(goh)(x) = (g(x))(h(x)) = (x^2)(x-7) = x^3 -7x^2
then (goh)(5) = (5^3)-7(5)^2 = 124-7(25) = 124-175 = -51
Answer:
$1.60
Step-by-step explanation:
Please see the attached pictures for full solution.
The formula for midpoint is
(
,
)
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
^^^Plug in these number into the formula given above...
(
,
)
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation (
) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
= -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation(
) and set it equal to the y-value of the midpoint (3). Then you must solve for y:
= 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value
y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650
650 <= 300(1.05)^x