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DIA [1.3K]
3 years ago
15

Write a linear function F with the values F(-9)=8 and F (0) =1

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Given:

The values of a linear function are F(-9)=8 and F(0)=1.

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The values of a linear function are F(-9)=8 and F(0)=1. It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

y-8=\dfrac{1-8}{0-(-9)}(x-(-9))

y-8=\dfrac{-7}{9}(x+9)

y-8=\dfrac{-7}{9}(x)+\dfrac{-7}{9}(9)

y-8=\dfrac{-7}{9}x-7

Adding 8 on both sides, we get

y-8+8=\dfrac{-7}{9}x-7+8

y=\dfrac{-7}{9}x+1

Putting y=F(x), we get

F(x)=\dfrac{-7}{9}x+1

Therefore, the required linear function is F(x)=\dfrac{-7}{9}x+1.

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The value would be 829.89.

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We will use 800 for p; 5.25/100 = 0.0525 for r; 365 for n; and (255/365) for t (since it is not a full year):
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3 years ago
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Xelga [282]
Are you sure you wrote it right because it should be -42.99

Show me a picture of the equation
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Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
HACTEHA [7]

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
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5x + 2 = 5y
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The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
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Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
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Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
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Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

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1 year ago
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Answer:

1 :)

Step-by-step explanation:

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Given the diagram below what is tan 60?
Contact [7]

Answer:

A) √3

Step-by-step explanation:

The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.

So, we have to find them.

The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.

That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.

Dividing those two gives us (2√3)/2, which can be simplified to √3.

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