Answer:
1.
is a perfect square trinomial
Step-by-step explanation:
2. Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.
3. I will upload a picture showing my work
Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
Answer:
is the equation of this parabola.
Step-by-step explanation:
Let us consider the equation


![\mathrm{Range\:of\:}-4x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D-4x%5E2%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Af%5Cleft%28x%5Cright%29%5Cle%20%5C%3A0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A0%5D%5Cend%7Bbmatrix%7D)

As











Therefore, the parabola vertex is





so,

Therefore,
is the equation of this parabola. The graph is also attached.
A: From the graph, car B was traveling faster.
Because the line of car B is more steep than the line of car A.
B:
The lines cross at (2,80), this means that the two cars were traveling at the same distance (80 miles) at the same time (2 hours).
C:
Since the line passes through the points (0,0) and (2,80)
So the unit rate or slope is 40 mph.
The distance which car A traveled in the first four hours = 4x40= 160 mph
Steps to my answer:
18x-9xy+12x
Add similar elements together, your answer comes out to be:
=30x-9xy
I hope this is what you were looking for! :)