Mathematics College

Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)

Answers

Answer 1

Answer:

(g ￮ f)(-2) = 32

Step-by-step explanation:

Given

[tex]f(x)=5x+4[/tex]

[tex]g\left(x\right)=x^2-4[/tex]

We have to evaluate (g ￮ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

[tex]f(x)=5x+4[/tex]

[tex]f(-2) = 5(-2)+4[/tex]

[tex]= -10 + 4[/tex]

[tex]= -6[/tex]

Then

[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]

[tex]=36-4[/tex]

[tex]= 32[/tex]

Therefore,

(g ￮ f)(-2) = 32

Related Questions

How do I find y to solve for the vertex? (Transformations, Quadratic functions)
I know how to solve for the x but I'm confused on solving for the Y. Thank you!

Answers

Answer:

the other answer is zero.

Step-by-step explanation:

Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.

[tex]a=8\\\\h=21\\\\k=0[/tex]

Select all that apply.

Which of the following are proportions?

25/10 = 5/2

3/4 = 8/10

2/8 = 3/12

3/4 = 15/20

Answers

Answer:

Step-by-step explanation:

3/4=15/20 are proportions

For every 3 you get a 4

So 5*3= 15 and 5*4=20

25/10 = 5//2 is another one.

Answer:

25/10 = 5/2

3/4 =15/20

Step-by-step explanation:

PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

50%

Step-by-step explanation:

3500 divided by 1750 is 2 which is equal to 50%

Ariana drove her car 260 miles in 8 hours. Write this rate as a reduced fraction.

Answers

2/65 or 65/2 should be correct

which expression is equivalent to mn+z

Answers

D is the answer....see the attachment

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?

Answers

Answer:

c = 3b

Step-by-step explanation:

9 cakes proportional to 3 bags of flower

cake = k(bag)

c = kb

9 = k(3)

k = 3

c = 3b

you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.

please mark brainliest if you like the answer

Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115

Answers

i THINK it’s D cuz the other side would also be 65 and it’s a 180 line in total

The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65° (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

brainly.com/question/28380652.

#SPJ7

4,8and 12 find the LCM of each numbers

Answers

Answer:The LCM of 4, 8 and 12 is 24.

Step-by-step explanation:

I need help help me please

Answers

Answer:

The answer is line A

Step-by-step explanation:

It is Because try putting 0 in th eeqaution you will get 1 on LHS

Answer:

Line A

Step-by-step explanation:

The given function can also be seen as the equation of the line in slope-intercept form:

[tex]y=mx+b[/tex]

Where:

m is the slopeb is the y-interceptx and y are corresponding coordinate points that lie on the line (x,y)

Since all the lines are parallel, they all have the same slope. All we need to do is find the one that has a y-intercept of 1. The y-intercept is where x=0.

Line A: [tex]b=1[/tex]

Line B: [tex]b=0[/tex]

Line C: [tex]b=-1[/tex]

Line D: [tex]b=-4[/tex]

The only line with a y-intercept is Line A.

:Done

solve for z
4/z =
12/5
what is z

Answers

Answer:

5/3 = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4 12

__ = ______

z 5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

5 = 3z

You can divide again

by dividing both sides

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

__ = z

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

Simplify the expression below: (3−13)2+1442−5·2

Answers

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

Pls help it is due today!!!!!

Answers

Answer:

BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE

Answer:

Step-by-step explanation:

How many numbers can be squared to get a value of 0?

Answers

Maybe zero? Not sure

Answer:

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109

B. c+a=109
c=a+15

C. c+a=109
a=c+15

D. c-a=15
c=a+109

Answers

Answer:

Step-by-step explanation:

The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?

Answers

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

2218388 of the 4031887

Answers

Answer:

Boi what?

Step-by-step explanation:

This is not a proper question. You need to include more information

PLS HELP SOMEBODY I NEED HELP

Answers

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.

Equation:
x=
angle b=

Answers

Answer:

Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

x = 20

Angle B = 30°

Step-by-step explanation:

Given:

<A = 5x + 20

<B = 3x - 30

<C = 2x + 10

<D = 8x

Sum of interior angles of a quadrilateral = 360°

Therefore:

<A + <B + <C + <D = 360°

(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

Solve for x

5x + 20 + 3x - 30 + 2x + 10 + 8x = 360

Collect like terms

5x + 3x + 2x + 8x + 20 - 30 + 10 = 360

18x = 360

Divide both sides by 18

x = 360/18

x = 20

<B = 3x - 30

Plug in the value of x

<B = 3(20) - 30 = 60 - 30

<B = 30°

a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?

Answers

Answer:

=13

Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear

Answers

It is linear because when you graph the points on the graph, they create a straight line. (I included the picture of the graph) let me know if this answers your question :)

Answer:

linear

Step-by-step explanation:

m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.

equation of the function is y = - 4x + 14 ⇒ function is linear

A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?

Answers

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

[tex]100-75=25[/tex]

Learn more about the Quartile here:

https://brainly.com/question/10005803

Find tan θ if sec θ = root 37/6 and sin θ < 0

Answers

hey love, that question has already been answered. Type this into the brainly search bar: Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0

20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.

Answers

Answer:

a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars

Step-by-step explanation:

a) Alun's earn equation is

E=0.05t+34

b) when t=400, then

E=0.05(400)+34

E=20+34

E=54

c) when E=64, then

64=0.05t+34

hence

0.05t=64-34

0.05t=30

[tex]t=\frac{30}{0.05}[/tex]

t=600

(100) POINTS NO JOKE!!!!Which ratios are equivalent to 7

3

? Check all that apply.

(A) 27:21

(B) 28 to 12

(C) 56/ 24

(D) 63 to 27

(E) 9/21

Answers

Answer:

B, C, D

Step-by-step explanation:

If simplified, 28:12 becomes 7:3, as 28 is evenly divisible by 7 and 12 is easily divisible by 3. This applies to 56:24 and 63:27 as well.

For example:

(28:12)/ 4 = 7:3

It’s C B and D, I just answered this one on my test! C:

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Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following. (gof)(-2)

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Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)