1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
2 years ago
12

Consider these functions

Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0
<h3>Answer:  D) 31</h3>

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

You might be interested in
The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it
kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0
2 years ago
What is 91/22 in decimal?
Lemur [1.5K]
<span>4.13 (continues) is the answer</span>
5 0
3 years ago
Which of the following is the solution to 9|x +4|&gt;54 ?
horsena [70]

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

4 0
3 years ago
Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is
antiseptic1488 [7]

Answer:

2,583,283 cubic metres (91,227,778 cu ft)

Step-by-step explanation:

3 0
3 years ago
Gor is running a bakery. He has made a street sign to direct people to his
lys-0071 [83]

Answer:

B.

Step-by-step explanation:

The street sign is composed of two rectangles and 1 triangle.

Painted area = area of triangle + area of rectangle 1 + area of square

✔️Area of triangle = ½bh

b = 15 in.

h = 8 in.

Area of triangle = ½*15*8 = 60 in.²

✔️Area of rectangle 1 = L*W

L = 50 in.

W = 6 in.

Area = 50*6 = 300 in.²

✔️Area of Square = s²

s = 15 in.

Area = 15² = 255 in.²

✅Painted area = 60 + 300 + 225 = 585 in.²

7 0
2 years ago
Other questions:
  • Seventy percent of light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircra
    12·1 answer
  • WILL GIVE BRAINEST <br>find f(-2) for f(x)=2×3^x<br>a.-18<br>b.1/18<br>c.-36<br>d.2/9
    12·2 answers
  • Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His co
    8·1 answer
  • Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12
    6·1 answer
  • Please help me with this function. No one has been giving me correct answers!
    5·1 answer
  • Help me pls pls pls
    13·1 answer
  • Please someone help me quickly
    7·1 answer
  • Helpppppp plsssssssssss
    15·2 answers
  • Based only on the information given in the diagram, it is guaranteed that
    15·1 answer
  • Which number is a solution of the inequality 8 - 1/4 b &gt; 27
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!