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nasty-shy [4]
4 years ago
14

Which of the following coordinates is a solution to the linear equation?

Mathematics
1 answer:
Dima020 [189]4 years ago
7 0
Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points

Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points

Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.

Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.

Therefore the only coordinates that satisfies the equation is (3,-2)
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Simplify the exponential problem<br> 7b^5/b^4
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Solution:

If the <u>numerator</u> and the <u>denominator</u> have like bases in exponents, then the <u>exponents</u> subtract.

  • \frac{7b^5}{b^4} = 7b^5^{-4}
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Thus, 7b is the simplified expression.

5 0
3 years ago
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What's the y intercept and slope?
jeyben [28]

Answer:

The slope is 4

The y-intercept is 3 OR (0, 3)

Step-by-step explanation:

Points on the graph: ( -1, -1) and (0,3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+1)/(0+1)

m=4/1

m = 4

Point slope-intercept:

y - y1 = m(x - x1)

y + 1 = 4(x + 1)

y + 1 = 4x + 4

y = 4x + 3

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3 years ago
The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
WITCHER [35]

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

3x + 110 = 350

Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

x + 40 would become 80 + 40, and add up to 120.

To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

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3 years ago
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The profit earned by selling a quantity of x + 2 of a product is given by the expression x4 − x3 − 24. What is the average profi
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the profit is a polynomial function :
p(x) = x^4 − x^3 − 24
the average profit per unit of product sold is :
ap(x) = (x^4 − x^3 − 24)/(x+2)

now,
(-2) is an "obvious" zero of p(x)
therefore : p(x) is dividable by (x+2)
and
the long division of p(x) by (x+2) gives :

Answer:
ap(x) = x^3 - 3x^2 + 6x - 12
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