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kobusy [5.1K]
3 years ago
7

Which is the slope of a line through the points (-1, 2) and (5, 8)?

Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (5, 8 )

m = \frac{8-2}{5+1} = \frac{6}{6} = 1 → A

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Solve the system by substitution<br> -x - y - z= -8<br> -4x + 4y + 5z = 7<br> 2x + 2z = 4
Stella [2.4K]

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

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-(2-z)-y-z= -8         replace x

-2+z-y-z= -8          (cancel z)

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6 = y

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16 + 9z = 7

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z = -9/9

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Answer:

The answer to number 1 is c the answer to number 2 is c

Step-by-step explanation:

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
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Answer:

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Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

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<em>x</em> = 27000 − 20250

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Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

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Step-by-step explanation:

take

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