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Vitek1552 [10]
4 years ago
11

Write an equation of the line that passes through

Mathematics
1 answer:
Westkost [7]4 years ago
7 0

Answer:

The answer is

<h2>y = - 8x + 8</h2>

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

y - y _{1} = m(x - x _1)

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

y - 4 =  - 8(x -  \frac{1}{2} ) \\ y - 4 =  - 8x + 4 \\ y =  - 8x + 4 + 4

We have the final answer as

<h3>y = - 8x + 8</h3>

Hope this helps you

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Find (f-g)(x). What is the domain of f/g<br> f(x)=2x-5 g(x)=2-x
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Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d
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The total purchase price is $ 357.75

<em><u>Solution:</u></em>

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

<em><u>She receives a 25% discount for being a preferred customer</u></em>

Therefore, discount = 25 % of cost price

discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

<em><u>Then pays 6% sales tax on the discounted purchase price</u></em>

Sales tax = 6 % of 337.5

sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25

<em><u>Thus, total purchase price is given as:</u></em>

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

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3 years ago
A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its
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Answer:

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Step-by-step explanation:

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length = 2w+5

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Write result in standard notation
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Answer:

7.5 * 10 ^- 4

Step-by-step explanation:

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