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scoundrel [369]
3 years ago
13

#1 Find the slope given the points (3,-20) and (5,8) *

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Hey there :)

To find the slope with <em>two points</em> we will need to use the equation  \frac{y^2-y^1}{x^2-x^1}

x^1    x^2       y^1  y^2

( 3 , -20 )  ( 5 , 8 )

Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

                                     \frac{8 - (-20)}{5 - 3}

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.

Solve the fraction and we get   \frac{28}{2}

28 <em>divided</em> by 2 is 14. The slope is 14.

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The United States Census Bureau uses demographic information to set a poverty threshold that is used in to determine how many Am
Svetlanka [38]

Answer:

Increment in property per year ;

Slope of a linear function

Kindly check explanation for the rest of the answers.

Step-by-step explanation:

The rate of change is the increment in property value per year ; $220

Thsi corresponds to the gradient or slope of a linear function

If 1980 = x and x = 0

Recall :

y = bx + c

Where, b = slope = 220

x = year

y = property threshold

c = intercept value

In 1980, x = 0

y - intercept.

Put x = 0 into the equation :

4190 = 220x + c

4190 = 220(0) + c

4190 = c

3.)

The linear function becomes :

y = 220x + 4190

Property threshold in 2010:

x = 2010 - 1980 = 30

y = 220(30) + 4190

y = 6600 + 4190

y = 10,790

Property threshold in 2010

Year it will exceed 15000

15000 = 220x + 4190

15000 - 4190 = 220x

10810 = 220x

x = 10810 / 220

x = 49.136

That is, property threshold will exceed 15000 after 50 years

1980 + 50 = 2030

Year 2030

7 0
3 years ago
How do i solve 2x^2+5x+2=9
earnstyle [38]
2x² + 5x + 2 = 9
2x² + 5x + 2 - 9 = 9 - 9
2x² + 5x - 7 = 0
x = <u>-5 +/- √(5² - 4(2)(-7))</u>
                    2(2)
x = <u>-5 +/- √(25 + 56)</u>
                   4
x = <u>-5 +/- √(81)
</u>               4<u>
</u>x = <u>-5 +/- 9
</u>            4
x = <u>-5 + 9</u>      x = <u>-5 - 9</u>
           4                   4
x = <u>4</u>              x = <u>-14</u>
      4                      4
x = 1              x = -3.5
<u />
4 0
3 years ago
Read 2 more answers
Why does -2 to the power of 3 produce the same answer as (-2) to the power of 3
tekilochka [14]

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

3 0
3 years ago
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Please help me i will give brainliest
Vedmedyk [2.9K]
Its either a or c but im not sure plz make sure to hit the thank u button
5 0
3 years ago
Anna adds (8x + 12y) and (ax − 6y). If the correct answer is 5x + 6y, what is the value of a?
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The answer is -3, Choice 1 because you only need to care about the x values, so what do you add/subtract from 8 you get 5? So the answer is -3 
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3 years ago
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