Answer:
C.
Step-by-step explanation:
We have been given a function . We are asked to find the inverse of the given function.
First of all, we will replace by y as:
Now, we will interchange x and y variables as:
Solve for y:
Switch sides:
Therefore, the inverse function for the given function would be .
a = 4, p = 2, q = - 1
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,111,112,113
Answer: i think its 77%
Given the following;
Diameter of the sun ds = 1,391,000 kilometers
Diameter of the Venus dv = 12,100kilometers
Taking the ratio of both diameters;
Ratio = Diameter of sun/Diameter of Venus
Ratio = 1,391,000/12,100
Ratio = 13910/121
Ratio = 114.958
Hence ds/dv = 114.958
ds/dv = 1.149 *10^2
ds/dv = 1.15*10^2
ds = 1.15*10^2 dv
Hence the diameter of the sun is 1.15*10^2 larger than that of the venus.