Functions can be modeled by equations, tables and graphs
- The equation that models the function is
- The domain of the function is the set of whole numbers
- The company should expect 4 box office gross in week 10
<h3>How to determine the function</h3>
From the question, we have the following ordered pairs
(x,y) = (0,1) and (4,2)
The function is a linear function.
So, we start by calculating the slope (m) using:
Substitute known values
The equation is then calculated as:
This gives
The domain of the above function is the set of whole numbers
Substitute 10 for x, to calculate the number of box office gross for week 10
Approximate
Hence, the company should expect 4 box office gross in week 10
Read more about linear functions at:
brainly.com/question/15602982
Hello!
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Add the two trips together for total Km’s:
4500 + 11700 = 16,200 km.
divide total km by speed:
16,200 / 1,100 = 14.727272 hours
0.727272 x 60 minutes per hour = 43.636363 minutes, round up to 44 minutes
total time: 14 hours and 44 minutes
Answer:
Step-by-step explanation:
f(x)=4x+1
g(x) = x^2-5
(f*g)(x) = 4x^3+x^2-20x-5
You can’t solve this, not enough information
