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miskamm [114]
3 years ago
12

F(x)=2/5x+k f(-15) = 12 What is the value of k?

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

k = 18

Step-by-step explanation:

Given

f(x) = \frac{2}{5} x + k

f(- 15) = 12 , then

\frac{2}{5} × - 15 + k = 12 , that is

- 6 + k = 12 ( add 6 to both sides )

k = 18

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Answer:

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(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

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Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

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3 years ago
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Step-by-step explanation:

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3 years ago
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To be pefectly honest, your question really doesn't make sense.
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