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Andre45 [30]
3 years ago
8

The midpoint between y and 33 is -7. Find y

Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

y = -47

Step-by-step explanation:

To find the midpoint of two points, add them together and divide by 2

(y+33)/2 = -7

To find y, multiply each side by 2

(y+33)/2 *2 = -7*2

y+33 = -14

Subtract 33 from each side

y+33-33 = -14-33

y = -47

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Write an equation of the line that passes through (1, 2) and is parallel to the line
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Step-by-step explanation:

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A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.
uysha [10]
Find A <span>if B is between A and C.
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AC = AB + BC

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So

AC = 5x-19 + 3x+4

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If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha
Tju [1.3M]

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Step-by-step explanation:

You want to find x such that ...

  x^2 +(x +1)^2 = 61

  2x^2 +2x -60 = 0 . . . . . simplify, subtract 61

  x^2 +x -30 = 0 . . . . . . . divide by 2

  (x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.

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3 years ago
Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!
Lelu [443]

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

4 0
2 years ago
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