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Rainbow [258]
3 years ago
5

Y varies directly with the square x. If y= 27 when x = 3, find y when x = -4

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

y~x²

y/x²= k

27/3²=3

therefore k= 3

y/ -4 = k

y / -4= 3

3y = -4

y = -4

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Step-by-step explanation:

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w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
4 years ago
At a school, 1 out of every 3 girls who tried out for basketball made the
nikdorinn [45]

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8 0
3 years ago
Streak
Monica [59]

Answer: Not 100% sure but this is what I think.

-4/5

Step-by-step explanation:

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-1 + 9 / 5 - 15 = 8/-10 = -8/10 = -4/5

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2 years ago
If f (1)= -2, then the point is on the graph of f
Komok [63]
<h3>Answer:  (1, -2)</h3>

Explanation:

Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together

So we have (x,y) = (1, -2) as the point on the f(x) curve.

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3 years ago
A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?
scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

  • Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

  • Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
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⇒ y = 4x + 5

5 0
3 years ago
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