Answer:
f(2) = -3
Step-by-step explanation:
Find f(2) given f(x) = 2x^2 + 5x - 21
Since on the left side, x is replaced by 2, on the right side, x should also be replaced by 2.
f2 = 2(2)² + 5(2) - 21
2 x 2² = 2 x 4 = 8
5 x 2 = 10
8 + 10 = 18
18 - 21 = ?
-(21 - 18 = 3)
-21 + 18 = -3
f(2) = -3
Factor completely 3x3 − 3x2 − 18x. 3x(x 3)(x 2) 3x(x 3)(x − 2) 3x(x − 3)(x 2) 3x(x − 3)(x − 2).
explain the importance of factoring and substitution while solving trigonometric equations
Answer:
Explain in your own words how knowledge of algebra is important when solving trigonometric equations.
Step-by-step explanation:
Hi there please help me
On question two I’m not understanding why they put the brackets in when there was no brackets in the equation they gave me to solve
Answer/Step-by-step explanation:
When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.
Instead of ((-2+5)x4), it would be [(-2+5)x4]
It does not affect the answer
Click or tap the number line to add a dot
Consider the data shown below.
6,8,0, 2, 2, 8, 7, 8, 4, 8, 6, 3, 8, 2, 0, 8, 2, 3, 8
Which measure of center would best describe a typical
value of the data set? Why?
would be better,
because the data distribution is
0
2
3
4
5
6
7
8
Based on the given data, the center of measure that should be used is the Median because the data distribution is skewed.
Which center of measure should be used?First order the dataset:
0, 0, 2, 2, 2, 2, 3, 3, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8
We can see that the data is skewed.
When dealing with skewed data, the median is the best measure because it would not be influenced by the skew in the data set.
Find out more on skewness in data at https://brainly.com/question/24055593.
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Answer:
Step-by-step explanation:
median
skewed
What is the question of pi?
Answer:
It is also called Archimedes constant which was named after the Greek mathematician, Archimedes, who created an algorithm to approximate the pi value. The value of pi is irrational, which means that the count of digits after the decimal point is infinite.
I hope this helped (;
Answer:
of a Circle. The circumference divided by the diameter of a circle is always π, no matter how large or small the circle is! To help you remember what π is ... just draw this diagram.
...
Step-by-step explanation:
What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 8x.
The constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is 16.
What is perfect square trinomials?A trinomial which is expressed as the square of the binomial equation is a perfect square trinomial.
Let the constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is P. Thus the trinomial can be given as,
[tex]x^2+8x+P[/tex]
Now, the algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.
The two equal factor with the middle terms being 8x can be for a trinomial (x+4). Thus,
[tex]x^2+8x+P=(x+4)^2\\x^2+8x+P=x^2+8x+4^2\\x^2+8x+P=x^2+8x+16[/tex]
Comparing both sides, we get,
[tex]P=16[/tex]
Thus, the constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is 16.
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help please!!!!!!!!!
Last week, Paula worked 23 hours. This week, she worked 18 hours more than last week. She earns $11.75 per hour. How much money does Paula make?
Answer: $752
Step-by-step explanation:
Last week: 23
This week: 23 + 18 = 41
Total = 41 + 23 = 64
64 x 11.75 = $752
What is a secure line of credit? a. A line of credit offered only to individuals with excellent credit ratings. B. A line of credit offered to a business or corporation. C. A line of credit backed by the government. D. A line of credit backed by collateral. Please select the best answer from the choices provided A B C D.
Answer:
d. A line of credit backed by collateral.
Step-by-step explanation:
i just took the test
Marcy wants to know which type of book is most commonly checked out by visitors of her local public library. She surveys people in the children's reading room between 1:00 and 2:00 on Saturday afternoon. Which statements about Marcy's survey are true? Select all that apply.
It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.
What does Marcy want to study?Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.
How was the sample Marcy selected?The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.
Based on this, it can be concluded her population is all visitors and the sample is not representative.
Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.
Learn more about population in: https://brainly.com/question/905400
Answer: Look at the explanation
Step-by-step explanation:
Note that I think it is the question in the math book.
Its says... (from what I see in my book)
A) Marcy’s sample is not a representative sample because not all of the library’s visitors go to the children’s reading program.
B) Marcy’s sample is a represnetative sample of the population.
C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.
D) The population of Marcy’s study consits of all visitors of the public library.
E) The results of Marcy’s survey include a mode, but niether a mean nore a median.
The answers that are true are
A
D
E
Why?
Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population
*Note that the whole population is the people in the library*
Marcy needs to ask people who are in and not in the children’s reading room.
I am not sure if this is correct but I hope this helps with your question.
Will someone tell me if this is correct please?
The distance between the two places on a map is 4.5 in. If the scale on the map is 0.75 in: 4 miles, how far apart are the two places in real life.
Answer:
24 miles
Step-by-step explanation:
Since 4.5 divided by 0.75 is 6, 6 times 4 is 24.
Find the measure of each interior angle of the regular polygon (The polygon has 12 sides)
Answer:
150°
Step-by-step explanation:
To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180
(12-2)=10
10*180=1800
Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.
So,
1800/12=
150
Hope this helps!
Answer:
150 degrees.
Step-by-step explanation:
So every polygon's interior angles will always add up to a multiple of 180 degrees depending on the amount of sides, if it's a regular polygon all interior angles will be the same.
(3 sides = 180 degrees, 4 sides = 360 degrees, 5 sides = 540 degrees etc.)
12 sides will always add up to 1800 degrees.
1800 / 12 = 150
Therefore, each interior angle is 150 degrees.
Aunt sue baked a batch of cookies and shared 3/10 of them with her neighbor. If she gave 15 cookies to her neighbor, how many cookies had aunt sue bake altogether?
If she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Aunt sue baked a batch of cookies and shared 3/10 of them with her neighbor and she gave 15 cookies to her neighbor.
We have to solve the following problem by applying the arithmetic operation in the following fractions.
Suppose there is x number of cookies aunt sue bake altogether,
3/10 of x = 15
3x/10=15
x=(10×15)/3
x=150/3
x=50
Thus, if she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.
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1 .Which of these is an equation?
Choose 1 answer:
A) 4
B) 9 - 5 = 4
С) 9 - 5
2. Which of these are true equations?
Choose all answers that apply:
A) 7 - 2 = 7 + 1
B) 8 + 2 = 5 + 5
C) 10 = 8 + 2
Answer:
1.B 2.B and C
Step-by-step explanation:
because equations are equal on both sides of the equal sign
algebraaa pleaseeee helppp
Answer:
A) The sequence is geometric because the sequence is increasing by a factor of 2 being multiplied to each term, when ascending from left to right.
B) [tex]a_{n} = 5(2)^{n-1}[/tex]
C) [tex]a_{n} = a_{n-1} *(2) ;a_{1}= 5[/tex]
Step-by-step explanation:
The sequence is multiplying each term by a factor of 2.
5*2=10
10*2=20
20*2=40
Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, then which equation below fully models in the information given in this problem?
A. 3a-2=54
B. a+(3a-2)=54
C. a+(2-3a)=54
D. a-(3a-2)=54
WILL GIVE BRAINLIEST What is the solution to the equation 1 over 3 multiplied by n equals 6?
n = 3
n = 9
n = 18
n = 216
Step-by-step explanation:
Break down the word problem.
1 over 3 multiplied by n equals 6.
[tex] \frac{1}{3} \times n = 6[/tex]
Multiply each side by 3 to eliminate the fraction:
[tex]n = 18[/tex]
What is text formatting in html ?
Answer:
HTML Formatting basically refers to the enhancing of text in order to increase the visual appeal. HTML provides a range of formatting tags that can be used to make the text attractive to the users. There are many options available that can be used for formatting, just like any other text editor.
Step-by-step explanation:
I hope this helps!URGENT! First one to make the equation into a slope intercept form equation with details how, WILL get brainliest!
2x + 3y = 1470
Answer:
[tex]\sf y = -\frac{2}{3}x +490[/tex]
Explanation:
[tex]\sf 2x + 3y = 1470[/tex]
[tex]\sf 3y = 1470 - 2x[/tex]
[tex]\sf y = \frac{1470 - 2x}{3}[/tex]
[tex]\sf y = -\frac{ 2x}{3} +\frac{1470}{3}[/tex]
[tex]\sf y = -\frac{2x}{3} +490[/tex]
[tex]\sf y = -\frac{2}{3}x +490[/tex]
slope intercept form: y = mx + b
where m is slope and b is y-intercept.
Slope intercept form of a line
y=mx+bLets do
[tex]\\ \rm\Rrightarrow 2x+3y=1470[/tex]
[tex]\\ \rm\Rrightarrow 3y=-2x+1470[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-2}{3}x+490[/tex]
m=-2/3b=490Ari will be a teenager 1 3/4 years His little sister anna will be one in 3 1/4 years how much longer does anna have to wait than ari?
Answer:
well this is just 3 1/4 - 1 3/4
Step-by-step explanation:
1 2/4 (or just 1 1/2)
Ari will be a teenager in 1 3/4 years His little sister anna will be one in 3 1/4. The longer anna has to wait than ari is 1 2/4.
We have given that,
Ari will be a teenager 1 3/4 years His little sister anna will be one in 3 1/4 years
We have to determine the how long does anna have to wait than ari
well , this is just 3 1/4 - 1 3/4.
What is subtraction?
The process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference.
Therefore we get the
3 1/4 - 1 3/4=1 2/4 (or just 1 1/2).
Therefore the longer anna has to wait than ari is 1 2/4.
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write down Mrs chauke's balance on the 25march in words
Given:
f(g)=(-10*g^2+17*g-6) / (-15*g^2-2*g+24)
Factor both numerator and denominator:
f(g)=-(2g-1)(5g-6)/(-(3g+4)(5g-6))
if 5g-6≠0, we can cancel out the factor (5g-6).
We can also cancel the negative signs to simplify to
f(g)=(2g-1)/(3g+4) on condition that g≠6/5
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
Data;
Monthly income = 32040Balance on March 25Assuming that Mrs. Chauke has received monthly income and didn't touch it till march 25th, we can easily calculate what her balance would be by knowing how many months interval are there from January to March which is 3 and then we multiply her monthly income by 3 to know her balance at that day.
This is calculated as
[tex]32040 * 3 = 96120[/tex]
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
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Which system of equations has the same solution as the system below?
5+2g = 45
4x + 4y = 48
-
Submit Answer
O
5x – 4y = –90
4x + 4y = 48
O
-10x – 4y = -90
4x + 4y = 48
--
-10x + 2y = -90
4x + 4y = 48
-10x – 4y = 45
4x + 4y = 48
Answer: (1) (2) (4)
Step-by-step explanation:
the sum of 48 and twice a number is 58. find the number
Answer:
5
Step-by-step explanation:
5 x 2 is 10 and 48 plus 10 is 58
Which two whole numbers are closest to 42 square root
Answer:
The two numbers are 36 (62) and 49 (72).
Step-by-step explanation:
Answer:
6 and 7
Step-by-step explanation:
consider perfect squares either side of 42, that is 36 and 49 , then
36 < 42 < 49 , so
[tex]\sqrt{36}[/tex] < [tex]\sqrt{42}[/tex] < [tex]\sqrt{49}[/tex] , that is
6 < [tex]\sqrt{42}[/tex] < 7
A rectangular football field is 120 yards long by 53 yards wide. A player runs from one corner of the field in a diagonal line to the opposite corner of the field. How many yards did the player do.
Answer:
they will travel about 131.18 yards.
Step-by-step explanation:
Answer:
131.18 yards
Step-by-step explanation:
Joe's total bill for pizza and soft drinks was $27. 50. He left a
20% tip for their server. How much tip did he leave?
Answer:
You would take 27.50, and whats 5% of that?
Answer would be about 1.4.
Times that by 4 and there is your answer :)
Malcolm and Ravi raced each other.
The average of their maximum speeds was 260\text{ km/h}260 km/h260, start text, space, k, m, slash, h, end text. If doubled, Malcolm's maximum speed would be 80\text{ km/h}80 km/h80, start text, space, k, m, slash, h, end text more than Ravi's maximum speed.
What were Malcolm's and Ravi's maximum speeds?
Answer:
Let m and r represent the maximum speeds of Malcolm and Ravi in km/h, respectively.
... (m + r)/2 = 260 . . . . . the average of their speeds was 260 kph
... 2m = r + 80 . . . . . . . . double Malcolm's speed is 80 kph more than Ravi's
The second equation can be solved for r and that expression substituted into the first equation.
... 2m - 80 = r . . . . . . . . . . . an expression for r from the second equation
... (m + 2m - 80)/2 = 260 . . . the result of substituting that into the first
... 3m - 80 = 520 . . . . . . . . multiply by 2
... m = 200 . . . . . . . . . . . . . add 80 and divide by 3
... 2·200 - 80 = r = 320 . . .substitute the value of m into the expression for r
Malcolm's maximum speed was 200 km/h.
Ravi's maximum speed was 320 km/h.
Step-by-step explanation:
Use the slopes to describe each line as slanting downward, slanting upward, horizontal, or vertical. explain your answer.
(1,3) and (1, -10)
Step-by-step explanation:
The slope of 3 and -10.
If the slope is above 0, the line is increasing.
If the slope is at 0, it's a horizontal line or straight. Vertical If the run is 0.
If the slope is below 0, the line is decreasing.
3 is slanting upward, the slope is greater than 0 therefore the line is increasing.
-10 is slanting downward, the slope is less than 0 therefore the line is decreasing.
The circumference of a circle is 20 4/35 cm. What is the approximate diameter of the circle? Use 22/7 for π. Enter your answer as a mixed number in simplest form in the box. cm
The approximate diameter of this circle is equal to 6.4 cm.
Given the following data:
Circumference of a circle = [tex]20\frac{4}{35}[/tex] cm.[tex]\pi = \frac{22}{7}[/tex]To determine the approximate diameter of this circle:
How to calculate the circumference of a circle.Mathematically, the circumference of a circle is given by the formula:
[tex]Circumference = \pi D[/tex]
Where:
D is the diameter of a circle.Substituting the given parameters into the formula, we have;
[tex]20\frac{4}{35}=\frac{22}{7} D\\\\\frac{704}{35} =\frac{22D}{7} \\\\704\times 7=22D \times 35\\\\4928=770D\\\\D=\frac{4928}{770}[/tex]
D = 6.4 cm.
Read more on circumference of a circle here: brainly.com/question/14478195
Answer:
6.4 = 6 2/5
Step-by-step explanation:
i took the test
ayo
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The sum of one third of a number and five is equal to six less than the number
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
