using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)?
whats (f of g)(5)?​

Answers

Answer 1

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722


Related Questions

In a survey of 3,500 people who owned a certain type of​ car,1,925 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer: percent of the people surveyed that were satisfied with the​ car= 55%

Step-by-step explanation:

Step 1

Total Number of people in the survey who owned certain type of car = 3,500

Number of people that would buy that type of car again = people surveyed that were satisfied with the​ car= 1,925

Step 2

Percentage of people satisfied with the  car=  people surveyed that were satisfied with the​ car/Total Number of people in the survey who owned certain type of car  x 100

=1925 / 3500 x 100

=0.55 x 100

=55%

Tim’s age is nine more than his sister, Jill. Twice his age added to twice Jill’s age is 330.

Answers

Answer:

jill age is 78 and tim's age is 87

Step-by-step explanation:

let jill age be x then, tim's age is 9+x

by the question,

2(9+x) + 2x = 330

or,18 + 2x + 2x = 330

or,4x = 330-18

or, x = 312÷4

x = 78

9+x= 9+78=87

PLEASE ANSWER!!!!!! PLEASE!!


With which part of the United States was Daniel Shays most closely associated?

Answers

Answer:

Massachusettes

have a good day

anyone know the answer to this

Answers

Answer:

s = 2

Step-by-step explanation:

6 x 2 = 12

12 - 4 = 8

S=2 hope this helps! :)))

Calculate the length of the thirst side.

Answers

Answer:

21

Step-by-step explanation:

Assuming this is a right triangle, we can use Pythagorean Theorem to find the third side. We'll represent the missing side with the variable x.

x² + 20² = 29²

x² + 400 = 841

x² = 441

x = 21

Therefore, the length of the third side is 21.

find the slope of the line created from the points on the table. A. 1/7 B. -7 C. 2/3 D. - 3
Table:
x y
2 14
3 7
4 0
5 -7

Answers

Answer:

B. -7

Step-by-step explanation:

Formula to find slope is (y2-y1) / (x2-x1)

Here we have 4 points to choose from, but we only need 2. I will use the first 2 points.

The y2 is 7, the y1 is 14, the x2 is 3, the x1 is 2.

Substitute these numbers into the formula.

(7-14) / (3-2)

^ This is basically -7/1, or -7.

Resuelve por el perímetro.
5 cm
8 cm

Answers

Answer:

5cm

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5 cm would be there answer

Which model represents the product 3/4 x 1/3

Answers

Answer:

The first one

Step-by-step explanation:

Please help, this is called Writing Equations

Answers

D. 0.50w + 17 = 53.50

Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles

Answers

It took her 6 days. 2 and 2/3 times 6 equals 16

Answer:

6 days

Step-by-step explanation:

Can you tell me the definition of the highlighted word please in your own words (Thank you)

Answers

Answer:

congruent means similar

Step-by-step explanation:

why didnt you just search it up? lol

congruent means that they are perfectly identical.

7.

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 34 m; hypotenuse: 37 m


A. 14.6 m

B. 50.2 m

C. 8.9 m

D. 19.9 m

Answers

Answer:

The answer is 50.2 m

Step-by-step explanation:

Given a=34 and b=37,

c = 50.24938

∠α = 42.58° = 42°34'50" = 0.74317 rad

∠β = 47.42° = 47°25'10" = 0.82763 rad

h = 25.03514

area = 629

perimeter = 121.24938

inradius = 10.37531

circumradius = 25.12469

Somebody help me plz

Answers

Answer:

[tex]f(-1)=0[/tex]

Step-by-step explanation:

[tex]f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0[/tex]

plz help timed MATHHHH 12 pointes

Answers

Answer:

Ok what you need help with. Were u going to post a picture?

Step-by-step explanation:

I'll help you.

please help and show work ​

Answers

Answer:

The second one is rectangle.

It is because it have the following properties;

1) Opposite side are equal.

2) Opposite angles are equal.

3) Diagonals bisect each other.

4) Diagonals are equal.

5) Each angle is a right angle (90).

I hope this will help you

is 315/8 rational or irrational

Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

Find the volume of the figure. Round to the nearest hundredth if needed.

Answers

Answer:

235.62 cubed yards

Step-by-step explanation:

Area of a cylinder = pi(r^2)*h

pi(5^2)*3 = 235.62

Please help me with Math and show how you got the answer.

Answers

Answer:

Step-by-step explanation:

2.5:3.5 = 1:1.4

1 3/4 : 2 11/12 = 1:5/3

5/3 > 1.4 so megan gets more cookies

so kaitlyn uses more

In ΔOPQ, o = 4.4 inches, p = 9.6 inches and ∠Q=89°. Find the length of q, to the nearest 10th of an inch.

Answers

Answer: 10.49026 = 10.5

Step-by-step explanation:

The length of the side q of the triangle OPQ is 10.5 inches.

What is cosine law?

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,

So, using cosine law for triangles,

q² = p²+o²-2poCos(89°)

= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)

= 10.5

Hence, the length of the side q of the triangle OPQ is 10.5 inches.

Learn more about cosine law, click;

https://brainly.com/question/17289163

#SPJ2

?? anyone know thank you❤️

Answers

Answer: 9/8

Step-by-step explanation:

you turn 1/2 into 4/8 and add that to 5/8 to get 9/8

Draw a line representing the rise and a line representing the run of the line state the slope of the line in simplest form

Answers

Start at -7 then go up to -6 then just go right 1

PLEASE ANSWER

What is a ratio?

Answers

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The quantitative and relatable relation between two amounts of goods or numbers shows the number of times one value contains or is contained within the other or one number/value with respect to the other number/value.

It is basically the relationship between two similar magnitudes with respect to the number of times the first contains the second.

Lets us understand this with the help of an example that the ratio of x to y can be written as

x: y x / y

Example: the ratio of 1 to 2, written 1:2 or 1/2.

Know more about Ratio: https://brainly.com/question/12024093

8/10 = w/15 what does w stand for

Answers

Answer:

Step-by-step explanation:

its just an unknown variable usually it is one

The answer is 12 is w

A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function

h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?

Answers

Answer:

At time t=0.5, the stone reaches a maximum height of h= 35.

Step-by-step explanation:

A quadratic function or function of the second degree is a polynomial function defined by:

f(x)=a*x² + b*x +c

The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values ​​of a function.

The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

h represents the value of its abscissa (value of x).

k represents the value of its ordinate (value of f (x)).

The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]

The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c

In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:

[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]

Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:

f(0.5)=-16*0.5² + 16*0.5 +32

f(0.5)= 35

At time t=0.5, the stone reaches a maximum height of h= 35.

A pair of jeans is on sale for 25% off the original price. The sale price is $78. What is the original price?

Answers

Answer:

58.5 is your answer

Step-by-step explanation:

Please help and also explain how you got the answer if you can

Answers

The answer is A and D

In answer choice A the fractions are 3/6 and 4/6. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 3/6 because 1x3=3 and 2x3=6, therefore 3/6 is equivalent. The equivalent fraction to 2/3 is 4/6 because 2x2=4 and 3x3=6, therefore 4/6 is equivalent.


In answer choice D the fractions are 9/18 and 12/18. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 9/18 because 1x9=9 and 2x9=18, therefore 9/18 is equivalent. The equivalent fraction to 2/3 is 12/18 because 2x6=12 and 3x6=18, therefore 12/18 is equivalent.

Hope this helps :D

Which One Doesn't Belong?
6(4 + 3)
418 + 14)
3(8 + 6)
18 + 24

Answers

418+14

The other ones all add up to 42

Hope this helps!
It should be the second choice

Helppppp!!! Please I need it now

Answers

Answer:

(6,9)

Step-by-step explanation:

if s.p.=rs210,profit percent =8%c.p.=rsx and find cp​

Answers

is this an actual question?

In a largo container of balls, there are at least 5 red balls for
overy yollow ball. If there are 47 yellow balls in the container,
which of the following inequalities represents the number of red
balls, r?

Answers

Balls r? What? I don’t understand
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