Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
Answer: Choice A
Set the radicand (stuff under the radical) greater than or equal to 0. Solve x+11 >= 0 for x to get x >= -11
X + y = 23000
x.08 + y.09 = 2040
x = 23000 - y
(23000 - y) .08 + y.09 = 2040
1840 - .08y + .09y = 2040
Simplify
.01y = 200
Simplify
Y = 20000
X + 20000 = 23000
X = 3000
CHECK: .08x + .09(20000) = 2040
.08x + 1800 = 2040
Simply .08x = 240
X = 3000
Answer:
The distance from the star to the second checkpoint is 4 miles
Step-by-step explanation:
The complete question in the attached figure
we know that
When you get to the second checkpoint, you are 1/4 of the distance to the finish
so
The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4
The total distance is 40 miles ( see the attached figure)
so
The distance from the star to the second checkpoint is

<em>Find out the distance from the start to the first checkpoint</em>
Multiply the distance from the star to the second checkpoint by 2/5