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.
Answer:
.25 dollars
Step-by-step explanation:
divide everything by 4 to get .25
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
Answer:
x=-1
Step-by-step explanation:
x+1=0(squared).
x+1=0 (anything raise to the power 0 is 0
collect like terms =x=-1
therefore x=-1
Answer: For every 1 can of red paint, the number of yellow paints used by the painter is 
and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by
So, for every 1 can of red paint, the number of yellow paints used by the painter is
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be
Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.
