Answer:
The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up
Step-by-step explanation:
I like math.
A) Y U Z { B, C, D, F, G, H, K, T, L, M, N, W}
b) n(YUZ) {5} (<em>n</em> is the number of elements in the set)
c) X AND Y {K}
d) n(X AND Y) {16}
I'm not sure of that notation for e and f. Can you tell me what the X\Y means?
Vertex: (-5,-2); parabola opens up;
General form of the equation for a vertical parabola opening up is:
y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:
y+2 = a(x+5)^2. We need to find the value of the coefficient a.
From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).
subst. these values into y+2 = a(x+5)^2, we get:
10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or 1 = a(169/16).
Solving for a: a = 16/169 = 0.09, or approx 16/160, or 1/10. Unfortunately, this is not close to any of the four answer choices.
I thought it best to try again, and fortunately my second try was correct:
10+2 = a(13/4)^2, or (169/16)a. Thus, 12 = a(169/16)
12
Solving for a: a = ------------- = 1.14. The answer choice closest to this is 1.
169/16
Answer A is correct.
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
