Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
Next time, please include ALL info pertaining to your question, including the set of possible answer choices. Thank you.
The correct answer is B) $50 per hour. Hope this helps!
Answer:
year 13
Step-by-step explanation:
franklin's population is growing by 1000 people per year(5% of 20000 is 1000) and Chester is growing by 500 per year so at year 13 franklin will be at 32000 while Chester is at 31500
As far as I can make out this one.
the bunker is a 3D object, it has a height, with and length, however we're only concerned with the 2D front face, which has a length and width only.
we know the x-axis is the ground level, so the y-axis must be the scale for the length.
if we can find, using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground level width.
keeping in mind that when the graph touches the x-axis, an x-intercept, "y" is 0.

now, the distance from (-72, 0) and (72, 0) is just 72 +72, or 144.