For items 14 and 15 use the following functions
f(x)=5x+1
g(x)=3x-4

14. Evaluate f(2), g(2), (f o g) (2), and (g o f)(2).

15. Write the composite functions h(x)=g(f (x)) and k(x)=f(g(x)).

Answers

Answer 1
To find f(2), plug in 2 for x. f(2) = 11 To find g(2), plug in 2 for x. g(2) = 2 To find (f o g) (2), plug in 2 for the composite function = 11. To find (g o f) (2) plug in 2 for the composite function = 29. g(f(x)) is when you plug in f(x) into g: 3(5x+1) - 4 = 15x - 1. f(g(x)) is when you plug in g(x) into f: 5(3x-4) + 1 = 15x -19.

Related Questions

Which of the following are valid names of triangles below click all that apply

Answers

isoscele triangle, equalateral triangle, and scalene triangle

Answer

pic?

Step-by-step explanation:

BRAINLIEST TO BEST ANSWER THAT SHOWS ALL WORK, YOU MIGHT NEED TO WRITE THIS OUT ON PAPER.

5. You are given the following equation: 24+6=−18
5a. Identify the x-intercept of the equation.
5b. Identify the y-intercept of the equation.
5c. Graph the equation.

Answers

x-intercept: 3/4
y-intercept: -3

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=h ( a+b ) 2 Solve for b.

Answers

I believe the right equation for determining the area of a trapezoid is as below,
     A = h(a + b)/2

To determine the expression for b which is the length of one of its bases, we multiply the equation by 2.
    
    2A = h(a + b)

Then, divide both sides of the equation by h,

    2A/h = a + b

Then, subtract a from both sides of the equation,
    2A/h - a = b

Lastly, interchange the sides of the equation to reveal the answer.
     
   b = 2A/h - a 

B= 2a/ h - a


Hope it helps!


An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side? Explain how you would define a variable for this problem.

Answers

2x+(2x-5)=23
4x=28
x=7
2×7-5=9
The third side is 9 the variable is x
Final answer:

To find the length of the third side, we can set up an equation using variables. Solving the equation will give us the length of the third side.

Explanation:

To solve this problem, we can define variables to represent the lengths of the two equal sides of the isosceles triangle. Let's say the length of each equal side is x. The third side can then be represented as 2x - 5. Since the perimeter of the triangle is 23 cm, we can set up an equation:

x + x + (2x - 5) = 23

Now we can solve for x:

4x - 5 = 23

4x = 28

x = 7

Therefore, the length of the third side is 2(7) - 5 = 9 cm.

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Each of my daughters has as many brothers as sisters, but each of my sons has three times as many sisters as brothers. How many children do I have?

Answers

Put the number of daughters as x and number of sons as y.

For the first half of the statement:
Number of sisters any daughter has = x-1 ( because you can't be your own sibling)
Number of brothers = y

y=x-1.

For the second half:
Number of sisters any son has = x
Number of brothers any son has = y-1

3(y-1)=x

Solve as system of equations.
3y-3=x
3(x-1)-3=x
3x-3-3=x
2x=6
x=3
y=x-1=3-1=2

3 daughters and 2 sons.

Hope this helps!
Your fortune is "You can't have everything...where would you put them all?"
Final answer:

The family has 3 sons and 3 daughters, for a total of 6 children.

Explanation:

The question is a problem in basic algebra which can be solved using simple logical reasoning. We are given that each daughter in the family has as many brothers as sisters, and each son has three times as many sisters as brothers.

Let's start by saying that the number of daughters is D and the number of sons is S.

If each daughter has the same number of brothers as sisters, that means D = S. But, each son has three times as many sisters as brothers, which we can express as S = 3*(D - 1), because the number of sisters for each son is the number of daughters minus one (each son doesn't count himself as a sister).

By substituting D from the first equation into the second, we get S = 3 * (S - 1), which simplifies to S = 3, and thus D = 3 as well.

So, the family has 3 sons and 3 daughters, for a total of 6 children.

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what is the answer to this 5+5x=-2x+5=?

Answers

5x = -2x
5x + 2x = 0
7x = 0
x = 0

5+5x=-2x+5

Isolate the x. Add 2x to both sides, and subtract 5 from both sides

5 (-5) + 5x (+2x) = -2x (+2x) + 5 (-5)

5x + 2x = 5 - 5

8x = 0

Isolate the x. Divide 8 from both sides

8x/8 = 0/8

x = 0

0 is your answer

hope this helps

The sum of the angle measures of a polygon with n sides is 1260. find n.

Answers

Knowing the interior angle sum formula is; 

180x(n-2)

180x(n-2)=1260 (solve for n here) 
180n-360=1260 
180n=1260+360
180n=1620 
n=1620/180 
n=9

Therefore, this polygon has 9 sides.

Hope I helped :) 

The sum of the angle measures of a polygon with 9 sides is 1260.

What is Angle Sum property?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

As, the sum of the interior angles

(x - 2) x 180 where x is number of sides.

Here, the angle sum for n side is 1260.

So, (n -2) 180 = 1260

n -2 = 1260 / 180

n - 2 = 7

n= 7+2

n= 9 sides

Thus, the polygon have 9 sides.

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A storage tank at a 24-hour gas station contains 25,000 gallons of gasoline at 8:00 a.m. on Monday. At 8:00 a.m. on Friday of the following week, the amount of gasoline in the tank has decreased to 7000 gallons. What is the average hourly rate of change of gasoline in the tank?

Answers

-56.818 (repeating) gallons per hour

Solve for q.

s = 4p + 4q

I'm thinking q= s - 4p
--------
4

Answers

q=-p+8/4
that ur answer

Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?

Answers

Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
   2x=72
   x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
   36+y=56
   y=20

Answer: 20 and 36

13) Ms. Dowd gave each student 6 liters of water to perform an experiment. Before starting the experiment, students had to verify the volume of water they received by taking three different measurements. Which of the following was the most precise measurement Ms. Dowd received? *
A) 5.9
B) 6.045
C) 6.0014
D) 6.12

Answers

The most precise measurement is C.
I'd say C, because the other answers are in the tenths, hundredths, or thousandths. C is in the ten-thousandths. Hope that helped

true or false circumference is the distance around the outside of a circle.

Answers

The answer to the question is true
True circumference is the distance around the outside of a circle

BRAINLIESTTTTT
1. Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.

f(x) = 4x − 6
f(x) = x + 4
y = x + 4
y = 4x − 6

Answers

Answer:

  1.  f(x) = 4x -6

  2. see the attachment

Step-by-step explanation:

1. The only two answer choices using "function notation" are the first two, which are of the form ...

  f(x) = <some expression involving x>

The only one of these that can describe both points is the first one:

  f(x) = 4x -6

  f(3) = 4·3 -6 = 6

  f(4) = 4·4 -6 = 10

__

2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.

Could someone help with 14 I know it’s not a Consecutive interior but it could be A) alternate interior B) alternate exterior C) corresponding D) exterior

Answers

1, 4, 6, and 7 are all alternate exterior angles because they are crossed by the transversal line through the middle and they are all on the outside, or exterior, and they are alternate, or opposite. they would be congruent only if they are parallel. 

-hope this helps

HELP, I NEED SOMEBODY
2. Solve the equation p^2 + 4p = 1 by completing the square. Show your work

Answers

The solutions to the equation [tex]p^2+4p=1[/tex] using completing the square method are  [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

The given equation is:

[tex]p^2+4p=1[/tex]

Add [tex](\frac{4}{2})^2[/tex] to both sides of the equation

[tex]p^2+4p+(\frac{4}{2})^2= 1 + (\frac{4}{2})^2\\\\p^2+4p+2^2=1+2^2\\\\(p+2)^2=1+4\\\\(p+2)^2=5\\\\[/tex]

Find the square root of both sides

[tex]p+2 = \pm\sqrt{5}\\\\p=-2\pm sqrt{5} \\\\p = -2 - sqrt{5}\\\\p=-2+ \sqrt{5}[/tex]

The roots of the equation are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

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Final answer:

The equation p² + 4p = 1 can be solved by first rearranging to p² + 4p - 1 = 0, completing the square, simplifying and taking square roots. The solutions are p = -2 + sqrt(5) and p = -2 - sqrt(5).

Explanation:

To solve the quadratic equation p² + 4p = 1 by completing the square, we first arrange the equation with the quadratic and linear terms on one side and the constant on the other:

p²+ 4p - 1 = 0.

Next, we complete the square by adding the square of half the coefficient of p to both sides of the equation. The coefficient of p is 4, so half of it is 2, and squaring it gives 4. So, we have:

p² + 4p + 4 = 1 + 4

This simplifies to:

(p + 2)² = 5

Then, we take square roots of both sides:

p + 2 = ± sqrt(5)

Which further simplifies to:

p = -2 ± sqrt(5)

So, the solutions for this quadratic equation are p = -2 + sqrt(5) and p = -2 - sqrt(5).

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SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and each roll contains 40 nickels. The bank will not give partial rolls. The function that models the number of nickels Cindy will have after leaving the bank is f(r)=40r+26, where r is the number of rolls of nickels she gets.

What is the practical range?

The graph shows the amount of dirt left to remove, y, with respect to number of loads of dirt, x.
What is the y-intercept?
What does the y-intercept represent?
(Graph is attached...) Thank you in advanced!

Answers

Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels


Step-by-step explanation:

Given function  f(r)=40r+26, where r is the number of rolls of nickels she gets.


as it is already mentioned that she can get up to 10 rolls of nickels.


Therefore domain of function contains r ≤10,such that r is a natural number.


i.e.Domain of f(r)=all integers from 1 to 10, inclusive.


Domain of a f(x) is a set of values of x which make function f(x) well defined.



--------------------------------------------------------------------------------------------------------


Have a great day! ( :

Help me with this please

Answers

Alright, so for every addition or subtraction (without the whole thing being in parenthesis and multiplied by something) sign, there is 1 term to the right of it and 1 term to the left of it. However, we have to make sure not to overlap - for example, m is only 1 term - it can't be counted as 2 since it's to the right of a - and to the left of a +. Our terms are therefore 2m²n, 2mn², m, 3n, and 9

The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A?

Answers

Answer:

answer is B

it is less than Zx for set B

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?

Answers

H' = -2 -5, -3 + 9 = (-7, 6)

Answer:

(-7,6)

Step-by-step explanation:

Just took test on edgen

What are 6 centimeters equal to?
A. 600 meters
B.
1/6 of a millimeter

C. 60 millimeters
D. 600 millimeters

Answers

It's equal to 60 millimeters
C. 60 millimeters is what its equal to

What is one benefit to lifelong physical activity? healthier diet lower risk of stroke organized daily schedule lower chance of injury

Answers

Lower risk of stroke should be the answer

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

Answers

If a number is not divisible by 6, then it is not divisible by 3. That is your answer.
Hope this helps
If a number is divisible by 6, then it is divisible by 3. Like 6x3=12
6 divided by  is 2
Hope this helped!!!!!

if b is between a and c then ab+bc=ac

Answers

That's false. Take the numbers 1, 3, and 5.
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)

Rewrite the expression as a polynomial in standard form.

Answers

combine like terms (click on pic)
and then rewrite putting the number with the highest exponent first, the second highest and so on

The expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as -2x³ + 5x² - 16x

How did we get the value?

To rewrite the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) as a polynomial in standard form, we can combine like terms.

First, let's distribute the negative sign in front of the parentheses:

(2x² - x³ - 9x + 1) - x³ - 7x + 3x² - 1

Next, let's group the like terms together:

2x² + 3x² - x³ - x³ - 9x - 7x + 1 - 1

Now, let's combine the terms:

(2x² + 3x²) + (-x³ - x³) + (-9x - 7x) + (1 - 1)

5x² - 2x³ - 16x + 0

Finally, the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as:

-2x³ + 5x² - 16x

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How to find the length of a line in a right triangle with 1 angle and the hypotenuse?

Answers

There is need to multiply length of hypotenuse into one of the trigonometry function where angle is an argument.
The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length, substitute the known values into the Pythagorean Theorem.

This is what I learnt..

Hope this helps :))

Find the slope of the line through the points (x1, y1) and (x2,y2)

Answers

The formula to find the slope of a line is:

y2 - y1
______ =m
x2 - x1

Plug the numbers into the equation and solve. 

Answer:

y2-y1/x2-x1

Step-by-step explanation:

10 POINTS FOR SIMPLE QUESTIONS!

What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46?
12.5, 15.5, 16.5, 18.5

How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero, One, Two, Infinitely many

What is the value of z in the equation 4(2z + 3) = 12?
−13, 12, 0, 12

What is the solution to the following equation?
5(2x − 6) + 20 = 10
9, 5, 3, 2The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:

Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13

Which of these is most likely the next step?
3x = 16, 3x = 10, 3x = 39, 3x = 3

Answers

1 - z = 37/2 (Or 18 1/2)
2 - One
3 - z = 0
4 - x = 2
5 - Here are the steps to solve:
Step 1: Simplify both sides of the equation.
Step 2: Add 3 to both sides.
Step 3: Divide both sides by 3.

Hope this helps! :>

What is the product (6r-1)(-8r-3)

Answers

(6r - 1)(-8r - 3)
= -48r^2 - 18r + 8r + 3
= -48r^2 - 10r + 3
I hope this helps.
-48r^2 -18r + 8r + 3
-48r^2 -10r +3

What is the number in scientific notation? 409,200,000,000

Answers

4.092 x 10 to the 11th power
409,200,000,000 = 4.092 x 10^11

What is the name of this angle?



A.
acute

B.
right

C.
obtuse

D.
straight

Answers

An acute angle, because it is less than a right angle (90 degrees) and more than 0 degrees.

An obtuse angle is more than 90 degrees and less than 180 degrees, a right angle is strictly 90 degrees and a straight angle is 180 degrees.
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