Equilateral, because the sides are equal
Your insight that the function values differ by 5 every time is very important. So your f(x) will contain 5x as a term. You have to find a constant to add or subtract to make sure f(1)=-2.
f(x) = 5x-7 does the job.
Answer:
28 short race volunteers
76 long race volunteers
Step-by-step explanation:
Let :
Short races = a
Long races = b
LAST YEAR:
7a + 8b = 804 - - - - (1)
THIS YEAR:
11a + 5b = 688 - - - (2)
Multiply (1) by 5 and (2) by 8
35a + 40b = 4020
88a + 40b = 5504
Subtract
-53a = - 1484
a = 1484 / 53
a = 28
Put a = 28 in equation (1)
7(28) + 8b = 804
196 + 8b = 804
8b = 804 - 196
8b = 608
b = 76
28 short race volunteers
76 long race volunteers
Answer:
a). -6x³ - 12x² b). -12 c). 12
Step-by-step explanation:
a). (g x f)(x) can also equal f(g(x))
= f (2x +4)
= -3x² (2x+4)
= -6x³ - 12x²
b). f(g(-1))
g(-1) = 2(-1) + 4
= -2 + 4
= 2
f(2) = -3x²
= -3(2)²
= -12
c). g(h(3))
h(3) = 3x-1/2
= 3(3) - 1 / 2
= 4
g(4) = 2x + 4
= 2(4) + 4
= 12
Answer:
(-4, -18).
Step-by-step explanation:
f(x = x^2 + 8x - 2 Completing the square on x^2 + 8x:-
= (x + 4)^2 - 16 - 2
= (x + 4)^2 - 18
- which is the vertex form of f(x)
The vertex of
(x - h)^2 + k is at (h, k)
So the vertex of f(x) is at (-4, -18)
