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3 years ago

Find the linear function with the following properties. f(0)=−9 Slope of f=−8

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

f(0) = -9
Slope of f = -8

Linear function

<h3>Solution</h3>

<u>Slope-intercept formula</u>

f(x) = mx + b
f(0) = -9 means y-intercept b = -9, and the slope is m = - 8

<u>So the function is</u>

f(x) = -8x - 9

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The short-Run Macroeconomic Model is very similar to the standard model for markets. In what ways are these two models different

Semmy [17]

Answer: Option (c) is correct

Step-by-step explanation:

Slope of demand curve is negative and slope of supply curve is positive in both the models.

But labeling of axis is different in both the models. In the short-run macroeconomic model, y-axis represents the price level whereas x-axis represents the GDP.

While in the standard model for markets, y-axis shows the general price level whereas x-axis represents the output level.

4 0

3 years ago

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p

Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

$\mu = 61$

$\sigma = 3.5$

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{62-61}{3.5}$

$Z=0.285$

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0

3 years ago

Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.

Anna71 [15]

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

$x = \frac{32}{2}$

x = 16°

The value of x is 16°

6 0

3 years ago

Please help me with my work

Alexxandr [17]

Answer:

1) -1/4

2) -1/2

3) 1/3

Step-by-step explanation:

perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign

parallel lines have the same slope

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2 years ago

What is the value of the expression below?

lozanna [386]

Answer:

25x10^18/4 or 6.25x10^18

Step-by-step explanation:

2.5x10^33x5x10^-15/2

12.5x10^18/2

6 0

2 years ago