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const2013 [10]
3 years ago
8

stephen is making curtains for several windows in his aunt's house. he determines that he needs 8.5 yards of fabric for each win

dow. write an equation to represent the number of yards of fabric needed given a certain number of windows
Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

F(n) = 8.5*n yards, where n is the number of windows

Step-by-step explanation:

Suppose the house of Stephen's aunt has n windows.

Since he needs 8.5 yards of fabric for each window, then he needs 8.5 times n yards of fabric for the n windows.

Call F(n) the yards of fabric he needs for the n windows, then

F(n) = 8.5*n

For example, if auntie's house had 4 windows, then

F(4) = 8.5*4 = 34 yards.

If auntie's house had 6 windows

F(6) = 51 yards.

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Need some help with this one please
Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

  • Choice A is something we'll come back to
  • Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
  • Choice C is false for similar reasons as choice B. The slope should be negative.
  • Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0
3 years ago
Find the factors of 200m2 - 800n2.
leonid [27]

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

8 0
3 years ago
Please help me with this
Gnoma [55]

Given:

The equation is:

3^x\times 9=3^{2n-1}

To find:

The value of n in terms of x.

Solution:

We have,

3^x\times 9=3^{2n-1}

It can be written as

3^x\times 3^2=3^{2n-1}

3^{x+2}=3^{2n-1}                [\because a^ma^n=a^{m+n}]

On comparing the exponents, we get

x+2=2n-1

Add 1 on both sides.

x+2+1=2n-1+1

x+3=2n

Divide both sides by 2.

\dfrac{x+3}{2}=n

Therefore, the value of n is terms of x is n=\dfrac{x+3}{2}.

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