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madreJ [45]
3 years ago
9

A pair of equations is shown below:

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

Answer:

A. x=2, y = 7.

B. (2, 7).

Step-by-step explanation:

A. You can eliminate y by subtracting the equations:

y =  8x - 9

y =  4x - 1       Subtract:

0 =  4x - 8

4x = 8

x = 8/4 = 2.

Now substitute for x in the first equation:

y = 8(2) - 9 = 7.

Check in the second equation:

y = 4x - 1

7 = 4(2) - 1 = 7.  Check is OK.

B. On the graph they will intersect at the point (2, 7).

They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.

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How many apples are left in the tree if you started with 18 and ended with 11
ruslelena [56]

Answer:

Wouldn't it be 11? If the tree starts with 18 apples, and ends with 11, then that's it, it ends with 11 apples.

unless you just mis-typed, and meant 18-11. 7 would be the answer.

Step-by-step explanation:

7 0
3 years ago
Write the equation of the parabola that has the vertex at point (3,−12) and passes through the point (0,6).
lana [24]

Answer:

y = 2(x-3)^2 -12

y = -4/9(x-2)^2 +7  bonus

Step-by-step explanation:

The vertex form of a parabola is

y = a(x-h)^2 + k  where (h,k) is the vertex

y = a(x-3)^2 - 12

We have one point given (0,6)

6 = a (0-3) ^2 -12

6 = a (-3)^2 -12

6 = 9a-12

Add 12 to each side

6+12 = 9a

18 = 9a

Divide each side by 9

18/9 = 9a/9

a=2

y = 2(x-3)^2 -12

We follow the same steps for the bonus

y = a(x-2)^2 +7

Substitute the point into the equation

3 = a (-1-2)^2 +7

3 =a (-3)^2 +7

3 = 9a +7

subtract 7 from each side

3-7 = 9a +7-7

-4 = 9a

Divide by 9

-4/9 =a

y = -4/9(x-2)^2 +7

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3 years ago
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