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

11 answers

To find the output of the function \( y = -3x - 7 \) when the input \( x \) is \(-5\), we can substitute \(-5\) into the equation:

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

Now, calculate it step-by-step:

  1. Multiply \(-3\) by \(-5\):

\[ -3 \times -5 = 15 \]

  1. Now substitute this back into the equation:

\[ y = 15 - 7 \]

  1. Finally, perform the subtraction:

\[ y = 8 \]

So, the output when the input is \(-5\) is \( \boxed{8} \).

When the input is x=0.3 , which of the following is the output of the function y=3x+6 ?(1 point) Responses 9 9 6.9 6.9 0.3 0.3 6.3

To find the output of the function \( y = 3x + 6 \) when the input \( x \) is \( 0.3 \), we can substitute \( 0.3 \) into the equation:

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

Now, perform the calculations step-by-step:

  1. Multiply \( 3 \) by \( 0.3 \):

\[ 3 \times 0.3 = 0.9 \]

  1. Now, substitute this back into the equation:

\[ y = 0.9 + 6 \]

  1. Finally, perform the addition:

\[ y = 6.9 \]

Therefore, when the input is \( x = 0.3 \), the output of the function \( y = 3x + 6 \) is \( \boxed{6.9} \).

What is the value of the function y=18x−13 when x=−4 ?(1 point) Responses −12.5 negative 12.5 −15 negative 15 −16 negative 16 −13.5

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

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

Now, calculate it step-by-step:

  1. Multiply \( 18 \) by \(-4\):

\[ 18 \times -4 = -72 \]

  1. Substituting this back into the equation, we have:

\[ y = -72 - 13 \]

  1. Finally, perform the subtraction:

\[ y = -72 - 13 = -85 \]

So the value of the function when \( x = -4 \) is \( -85 \). However, this answer does not appear in the options you provided.

Based on your provided options, please double-check as they do not align with the computed value of \(-85\). Would you like me to assist you further with the calculations or the options?

just pick the answer that's at least closest to the correct answer

Given the options you provided:

  • \( -12.5 \)
  • \( -15 \)
  • \( -16 \)
  • \( -13.5 \)

The correct calculated value of the function is \( -85 \), which is much lower than any of these options.

However, since none of the options is remotely close to \(-85\), if you absolutely need to pick one, I would suggest choosing \( -16 \) as the least incorrect one compared to the others.

So the closest option is \( \boxed{-16} \).

Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point) Responses (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) left parenthesis 3 comma 4 right parenthesis (3,8)

To determine which of the given options is an ordered pair for the relation \( y = -23x + 6 \), we need to evaluate the \( y \)-value for each corresponding \( x \)-value in the options provided.

  1. For \( x = 0 \): \[ y = -23(0) + 6 = 6 \] This gives the ordered pair \( (0, 6) \), not \( (0, -23) \).

  2. For \( x = 1 \): \[ y = -23(1) + 6 = -23 + 6 = -17 \] This gives the ordered pair \( (1, -17) \), not \( (1, 4) \).

  3. For \( x = 3 \): \[ y = -23(3) + 6 = -69 + 6 = -63 \] This gives the ordered pair \( (3, -63) \), not \( (3, 4) \) or \( (3, 8) \).

Now let's check the last pair:

  1. For \( x = 3 \), what would y need to equal for \( (3, 8) \): \[ y = -23(3) + 6 = -63 \text{ and we need } y = 8 \text{, which does not equal } -63. \]

None of the provided responses are correct under the relation \( y = -23x + 6 \). However, if we consider that the answer choices may contain errors, the only ordered pair that makes sense in context is none of those listed.

Therefore, it's vital to verify the equation against the choice presented. Based on the calculations, none of the options listed are correct for the equation provided, \( y = -23x + 6 \). If you have to select an option, please check for typographical errors in the provided options or alternative questions.

just pick the answer that's at least closest to the correct answer.

Given the context and the options provided, let's summarize the evaluations we did:

  1. For \( x = 0 \): gave \( (0, 6) \)
  2. For \( x = 1 \): gave \( (1, -17) \)
  3. For \( x = 3 \): gave \( (3, -63) \)

Now, evaluating the options:

  • \( (0, -23) \): Incorrect (as we found \( (0, 6) \)).
  • \( (0, -\frac{2}{3}) \): Incorrect (not applicable for the function).
  • \( (1, 4) \): Incorrect (as we found \( (1, -17) \)).
  • \( (3, 4) \): Incorrect (as we found \( (3, -63) \)).
  • \( (3, 8) \): Incorrect (as we found \( (3, -63) \)).

Since none of the options match any calculated outputs, let’s see which is "closest":

The closest value based on \( x = 1 \) might be \( (1, 4) \) since the output for \( x = 1 \) was \( -17 \). The value \( -17 \) is definitely lower than \( 4 \), but it’s the closest value contextually.

Thus, if I have to choose the closest answer, it would be:

Option \( \boxed{(1, 4)} \).