1. Parabola's equation is y = a(x + b)^2 + c, where (b, c) is the vertex.
2. We have y = a(x - 3)^2 + 1
3. Take everything to the left side:
-a(x - 3)^2 + y - 1 = 0
That's the standard equation. Hope this helps! :)
Answer:
6
Step-by-step explanation:
(g o f)(3) = g(f(3))
We can find f(3) using its formula with x=3:
f(3) = -2·3 +8 = -6 +8 = 2
Now, we can find g(2) using its formula with x=2:
g(2) = 3·2 = 6
So, the composition value is ...
(g o f)(3) = 6
Answer:1/36
Step-by-step explanation:
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 61 63 64 65 66 <=only 1 with 2 sixes
Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.
Now just solve the equation:
5x+3x=32
8x=32
x=4.
Now insert x into ratio.
Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.
Answer:
12 FL OZ of guava juice.
In expression form this is:
9 + 2f
Hope this helps!