hen the input is x=0.3

Question

, which of the following is the output of the function y=3x+6
?(1 point)
Responses

6.9
6.9

9
9

6.3
6.3

0.3

Answer 1

To find the output of the function \( y = 3x + 6 \) when \( x = 0.3 \), substitute \( 0.3 \) for \( x \):

\[ y = 3(0.3) + 6 \] \[ y = 0.9 + 6 \] \[ y = 6.9 \]

So, the output of the function is \( 6.9 \).

Answer 2

What is the value of the function y=18x−13
when x=−4
?(1 point)
Responses

−12.5
negative 12.5

−16
negative 16

−15
negative 15

−13.5

Answer 3

To find the value of the function \( y = 18x - 13 \) when \( x = -4 \), substitute \(-4\) for \( x \):

\[ y = 18(-4) - 13 \] \[ y = -72 - 13 \] \[ y = -85 \]

It appears none of the response options given (-12.5, -16, -15, -13.5) correspond to the correct calculation of \( -85 \). Could you please check if the problem was stated correctly or if there were other options?

Answer 4

What is the value of the function y=1/8x−13
when x=−4
?(1 point)
Responses

−12.5
negative 12.5

−16
negative 16

−15
negative 15

−13.5

Answer 5

To find the value of the function \( y = \frac{1}{8}x - 13 \) when \( x = -4 \), substitute \(-4\) for \( x \):

\[ y = \frac{1}{8}(-4) - 13 \]

Calculating \(\frac{1}{8}(-4)\):

\[ \frac{-4}{8} = -0.5 \]

Now substitute this back into the equation:

\[ y = -0.5 - 13 \]

Now, simplify:

\[ y = -0.5 - 13 = -13.5 \]

So, the value of the function when \( x = -4 \) is \( -13.5 \).

Answer 6

Which of the following is an ordered pair of the relation y=−23x+6
?(1 point)
Responses

(3,8)
left parenthesis 3 comma 8 right parenthesis

(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis

(1,4)
left parenthesis 1 comma 4 right parenthesis

(3,4)

Answer 7

To determine which of the given pairs is an ordered pair of the relation \( y = -23x + 6 \), we will substitute the \( x \)-value from each ordered pair into the equation and see if it gives the corresponding \( y \)-value.

1. For (3, 8): \[ y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not 8)} \]

2. For (0, -23): \[ y = -23(0) + 6 = 0 + 6 = 6 \quad \text{(not -23)} \]

3. For (1, 4): \[ y = -23(1) + 6 = -23 + 6 = -17 \quad \text{(not 4)} \]

4. For (3, 4): \[ y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not 4)} \]

None of the provided pairs satisfy the equation \( y = -23x + 6 \). Therefore, none of the options are ordered pairs of the relation specified.

If there are any further options or additional context to the problem, please provide them so I can assist you further!

Answer 8

Which of the following gives an example of a function that is not linear?(1 point)
Responses

y=x2−3x+2.25
y equals x squared minus 3 x plus 2.25

9x+3y−18=0
9 x plus 3 y minus 18 equals 0

y=16x+23
y equals Start Fraction 1 over 6 End Fraction x plus Start Fraction 2 over 3 End Fraction

2x+3y=16

Answer 9

To determine which of the given equations does not represent a linear function, let's briefly review the options:

1. \( y = x^2 - 3x + 2.25 \):

   • This is a quadratic function because it contains an \( x^2 \) term. Quadratic functions are not linear.

2. \( 9x + 3y - 18 = 0 \):

   • This can be rearranged into the form \( y = mx + b \) (linear form). Specifically, solving for \( y \): \[ 3y = -9x + 18 \quad \Rightarrow \quad y = -3x + 6 \]
   • This is a linear function.

3. \( y = 16x + 23 \):

   • This is already in the standard linear form \( y = mx + b \). It is a linear function.

4. \( 2x + 3y = 16 \):

   • This can also be rearranged into linear form: \[ 3y = -2x + 16 \quad \Rightarrow \quad y = -\frac{2}{3}x + \frac{16}{3} \]
   • This is a linear function.

Based on the analysis above, the function that is not linear is:

\( y = x^2 - 3x + 2.25 \).