Question

Find the output of the function y=−3x−7
𝑦
=
−
3
𝑥
−
7
when the input is −5
−
5
. (1 point)
The correct output is .
Check answer

Answer 1

Find the value of the function y=3x2−21
𝑦
=
3
𝑥
2
−
21
when x=4
𝑥
=
4
.(1 point)
y=
𝑦
=
. paint

Answer 2

Determine if the function y=x5−13
𝑦
=
𝑥
5
−
13
, x≠0
𝑥
≠
0
, is a linear or nonlinear function. Enter 1 if the function is linear. Enter 2 if the function is nonlinear.(1 point)

Answer 3

The answers
1) 8
2) 27
3) 1
4) 2
5) 2

Answer 4

To find the output of the function \( y = -3x - 7 \) when the input is \( x = -5 \), we can plug in \(-5\) for \(x\):

\[
y = -3(-5) - 7
\]

Now, calculate it step-by-step:

1. Calculate \(-3 \times -5\):
\[
-3 \times -5 = 15
\]

2. Now subtract \(7\) from \(15\):
\[
15 - 7 = 8
\]

Therefore, the output is:

\[
\boxed{8}
\]

Answer 5

To find the value of the function \( y = 3x^2 - 21 \) when \( x = 4 \), we can substitute \( 4 \) for \( x \):

\[
y = 3(4)^2 - 21
\]

Now, calculate it step-by-step:

1. Calculate \( (4)^2 \):
\[
(4)^2 = 16
\]

2. Multiply by \( 3 \):
\[
3 \times 16 = 48
\]

3. Now subtract \( 21 \):
\[
48 - 21 = 27
\]

Therefore, the value of the function when \( x = 4 \) is:

\[
y = \boxed{27}
\]

Answer 6

To determine if the function \( y = x^5 - 13 \) is linear or nonlinear, we can look at the form of the function.

A linear function can be written in the form \( y = mx + b \), where \( m \) and \( b \) are constants. Linear functions have a constant rate of change and their graph is a straight line.

In the given function, \( y = x^5 - 13 \), the presence of \( x^5 \) indicates that this function involves a variable raised to a power greater than 1. This is characteristic of a nonlinear function.

Therefore, the function \( y = x^5 - 13 \) is nonlinear.

So, you should enter:

\[
\boxed{2}
\]

Answer 7

It looks like you’ve compiled a list of answers based on your previous questions and tasks. Here’s a recap of what those answers correspond to:

1. For the function \( y = -3x - 7 \) when \( x = -5 \): The answer is **8**.
2. For the function \( y = 3x^2 - 21 \) when \( x = 4 \): The answer is **27**.
3. For the function \( y = x^5 - 13 \) being linear or nonlinear (you determined it to be linear): The answer indicated is **1**, but this function is actually nonlinear, so the correct answer should be **2**.
4. You confirmed that the function \( y = x^5 - 13 \) is nonlinear: The answer is **2**.
5. Again confirming the nonlinear nature of the function \( y = x^5 - 13 \): The answer is **2**.

If you have any further questions or need additional clarification, feel free to ask!