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3 years ago

F(x) = 2x + 5

Mathematics

1 answer:

Finger [1]3 years ago

4 0

9514 1404 393

Answer:

15. f(x) +g(x) = 7x +2

16. f(x) -g(x) = -3x +8

17. h(x) · g(x) = 35x -21

Step-by-step explanation:

Substitute the function definition for each function expression and simplify.

15. f(x) + g(x) = (2x +5) +(5x -3)

f(x) +g(x) = 7x +2

16. f(x) - g(x) = (2x +5) -(5x -3)

f(x) -g(x) = -3x +8

17. h(x) · g(x) = (7) · (5x -3)

h(x) · g(x) = 35x -21

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Data was collected on the number of pets and the height of a random group of students. Identify the correlation you would expect

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No correlation
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago

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3 years ago

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The distance around a neighborhood is 6 miles. When Sam clocked it with a odometer the distance was 5.52 miles.

rewona [7]

Answer:

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Step-by-step explanation:

6-5.52

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3 years ago

amid [387]

The correlation based on the computation is 0.97.

<h3>How to compute the value?</h3>

It should be noted that the question is that we should simply calculate the correlation which is r.

The correlation will be:

= Σ(x y) / (Σ(x²) × Σ(y²)

= 9627/✓(1118 × 87982)

= 9627 ✓98363876

= 9627/9917.86

= 0.97

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

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2 years ago