Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
Answer:
x = -2/15.
Step-by-step explanation:
Finding the second derivative:
f'(x) = 15x^2 +4x - 3
f"(x) = 30x + 4
30x + 4 = 0 for a point of inflection
x = -4/30 = -2/15
So 30x + 4 is negative up to x = -2/15 and positive thereafter.
So the curve passes from concave downward to concave upward at x = -2/15.
Answer:
pk oma gawd hey you
Step-by-step explanation:
150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours
You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
Now we subtract 188 - 47
Which is 141
$141 is the sales price.