Answer:
(1, 8.5 ) and ( - 17, 80.5 )
Step-by-step explanation:
Given the 2 equations
y =
x² + 4x + 4 → (1)
y = - 4x + 12
→ (2)
Substitute (1) into (2), that is
x² + 4x + 4 = - 4x + 12
( multiply through by 2 to clear the fractions )
x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )
x² + 16x + 8 = 25 ( subtract 25 from both sides )
x² + 16x - 17 = 0 ← in standard form
(x + 17)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 17 = 0 ⇒ x = - 17
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 equations and evaluate for y
Substituting into (2 )
x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )
x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )
Answer:
Step-by-step explanation:
Is there a picture maybe?
Answer: A. 117,600 people.
<h3>
Answer: 2x^2 - x - 3</h3>
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Work Shown:
(x+1)(2x-3)
y(2x-3)
2xy - 3y
2x( y ) - 3( y )
2x( x+1 ) - 3( x+1 )
2x^2+2x - 3x-3
2x^2 - x - 3
Explanation:
In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.
I think its 8cc but i could be wrong