Answer:
4960?
Step-by-step explanation:
31 times 160 = 4960
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
6x^5 - 30x^4 - 84x^3
we can factor out 6x^3
6x^3(x^2 - 5x - 14)
Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14
The final answer = 6x^3(x - 7)(x + 2)
Answer:
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
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