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Inessa [10]
3 years ago
10

Please Help Me With This Math Problem

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

Yes the relationship is linear and given by:

y+2=-\frac{5}{4} \,(x+9) (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

-12-(-7) = -12 +7 = -5

-17 - (-12) = -17 + 12 = -5

We notice that all of them give "-5"

Now we evaluate the difference between consecutive x-values in a similar fashion:

-5 -(-9) = -5+9 = 4

-1-(-5) = -1+5 = 4

3-(-1) = 3+1 = 4

We see that they all give 4 as the difference.

That means that the rate of change \frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)

which is the first expression listed among your possible answer choices.

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Step-by-step explanation:

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3 years ago
Which of the following equations is non-linear?
lakkis [162]

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Step-by-step explanation:

Lets define a linear equation first.

A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.

So,

<u>x + 12 = -8x + 10 - 2y</u>

The equation is a linear equation because the degree of the equation is 1.

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The equation is a linear equation because the degree of the equation is 1.

<u>2x + 6y = 14y - 19x^2 + 12</u>

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Hence,

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Keywords: Linear, quadratic

Learn more about equations at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

#LearnwithBrainly

5 0
3 years ago
If x is a whole number and 437 = (21 + x)(21 - x), then x =
IrinaK [193]
<span>437 = (21 + x)(21 - x), then x = 2, -2</span>
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The function f(x) = 1/2 x + 2 is changed to f(x) = − 1/2 x + 2. Which describes the effect of the change on the graph of the ori
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Answer:

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Step-by-step explanation:

This is because the line was growing starting form the y-int=2.

Now the line is decreasing starting from y-int=2.


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3 years ago
gabriel put 6000 in a 2 year CD paying 4% interest, compounded monthly. After 2 years , he withdrew all his money. what was the
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