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3 years ago

I need help with this one too

Mathematics

2 answers:

natali 33 [55]3 years ago

3 0

Hey there! :)

Answer:

y = 11.

Step-by-step explanation:

Set both of the equations equal:

5x - 9 = x² - 3x + 7

Rearrange the equation:

0 = x² - 3x - 5x + 9 + 7

Combine like terms:

0 = x² - 8x + 16

Factor:

0 = (x -4)²

Solve for x:

0 = x - 4

x = 4.

Plug this into an equation to solve for 'y':

y = 5(4) - 9

y = 20 - 9

y = 11.

wariber [46]3 years ago

3 0

Answer:

Step-by-step explanation: Is this what you needed ?

I Hope i am right

$x^2-3x+7\\y =x^2-3x+7\\x = -b / 2a\\x = -(-3)/2(1)\\x = 3/2\\y=(3/2)^2-3(3/2) +7\\y=9/4 -9/2 +7\\y = -9/4+7\\y =19/4$

$Sustitute -y=5x-9-into\\y=x^2-3x+7\\(5x-9)^2=x^2-3x+7\\Solve-for-x \\x =4\\substitute-4-for - -in ; y=5x-9\\y = 5(4)-9\\y = 20-9\\y =11$

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<h2>Hello!</h2>

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Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

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