First, we can set up the ratio of carrots to potatoes as 3:4. Since there are 12 carrots, we can set up the following proportion:
3/4 = 12/x
To solve for the number of potatoes, we can cross-multiply to get:
4x = 12 * 4
x = 48/4
x = <<48/4=12>>12 potatoes.
Therefore, there are 12 potatoes in the sack.
Answer:
Here's a graph that represents the relationship between the number of carrots and the number of potatoes in the sack:
Carrots (x) Potatoes (y)
0 0
3 4
6 8
9 12
12 16
As you can see from the graph, if there are 12 carrots in the sack, then there are 16 potatoes in the sack.
You can also use this graph to find the number of potatoes if you know the number of carrots, or to find the number of carrots if you know the number of potatoes. Simply find the number of carrots or potatoes on the x-axis or y-axis, and then follow the line upward or downward until you reach the line that represents the relationship between carrots and potatoes. The number you reach on the other axis is the number of carrots or potatoes.
Step-by-step explanation:
In the figure below, PQ≅QR JK=3x+23 and LM=9x-19 Find the length of PK.
The length of PK is half of the circle chord JK and is equal to 22.
How to evaluate for the length of PKWe shall first find the value of x by equating JK to LM as PQ is similar to QR, then we divide the circle chord with length JK to get PK as the radius forms an angle 90° with Jk.
9x - 19 = 3x + 23
9x - 3x = 23 + 19
6x = 42
x = 42/6
x = 7
JK = 3(7) + 23 = 44
PK = JK/2
PK = 44/2
PK = 22.
Therefore, the length of half the circle chord PK is equal to 22.
Learn more about circle here:https://brainly.com/question/12823137
#SPJ1
20. DEPRECIATION Depreciation is the decrease in the value of an item resulting from its age or weac. When an item loses about the same percent of its value each year, an exponential function can be used to model its decreasing value over time. The function g(x)=12,000(0.85)'' can be used to model the value of a $12,000 car as it depreciates at an annual rate of 15% over x years. g(x) is a dilation of the parent function f(x)=0.85*. The graph shows the function g(x).
a. Write the equation of a function h(x) that represents the depreciation of a $20,000 car depreciating at the same rate over x years.
b. Describe h(x) as it relates to the parent function.
c. What is the difference between the values of the $12,000 car and the $ 20,000 car after 5 years?
a). The equation of a function h(x) as required to be determined is; h (x) = 20,000 (0.85)^x.
b). The function h (x) as required to be described in terms of the parent function f(x) is a dilation of the parent function using a scale factor of 20,000.
c). The difference between the values of the $12,000 and the $20,000 car after 5 years is; $3549.6.
What is the equation of the function h(x) as required?It follows from the task content that the equation of the function g (x) is given as;
g (x) = 12,000 (0.85)^x.
a). To start with, since the rate of depreciation is same for the $20,000 car too; it follows that the exponential function which represents the situation is;
h (x) = 20,000 (0.85)^x.
b). It follows from transformations that; since the parent function f (x) = 0.85^x, the function g(x) can be described relative to the parent function as a dilation of the parent function using a scale factor of; 20,000.
c). The value of the $12,000 item after 5 years is;
g (5) = 12,000 (0.85)⁵ = $5324.5.
Also, the value of the $20,000 car after 5 years is;
h ( 5 ) = 20,000 (0.85)⁵ = $8874.1.
Ultimately, the difference between the values of the two items as required is; 8874.1 - 5324.5 = $3549.6.
Read more on exponential functions;
https://brainly.com/question/2456547
#SPJ1
PLEASE HELP
Sylvia purchases pens for her business from an office supply store. If she pays $0.40 for 5 pens, how many pens can she purchase with $6.00?
A) 48
B) 12
C) 75
D) 30
Based on the information, it can be inferred that Sylvia buys 75 pens for $6.00 (option C).
How to calculate the number of pens that Sylvia can buy?To calculate the number of pens that Silvia can buy we must carry out the following mathematical procedure
$6.00 / $0.40 = 1515 * 5 = 75According to the above, $6.00 is enough to buy 15 groups of 5 pens. So, that's why we multiply 15 by 5 to find the number of pens Sylvia can buy. In this case there are 75 pens. Additionally, the first procedure we divide the total money in the value of each group of pens to identify how many groups we can buy.
Read more about mathematics in: https://brainly.com/question/27235369
#SPJ1
Kelly has invested $5,000 in a
company. She has received $2,500
back. What is her return on equity?
Enter your answer as a percent.
[?]%
Return on Equity
net income
shareholder's equity
The return on equity is 50%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Kelly has invested $5,000 in a company. She has received $2,500 back.
The return on equity = 2500/5000 ×100
= 1/2 ×100
= 0.5×100
= 50%
Therefore, the return on equity is 50%.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
3. The ratio between raspberries, r, and strawberries, s, on a farm is 2248:562. Which equation below represents this relationship? Or=4s 0s= 120 Os=4r O r = 138
O r = 4s equation below represents this relationship.
What is equation?An equation is an expression that states the equality of two things. It is used in mathematics to express the relationship between variables and numbers. Equations are used to solve problems in a variety of fields, including physics, engineering, chemistry, and economics. An equation typically consists of an equal sign, two expressions, and one or more mathematical operations. For example, the equation x + 5 = 8 tells us that if we add 5 to x, the result will be 8. Equations are often written using symbols, such as x, y, and z, which represent unknown values.
This equation represents the relationship between raspberries, r, and strawberries, s, on a farm, where the ratio is 2248:562. The equation states that for every 4 strawberries, there are 2248 raspberries
To learn more about equation
https://brainly.com/question/2972832
#SPJ1
According to a recent national poll, 22% of US adults get an average of 7 or more hours of sleep per night. Assume this is the parameter value for the population. Suppose you select a random sample of 50 US adults and find that 10 of them get an average of 7 or more hours of sleep per night. Let p hat = the proportion in the sample who get an average of 7 or more hours of sleep per night. The probability that 20% or less of US adults get an average of 7 or more hours of sleep per night is 0.3664. Does this result provide convincing evidence against the poll’s claim? No, the difference between the sample result and what we expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.3664 > 0.05). No, there is a small chance of seeing the sample result. It is unlikely to occur by chance alone. Yes, the difference between the sample result and the parameter (2%) is less than 5%. Yes, the probability of seeing the sample result is so far from what we expected that the probability of it occurring by chance alone is very unlikely.
No, the difference between the sample result and what we expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.3664 > 0.05).
The correct option is A.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Given:
According to a recent national poll, 22% of US adults get an average of 7 or more hours of sleep per night.
Let x = Number of US adult get an average of 7 or more hours of sleep per night.
Assume this is the parameter value for the population.
That means,
Proportion of number of US adults get an average of 7 or more hours of sleep per night in population = p =0.22
Suppose you select a random sample of 50 US adults and find that 10 of them get an average of 7 or more hours of sleep per night.
1) The shape of this sampling distribution is approximately normal.
2) Let a = Number of US adults get an average of 7 or more hours of sleep per night in sample = 10
Sample size n = 50.
So, [tex]\hat {p}[/tex] = 10/50
[tex]\hat {p}[/tex] = 0.2
Option a) is correct.
3) σ[tex]_{\hat p}[/tex] = √(pq)/n
= √(0.22)(1 -0.22)/50
= 0.0586
The difference between the sample result and what we expected is not extreme enough.
Therefore, the probability of it occurring by chance alone is not unlikely (0.3664 > 0.05).
To learn more about the distributions;
https://brainly.com/question/29062095
#SPJ1
How to write as simplified fraction
3. A decagon has six equal exterior angles. Each of the
remaining four is fifteen degrees larger than these six
angles. Construct an equation and then solve it to find the
sizes of the angles.
Answer:
30,30,30,30,30,30,45,45,45,45
Step-by-step explanation:
The sum of the exterior angles is 360.
Let x = the equal one of the six equal angles
6x + 4( x + 15) = 360 Distribute the 4
6x + 4(x) + 4(15) = 360
6x + 4x + 60 = 360 subtract 60 from both sides
6x + 4x + 60 - 60 = 360 - 60
6x + 4x = 300 Combine like terms
10x = 300 Divide both sides by 10
[tex]\frac{10x}{10}[/tex] = [tex]\frac{300}{10}[/tex]
x = 30
30 + 15 = 45
Find the 10th term sequence OF 2, 3, 5, 8, 12
Answer: 47
Step-by-step explanation: 2,3,5,8,12,17,23,30,38,47,57
Answer:
57
Step-by-step explanation:
The sequence starts out 2 , 3 which is the 1st term of the sequence because from the number 2, 3 is one number away. . Then 3, 5 which is the 2nd sequence because 5 is two numbers away from the number 3. 5 to 8 is the 3rd sequence because 5, 6 , 7, 8.... three numbers away from the number 5 is 8. The problem continues from 8 to 12 is four numbers away, the next sequence is five numbers away. And the number 47 is 10 numbers away from 57 making 57 the 10th term.
Can someone please write the equation? Picture shown below
Thank you!
The equation of the line that represents the graph will be y = (2/3)x - 8.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the graph, the two points are (0, -8) and (6, -4). Then the equation of the line is given as,
(y + 8) = [(- 4 + 8) / (6 - 0)](x - 0)
y + 8 = (2/3)x
y = (2/3)x - 8
The equation of the line that represents the graph will be y = (2/3)x - 8.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ1
Which of the following expressions have a coefficient of 6 and a constant of 9
An expression which has a coefficient of 6 and a constant of 9 include the following: C. 6x + 9.
What is an algebraic expression?In Mathematics, an algebraic expression can be defined as a type of mathematical equation which is typically used for showing the relationship existing between two (2) or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity, numerical data, or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Assuming the variable is x, an algebraic expression that has a coefficient of 6 and a constant of 9 would be written as follows;
Algebraic expression = (coefficient × x) + constant
Algebraic expression = (6 × x) + 9
Algebraic expression = 6x + 9
Read more on coefficient here: https://brainly.com/question/20373613
#SPJ1
Complete Question:
Which of the following expressions has a coefficient of 6 and a constant of 9?
6 + 9x
9 + 6
6x + 9
9 - 6
5. Devi and Gill started saving money at the same time. Each day, Devi saves $1.40 and Gill saves 30 cents more than Devi. When Gill had saved $5.40 more than Devi, how much money had Devi saved?
Answer:
$25.20
Step-by-step explanation:
($5.40) / ($0.30/day) = 18 days
It took 18 days for Gill to save $5.40 more than Devi. So in those 18 days Devi saved:
$1.40/day x 18 days = $25.20
Simplify −4g(2g + 3).
−8g2 − 12g
−8g2 + 3
−8g + 3
−8g − 12g
Answer:
-8g2 - 8g + 3
Step-by-step explanation:
Answer:
−8g2 − 12g
Step-by-step explanation:
-4g(2g + 3)
-8g^2 - 12g
calculate the tax for each taxable income of a head of household
Answer:
The tax for each taxable income of a head of household depends on the tax rate that applies to that income and the applicable deductions and credits available to the taxpayer. The tax rate applied to a taxpayer's income depends on the taxpayer's taxable income and filing status. The tax rate for a head of household is generally lower than the tax rate for a single filer, but higher than the tax rate for a married taxpayer filing a joint return.
To determine the tax for a taxable income of a head of household, you can use the Internal Revenue Service (IRS) tax tables or a tax calculator. The tax tables provide tax rates and income ranges for each tax bracket, and you can use them to determine the tax on a given income. Alternatively, you can use a tax calculator to input your taxable income, filing status, and any applicable deductions and credits to determine the tax owed.
It's important to note that the tax rate for a head of household may change from year to year, as the IRS adjusts the tax brackets and rates. Additionally, the deductions and credits available to a head of household may change from year to year, so it's important to consult the IRS guidelines for the most current information.
Step-by-step explanation:
At a university, 34% of undergraduate students love spicy food, while 45% of graduate students love spicy food. Let and be the sample proportions of undergraduate and graduate students at this university, respectively, who love spicy food. Suppose 35 undergraduate students and 28 graduate students from this university are selected at random and asked if they love spicy food.
Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ?
The standard deviation of the sampling distribution of a sample proportion is about 0.00687.
Sampling Distribution of a Sample Proportion: When a distribution is formed by taking random samples of size N
from a population where the proportion in the category of interest is p
, and finding the proportion of the category of interest in each sample, it is called the sampling distribution of a sample proportion.
Standard Deviation: The standard deviation is a measure of how spread out data is. When referring to the standard deviation of the sampling distribution of a sample proportion, the standard deviation measures how far from the population proportion the sample proportions are on average.
P =X/n
=34%/45%
= 34/45
=0.75
N = 35 + 28
σp=√p(1−p)/N
= √0.75(1- 0.75)/63
= √0.75(0.25)/63
= 0.433/63
=0.00687
The standard deviation of the sampling distribution of a sample proportion is about 0.00687.
To know more about standard deviation of the sampling distribution visit brainly.com/question/24277447
#SPJ4
A circle has a diameter of 20 inches. What are the circumference and area of the circle?
Answer:
C = 62.8 in
A = 314.2 in²
Step-by-step explanation:
r = D/2 = 20/2 = 10 in
C = 2πr = 2π(10) = 62.8 in
A = πr² = π(10)² = 314.2 in²
If the radius of the circle is 2 in., the diameter is about_________________.
Answer:4
Step-by-step explanation:
The diameter is always 2*radius.
So, 2*2=4 !
the probability of hitting a target is p. find the expected number of shots required to knock all of the targets down.
The expected number of shots required to knock all of the targets down is 1/p.
Calculating the Expected Number of Shots Required to Knock Down TargetsThe expected number of shots required to knock all of the targets down is equal to 1 divided by the probability of hitting a target (p). This is because the probability of hitting a target on any given shot is p, and so the expected number of shots required to knock all of the targets down is the inverse of that probability. Therefore, the expected number of shots required to knock all of the targets down is 1/p.
Learn more about probability: https://brainly.com/question/13604758
#SPJ4
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
To prepare a piece of ground for building a brick patio, a rectangle measuring 10 feet by 12 feet must be marked off. Then the dirt within the rectangle must be dug out to a depth of 2 feet. Finally, the resulting space must be filled with sand.
(a) What is the formula for volume? What is the volume of sand needed, in cubic feet, to fill the space?
Show your work!
Answer: ____________________ cubic feet
If you used your calculator, show the numbers and operations that you used to get your answer.
(b) What is the formula for volume? Sand costs $5 per cubic foot. What is the total cost of the sand needed to fill this space, including a $40 delivery charge?
Show your work!
Answer: $____________________
If you used your calculator, show the numbers and operations that you used to get your answer.
The formula for volue is length x width x height.
The volume of the sand needed to fill the space is 240 feet³.
The total cost of the sand is $1240.
What is the total cost of the sand?The brick patio is the shape of a rectangular prism. In order to determine the volume of the brick patio, determine the product of the length, width and the height.
Volume of the brick patio = length x width x height
= 10 x 12 x 2 = 240 feet³
Total cost of the sand = (volume x cost per cubic foot) + delivery fee
Total cost of the sand = (240 x $5) + $40
Total cost of the sand = 1200 + 40
Total cost of the sand = $1240
To learn more about the volume, please check: https://brainly.com/question/26406747
#SPJ1
Simon sells hand made wooden dining tables in his furniture shop.
Due to a tree disease that has damaged lots of oak trees, the price of an oak table has gone up by 47%
The original price of an oak table was £300.
What will the new price of the table be?
The new price of the table, given the original price of the oak table and the increase in price, is £ 441
How to find the new price ?The new price of the table would be higher than the original price because the price of the oak table is said to have risen by up to 47 %. This means that whatever the price of the oak table was, it would now be 47 % higher.
The price of the oak table for Simon can be found by the formula :
= Original price of the oak table x ( 1 + rate of increase )
Original price = £300 .
Rate of increase = 47 %
The new price is :
= 300 x ( 1 + 47 % )
= 300 x 1. 47
= £ 441
Find out more on new price at https://brainly.com/question/3970609
#SPJ1
value of x for x - 5=7
Answer: x=12
Step-by-step explanation:
Add 5 to both sides. 7 + 5 is 12
savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Answer:
Savannah
Answer:
Savannah walks a further distance
Step-by-step explanation:
8/9 is a larger fraction than 2/3. This might be easier to see if we make these fractions have the same denominator.
[tex]\frac{8}{9} and \frac{6}{9}[/tex]
Therefore, savannah walked a further distance than Wendy.
Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home. Determine after how many hours Marisol will be 113 miles from home.
The number of hours that Marisol will be 113 miles from home is 5.5 hours.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
Since Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home.
Let the number ot hours be h.
The number of hours that Marisol will be 113 miles from home will be:
415.5 - 55h = 113
55h = 415.5 - 113
55h = 302.5
Divide
h = 5.5 hours
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
What’s is the correct answer answer asap for brainlist
Option (c) In the given Poem "Hope is the thing with a feather" Hope symbolizes a Strong-willed bird
What is Hope in this poem?"Hope" is described by the speaker as a winged creature that resides within the human spirit. This feathered monster sings a tune without any words and never stops. Its song is most enjoyable when heard in strong gusts. This bird's chirping could only be silenced by a storm that was quite intense. Many people have experienced warmth from the "Hope" bird. The narrator has heard the song of the bird in the coldest climates and on the most unusual seas. But even in the most extreme instances, according to the speaker, the bird never demanded anything in return.
The well-known poem "Hope is the thing with feathers" by American poet Emily Dickinson was composed sometime about 1861. In the poem, "Hope" is figuratively changed into a tenacious bird that dwells inside the human soul and sings its song despite everything. The poem basically aims to remind readers of the strength of optimism and how little it demands of people. Hope, according to the speaker, has always been a comfort in trying times and has never required anything in return. The poem "Hope is the Thing with Feathers" is one of many by Emily Dickinson that reinterprets an abstract idea using novel imagery and figurative language.
Learn more about the summary of poems here:
https://brainly.com/question/19543101
#SPJ1
unit 6: linear inequalities
write an inequality in each form given the solution set shown on the graph. check your work by substituting a test point into each inequality.
Answer:
he point (-1, 0) is a valid solution, and the inequality is correctly written
Step-by-step explanation:
There are three standard forms for linear inequalities:
Standard form: Ax + By > C
Slope-intercept form: y > mx + b
Point-slope form: y - y1 > m(x - x1)
To write an inequality in standard form, you need to know the coefficients of the variables (A and B) and the constant term (C). You can find these values by examining the slope and the y-intercept of the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in standard form, we can set A = 2, B = 1, and C = 1. The resulting inequality is 2x + y > 1. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 2(-1) + 0 > 1, which simplifies to -2 > 1, which is not true. Therefore, the point (-1, 0) is not a valid solution, and the inequality is correctly written.
To write an inequality in slope-intercept form, you need to know the slope (m) and the y-intercept (b) of the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in slope-intercept form, we can set m = 2 and b = 1. The resulting inequality is y > 2x + 1. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 0 > 2(-1) + 1, which simplifies to 0 > -2 + 1, which is true. Therefore, the point (-1, 0) is a valid solution, and the inequality is correctly written.
To write an inequality in point-slope form, you need to know the slope (m) and a point (x1, y1) on the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in point-slope form, we can choose a point on the line, such as (0, 1), and set x1 = 0 and y1 = 1. The slope of the line is m = 2, so the resulting inequality is y - 1 > 2(x - 0). This simplifies to y > 2x + 1, which is the same as the inequality written in slope-intercept form. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 0 > 2(-1) + 1, which simplifies to 0 > -2 + 1, which is true. Therefore, the point (-1, 0) is a valid solution, and the inequality is correctly written.
I’ll give BRAINLIEST if correct
Which inequality matches the graph ?
The linear inequality on the graph is:
2y - 3x ≥ 3
So the correct option is the third one.
Which inequality matches the graph?Here we have a linear inequality, we can see a solid line and the region above the line is shaded.
We can assume that the line is something like:
y = a*x + b
Where a is the slope and b is the y-intercept.
We can see that the line intercepts the y-axis at y = 3, then:
y = a*x + 3
And the x-axis at x = -2, then:
0 = a*-2 + 3
2a = 3
a = 3/2
Then the line is:
y = (3/2)*x + 3
And the inequality is:
y ≥ (3/2)*x + 3
If we multipy it all by 2 we will get:
2y ≥ 3x + 3
If we move the term with x to the left:
2y - 3x ≥ 3
That is the graphed inequality.
Learn more about linear inequalities by reading:
https://brainly.com/question/24372553
#SPJ1
How do you look for a correlation using data points?
Using data points, the value of correlation coefficient is obtained which expresses the link between two variables.
What is correlation coefficient?The correlation coefficient, which is used in correlation methods, captures the link between two variables in a single value. The correlation coefficient spans from -1 to +1 and is typically denoted by the letter r.
In order to find correlation using data points, the following steps are required to be followed.
Step 1: We need to determine the data sets.
We need to determine our variables and the data sets whose values can be placed in our equation. We need to separate these values by x and y variables.
Step 2: We need to calculate the standardized value for x variables.
After determining the data sets, the following equation is used to calculate a standardized value for every x(i) variable:
(z(x))(i) = (x(i) - x) / s(x)
where,
(x(i), y(i)) is a pair of data
x is the mean of x(i)
ȳ is the mean of y(i)
s(x) is the standard deviation of x(i)
s(y) is the standard deviation of y(i)
Step 3: We need to calculate the standardized value for y variables.
After determining the standardized value for every x(i), we need to repeat it for calculating each y(i) with the following equation:
(z(y))(i) = (y(i) - ȳ) / s(y)
Step 4: We need to multiply and find the sum.
After obtaining the standardized values, we need to multiply them together. After multiplying the values, we need to add them together for finding the sum.
Step 5: We need to divide the sum and determine the correlation coefficient.
In the last step, we will use n to represent the total number of points in the data pair. Then, we will divide the sum obtained in step four by n-1. This way we will obtain the correlation coefficient.
Hence, the correlation coefficient is obtained using the data points.
To know more about correlation coefficient visit:
brainly.com/question/12220189
#SPJ1
Write a Polynomial function that has the given zeros
5, -2+2i
The equation of the polynomial function is P(x) = (x- 10)(x² + 10x + 21)
How to determine the polynomial equation?The given parameters are
Leading coefficient, a = 1
Zeros = 5, -2 + 2i
There are complex numbers in the above zeros
So, the other zeros are
Zeros = -2 - 2i
The equation of the polynomial is then calculated as
P(x) = Leading coefficient * (x - zero)^multiplicity
So, we have
P(x) = 1 * (x - 5) * (x - (-2 + 2i)) * (x - (-2 - 2i))
This gives
P(x) = 1 * (x- 10) * ((x + 5)² - 4)
So, we have
P(x) = 1 * (x- 10) * (x² + 10x + 25 - 4)
Evaluate the products and the difference
P(x) = (x- 10)(x² + 10x + 21)
Hence, the equation is P(x) = (x- 10)(x² + 10x + 21)
Read more about polynomial at
brainly.com/question/17517586
#SPJ1
HELP HELP HELP need answer quick
Answer: (C)
Step-by-step explanation: By viewing the diagram, we can see that f(x) is the line drawn, and as that line heads down to negative infinity, the line is also heading towards positive infinity, and we can see this by comparing the line (f(x)) and the x-axis :)
