Answer:The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as : Now, from the given options, the possible choices can be : A, B, C and E D can be there because after taking any pair the rational root can't be 3
Step-by-step explanation:
HELP
i cant get this one wrong
Answer: You are already correct :)
Answer:
Option B: [tex]x+4y[/tex]
Step-by-step explanation:
Given [tex]7x+5y-6x-y[/tex]
Lets simplify.
Subtract [tex]6x[/tex] from [tex]7x[/tex].
[tex]x+5y-y[/tex]
Subtract [tex]y[/tex] from [tex]5y[/tex].
[tex]x+4y[/tex]
How to factor 75x^2-3
Answer: 75x^2-3 can be factored as (25x)^2 - 3 . The expression can be factored by taking the square root of the constant term and then using difference of squares.
In this case, the square root of -3 is not a real number, so it's not possible to factor it further.
So the final factored form of 75x^2-3 is (25x)^2 - 3.
Answer:
Step-by-step explanation:
75x^2-3 cannot be factored using integer numbers since it's a difference of squares. The expression 75x^2-3 is a binomial, not a trinomial. The difference of squares is a factoring pattern where you have a squared binomial subtracted from a constant.
75x^2-3 = 75x^2 -3x^2 = 72x^2 -3x^2 = (75-3)x^2 = 72x^2
So the factorization of 75x^2-3 is just 72x^2
If 3^4 is multiplied by 3^6, which expression is NOT equivalent?
Answer:
8 (sorry if i got it wrong)
A cube is painted so that one face is blue, two faces are red, and three faces are green. How many different such cubes can be painted
There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.
The Importance of Color Variety in Art: A Look at the Possibility of Painting a CubeWhen it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.
When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.
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Andre has $12.30 in pennies, nickels, dimes, and quarters. If he has the same number of each coin, how many of each does he have?
Answer:
Step-by-step explanation:
0 886 pennies no np
I need help It’s a little stressful
Yes, m∠ABC and m∠XYZ are congruent
No, lines FG and DE are not congruent
Yes, OR and OS are congruent
Yes, 2∠ and ∠4 are congruent.
What are congruent angles and line segmentsCongruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.
m∠XYZ = 180° - 140° {supplementary angles}
m∠XYZ = 40°
so;
m∠ABC and m∠XYZ are congruent
line FG = and line DE =
so;
FG and DE are not congruent
OR = 2in and OS = 2in
so;
OR and OS are congruent
∠2 and ∠4 are vertical angles and are equal so;
2∠ and ∠4 are congruent
Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.
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There are 12 months in a year. Use the drop-down menus to help write the equation that can be used to find the number of months, m, given the number of years, y.
The number of months, m, given the number of years, y is 12 years.
The Calendar in use today has 12 months every year. The length of the months is either 28, 29, 30, or 31 days. The 12 months of the Calender each have a length of 28 to 31 days. In a typical year, which has 365 days, each month has either 28, 30, or 31 days.
Months to Years Conversion. Divide the time by the conversion ratio to change the measurement from a month to a year. The months are equal to the years when split by 12.
12 months = 1 years
24 months = 2 years
36 months = 3 years
The number of months greater than the number of years
m= 12y
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If you place a 23-foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
The height of the building is: 20.2 foot
Step-by-step explanation:
Using the Pythagorean theorem we can find another side of a right-angled triangle if two among three sides are given.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
where a, and b are sides and c is the hypotenuse.
In our case base (b) is given and ladder length (c) is given, so the height of building (a) is :
[tex]a = \sqrt{c^2 - b^2}[/tex]
[tex]a = \sqrt{23^2 - 11^2}[/tex]
[tex]a = \sqrt{529-121} \\a = \sqrt{408}\\a = 20.199\\\\[/tex]
So the rounded answer of height is: 20.2 foot
what is 7/8-2 the answer is ______ can you solve it
Answer:
L C M
-9/8 will be your answer
correct if I'm wrong
What are the application of Theory X and Y?
The theories of motivation include theories X and Y. Managers use these theories, which are highly dissimilar from one another, to inspire their staff. While theory Y places an emphasis on rewards and recognition, theory X places more significance on supervision.
Let’s understand the application of Theory X and Theory Y:
While Theory X emphasizes the necessity of increased monitoring, outside rewards, and penalties, Theory Y emphasizes the significance of job pleasure as a motivator and encourages employees to approach jobs without direct supervision.
An organization that applies theory X will also have an authoritarian management style. There is hardly much management delegation of power. Companies that adhere to Theory Y, on the other hand, use a more decentralized approach, which means that employees share in authority. They are motivated as a result. Under theory Y, a few fundamental presumptions exist. One of them is that workers take ownership of their activities and work independently to further the objectives of the company. The employees are more engaged and attempt to resolve issues without the assistance of managers. This management approach is more prevalent than hypothesis X. Even a minor employee can take part in the decision-making process under this sort of management. Theory X relies on the notion of penalizing individuals in order to maintain employment, whereas theory Y emphasizes promotions, prizes, and recognition as key components. This maintains staff motivation to put in a lot of effort toward the organization's goals.
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The graph below shows the amount of money that Scott has to pay for extra labor for someone to help him work on his property. He hired his nephew to work after school and on weekends.
Scott’s Funds for Extra Labor
Money Available (dollars)
Time Worked (hours)
Which statement correctly describes the graph?
Responses
A Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.
B Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.
C Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
D Scott pays his nephew $20 per hour, and he initially had $900 for extra labor.
The statement that correctly describes the graph is Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. The correct option is c.
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.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,
m = (900 - 800) / (0 - 10)
m = - 100 / 10
m = - 10 dollars per hour
Then the equation is given as,
y = - 10x + 900
Therefore, the correct option is C. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
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-3x4y - 12
Line: Solid or Dashed?
Shade: Above or Below?
m=
b=
Are these points solution: (0,3)
(2,4)
(-1,-2)
Therefore , the solution of the given problem of inequality comes out to be m = 3 and b=4.
What is inequality?An inequality in mathematics is a link between two equations or values when there is no equal sign. Therefore, imbalance comes before inequality. An inequality creates a relationship between two numerical values that are not equal. Inequality and equality are different. have utilized the most typical sign for when variables are not comparable, not equal (). No matter how little or large the values, different inequalities are used to contrast them. A number of fundamental inequalities can be resolved by changing the two sides until the variables are all that is left. Numerous things can lead to unevenness, such as: The addition or division of low numbers from both sides. You switch the left and side.
Here,
Given : 0-3x < 4 y = 12
=> Linear : Solid or Dashed
=> m = 3
and
b =4
thus,
Therefore , the solution of the given problem of inequality comes out to be
m = 3 and b=4.
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You lift a 45 n bag of mulch 1. 2 meters and carry it a distance of 10 meters to the garden. How much work was done.
The work done in lifting a bag of mulch was 504 Joules.
To find the amount of work done in this scenario, you can use the formula for work, which is work = force x distance x cos(theta), where force is measured in newtons (N), distance is measured in meters (m), and theta is the angle between the force and the displacement.
In this case, first, you lifted the bag of mulch 1.2 meters against gravity and the force applied is 45N and the displacement is 1.2m, the formula becomes:
work = force x distance x cos(theta) = 45 N x 1.2 m = 54 J
After, you carry the bag of mulch 10 meters, and the force applied is still 45N and the displacement is 10m, so the formula becomes:
work = force x distance x cos(theta) = 45 N x 10 m = 450 J
Therefore, the total amount of work done in lifting the bag of mulch 1.2 meters and carrying it at a distance of 10 meters is 54 J + 450 J = 504 J.
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Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)
Answer:
[tex]-16[/tex]
Step-by-step explanation:
[tex]f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16[/tex]
Triangle ABC is an isosceles triangle. Find the measure of each base angle.
The measure of each base angle of the isosceles triangle is given as follows:
80º.
How to obtain the angle measure?An isosceles triangle is an angle that has two equal side lengths, meaning that the base angles also have the same measure.
For the top angle of the isosceles triangle ABC, we have that the semicircle, which has an arc length of 180º, is divided into 9 regions, hence it's measure is calculated as follows:
Top angle = 180º/9 = 20º.
For the base angles, each of them have the same measure, which we are going to call x.
The sum of the measures of the internal angles is of 180º, hence the value of x can be found as follows:
20 + 2x = 180
2x = 160
x = 160/2
x = 80º.
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APPRENTI Assessment Section. Math 61 Questions Math Ev Critical Thinking Soft Skills Question 42 The graph on the left shows the line y=x. What line does the graph on the right depict? YEX y=? 2 2 1 1 Xaxis xaxis 0. -2 - 1 70 1 2 -2 - 1 1 2 - 1 - 1 -2 - 2 yaxis y axis 1. y=x+2 2 y=2x 3. y=x^2 e APPRENTI Assessment Section. Math 61 Questions Math = Critical Thinking Soft skills Question 42 The graph on the left shows the line y x. What line does the graph on the right depict? yox ya? 1 1 xaxis xaxis 0 - 1 70 1 2 2 -1 1 -1 yaxis Y axis 1. y=x+2 2 y= 2x 3. y=x^2 Silbralt 011 here to search .
The graph on the right depicts the linear function y=2x.
Linear function graph is a straight line that depicts linear function y = f(x) = mx + k. It tells the dependent variable y changes by a constant amount as the independent variable x also changes by a constant amount. Whilst variable k is the y-intercept.
The slope of the graph, m, is determined by:
m = (y₂-y₁) / (x₂-x₁)
We are given two graphs. The left graph depicts the line y=x. We want to know what the right graph depicts.
Firstly, we pick two random points on the left graph to find the slope of the graph. Let's say we pick (1,2) and (5,10).
m = (y₂-y₁) / (x₂-x₁)
= (10-2) / (5-1)
= 8 / 4
= 2
Then we find the y-intercept (k), the point where the graph intersects the y-axis. Its value is 0.
Now we put the value of m and k into the linear function:
y = f(x) = mx + k
= 2x + 0
= 2x
Thus, the graph on the right shows the line y=2x
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I need help on this I don’t know how to do it
The quadratic equation y = x² - 4x - 5 have ordered points at (0, -5), (4, -5), (-2, 7) and (6, 7)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The standard form of a quadratic equation is:
y = ax² + bx + c
where a, b and c are constants
The degree of a quadratic equation is 2.
Given that:
y = x² - 4x - 5
When x = 0; y = (0)² - 4(0) - 5 = -5
When x = 4; y = (4)² - 4(4) - 5 = -5
When x = -2; y = (-2)² - 4(-2) - 5 = 7
When x = 6; y = (6)² - 4(6) - 5 = 7
The quadratic equation y = x² - 4x - 5 have a vertex at (2, -9)
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find 10 f(x) dx 0 if f(x) = 6 for x < 6 x for x ≥ 6 .
The value of integral , I = ₀∫¹⁰ f(x)dx where f(x) is function is sixty-eight.
A piecewise function is defined as a function built from pieces of different functions over different intervals. For example, take piecewise function f(x) where f(x) = 2 when x ≤ 1, f(x) = x when x>1. We have a function, f(x) defined by
f(x) = 6 when x<6
f(x) = x when x ≥ 6
We have to determine the value of following integral, ₀∫¹⁰f(x)dx . As see, the function f(x) has two different in between the [0,10]. So, the required integral divided into two different parts, with different limits of it,
I = ₀∫¹⁰f(x)dx = ₀∫⁶ f(x)dx + ₆∫¹⁰ f(x)dx
=> I = ₀∫⁶ 6dx + ₆∫¹⁰ x dx
=> I = [ 6x]⁶₀+ [ x²/2]¹⁰₆
=> I = [ 36 - 0 ] + [ (10)²/2 - (6)²/2]
=> I = 36 + 64/2 = 36 + 32
=> I = 68
So, required integral value is 68.
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WHO EVER TELLS ME THIS AND GETS IT RIGHT GET BRAINIEST
Answer:
0.91
Step-by-step explanation:
The overlapping grid space represents the product of 1.3 and 0.7
1.3 * 0.7
= 0.91
Answer:
D. 0.91
Step-by-step explanation:
Yasmine is serving ice cream with the birthday cake at her party. She has purchased 19 1/2 pints of ice cream. She will serve 3/4 of a pint to each guest. Will there be any ice cream left?
The answer to if there will be any ice cream left, given the amount of ice cream that Yasmine purchased and the pints to each guest, is no.
How to find the leftover ice cream ?First, convert the amount of ice cream that Yasmine bought, to a decimal so that it can be worked on with more ease.
19 1 / 2 pints of ice cream :
= 19 + 1 / 2
= 19 + 0. 5
= 19. 5 pints
If each guest got 3 / 4 pints, then there would be some ice cream left if there is a remainder :
= 19 . 5 ÷ 3 / 4
= 19. 5 x 4 / 3
= 26 guests
There is therefore no ice cream left.
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I need help please I need to do this tonight
Answer: -4
Step-by-step explanation:
-2+3-5=-4
I HOPE THIS HELPS!!!!
PLS HELP ASAP! Use the distributive property to remove the parentheses. (w - 9) 11
Answer: 11w - 99
Step-by-step explanation:
(w-9) x 11 = (w)(11) - 9(11)
= 11w - 99
2(8-8)-10v need help ASAP
Answer: -10v
Step-by-step explanation:
**in the attached file** :)
Which table shows a proportional relationship?
The tables that show a proportional relationship is are :
Table 1Table 3Table 4What is a proportional relationship ?If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.
In Table 1, we can see a proportional relationship because the values of x are increasing by 1 while the values of y are increasing by 3.
Table 3 also shows a proportional relationship because the values of p are increasing by 2 while the values of q are also increasing by 2 at the same time.
For this same reason, Table 4 shows a proportional relationship with r increasing by 5 while s is increasing by 1.
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Jessie is making a $5,000 investment that will be compounded annually at 10% for the next 10 years. what’s the future value of the original investment?
The total amount after 10 years would be $12968.71.
Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.
Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals
The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.
Here,
P = $5,000
r = 10% = 0.1
n = 1 (since the interest is compounded annually)
t = 10 years
The total amount after 10 years would be
[tex]A = P (1+ \frac{r}{n} )^{nt} \\A = 5000 (1 + \frac{0.1}{1}) ^{1*10}\\A = 5000 (1.1)^{10}\\A = 12968.71[/tex]
Thus, the total amount after 10 years would be $12968.71.
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Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)
A. The functions are classified as follows:
House 1: Exponential.House 2: Linear.B. The functions are defined as follows:
House 1: f(x) = 294580(1.03)^x.House 2: f(x) = 295000 + 9000x.C. The value of each house after 25 years is given as follows:
House 1: $617,785.House 2: $520,000.There is a significant difference in the value of either house after 25 years, as exponential functions increase faster than linear functions, especially for larger input values.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
Hence the house 1 has the value function as an exponential function, as:
312,519.92/303,417.40 = 303,417.40/294580 = 1.03
The function is defined as follows:
f(x) = 294580(1.03)^x.
And the value of the home after 25 years is given as follows:
f(25) = 294580(1.03)^25 = $6176,785.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
Hence the value of the house 2 is linear, as the rate of change each year is of $9,000.
The function is defined as follows:
f(x) = 295000 + 9000x.
The value after 25 years is given as follows:
f(25) = 295000 + 9000(25) = $520,000.
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Albert drew a rhombus in a coordinate plane, and three of its vertices are listed below.
(5, 2) (7, 0) (9, 2).
Which ordered pair could represent the fourth vertex of this rhombus?
When Albert drew a rhombus in a coordinate plane, and three of its vertices are (5, 2), (7, 0), (9, 2). the fourth point is (3, 0)
How to find the third side of the rhombusThe length of sides of a rhombus are equal, hence in an ordered pair the length of a side will be calculated using using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
distance between points (5,, 2) and (9, 2) is calculated as follows
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
d =√{(5 - 9)² + (2 - 2)²}
d =√{16 + 0}
d = √16
d = 4 units
subtracting 4 units in (7, 0)
(7 - 4, 0)
(3, 0)
the fourth side of the rhombus is (3, 0)
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A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume? Use 3.14 for x.
O301.44 cubic feet
75.36 cubic feet
75.26cubic feet
75.39 cubic feet
6 ft
dont take my word for it but,
The volume of a cylinder can be calculated using the formula:
V = x * r^2 * h
Where:
V is the volume of the cylinder
x is the value of pi (3.14 in this case)
r is the radius of the cylinder (half the diameter, so 2 feet in this case)
h is the height of the cylinder
Plugging in the values from the problem, we get:
V = 3.14 * 2^2 * 6
= 3.14 * 4 * 6
= 75.36 cubic feet
So the volume of the rainwater collection tank is 75.36 cubic feet. The answer is therefore 75.36 cubic feet (Option B).
Answer:
75. 36 ft²
Step-by-step explanation:
The volume of the cylinder can be calculated as:
base * height
the formula of base is:
πr²
find the radius by finding half the diameter: 4 ÷ 2 = 2 ft
π* 2² = 12.56 ft²
Then we calculate for the volume
12.56 * 6 = 75. 36 ft²
= Dos de cada cinco de las ovejas de un rebaño han te-
nido esta primavera un corderito. ¿Qué porcentaje su-
pone eso?
Answer:
No- se p-ero quiero pun-tos
Step-by-step explanation:
por -favor :D
8th grade math
Write an equation that models each situation in slope-intercept form by finding the slope and y-intercept
Emma started with some money from her birthday and then saved the same amount from her allowance each week. After 4 weeks of saving, Emma had $32. After 8 weeks of saving she has $42.
Answer:
y = 2.5x + 22
Step-by-step explanation:
the two points are (4,32) and (8,42)
The slope would be
[tex]\frac{42 - 32}{8-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5
This is the slope. She saves $2.50 per week.
the y-intercept is how much money she started with
Use one point. I will us (4,32) and the slope (2.5)
y = 32
m = 2.5
x = 4
y = mx + b
32 = 2.5(4) + b
32 = 10 + b Subtract 10 from both sides
22 = b
This is the y-intercept. This is how much money she had in the beginning.
y =mx + b
y = 2.5x + 22
