F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer: 25 games
Step-by-step explanation:
Take the fractions 76/100 and 19/x
Cross multiply. 76 times x equally 76x and 100 times 19 equals 1900.
Divide 76x by 76 which equals just x.
Divide 1900 by 76 which equals 25.
x=25
Answer:
<em>x = 12 in ; Type in 12 in the box</em>
Step-by-step explanation:
If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,
Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;
Area of Triangle = 1/2 * base * height,
60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,
60 in^2 = 5 in * x in ⇒ divide either side by 5 in,
12 in = x in ⇒ divide either side by inches,
x = 12 inches,
<em>Solution; x = 12 in</em>
Answer:
and 
Step-by-step explanation:
We know,
'Direct Variation function' is the function where two quantities vary directly i.e. variables x and y are said to be directly varying if 'y=kx' where k is the constant of variation.
Thus, from the options, we see that the function,
is varying directly with the constant of variation i.e. k = 1.
is also varying directly with constant 
Answer:
-3 for the integer and she has to climb 3 miles back up to her starting point.
Step-by-step explanation: