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Gennadij [26K]
3 years ago
14

PLEASE HELP FAST!!! How many solutions does this system have?

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Step-by-step explanation:

  • y=3/4x+(-5)
  • -4x+4(3/4x+-5)=-20

-4x+3x-20=-20

-x=-20+20

-x=0

x=0

  • x=0 in y=3/4x-5

y=3/4×{0}-5

y=-5

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Answer:

The vertex form of the equation is y = -\frac{1}{3}( x-1)^{2} +1.

Step-by-step explanation:

You will use the equation y=a(x-h)^{2} +k to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get y= a(x - 1)^{2} +1.

Then, we substitute the point as our x and y to get -2 = 9a+1 (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 9a to get 9a = 3. Finally, divide by 9 on both sides to get a=\frac{1}{3}.

Now, substitute your a back into the equation to get y = -\frac{1}{3}(x-1)^{2}+1.

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