Step-by-step explanation:
c=5/9(f-32) can also be written as c = 5(f - 32)/9.
Multiply each side by 9.
That gives us 9c = 5(f - 32).
Apply distributive rule on the right side.
9c = 5f - 160
Add 160 to the left side.
9c + 160 = 5f
Lastly, divide both sides 5.
(9c + 160)/5 = f
Answer:
19/8
Step-by-step explanation:
8x-7=-12
8x=19
x=19/8
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
