Answer:
Kyle did not solve the question correctly
Step-by-step explanation:
The equation (-4x +9)^2 is a perfect square trinomial.
A typical example of a perfect square trinomial is (x +y) ^2 = x^2 + 2xy + y^2
Therefore, (-4x + 9)
= (-4x)^2 + 2(-4x)(9) + (9)^2
= 16x^2 + 2(-36x) + 81
= 16x^2 - 72x +81
The result Kyle gave was 16x^2 + 81. This is incorrect.
Therefore, Kyle did not solve the question correctly
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
D. About 9.4 units
Step-by-step explanation:
Your answer is 3:27 because you multiply both sides by three