Answer:
z-score value is 1.08
Step-by-step explanation:
The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Shaded area is 0.8599.
So, We are given the shaded area and we need to find the z-score
Looking at the Positive z-score value, which is added in the figure:
z = 1.08
So, z-score value is 1.08
Answer:
A. -1/2
Step-by-step explanation:
(2x+2)^2 - 3(4/3x)=3
x=-1/2
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
It takes 16 movie rentals for both options to be the same price
<u>Solution:</u>
Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.
A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.
We have to find how many movie rentals will it take for both options to be the same price?
Now, let the number of movies rented be "n"
Then, according to the given information,

Hence, it takes 16 movies to be the same price for both options.
4/15 !! hope it helps loll