Answer:
Step-by-step explanation:
<u>Key skills needed: Probability, Possible Outcomes</u>
1) We are given a spinner --> With numbers: 1,2,3,4,5,6,7, and 8
That means there are 8 numbers on the spinner.
2) The problem asks what is the probability that the spinner will not land on 5 or the 8.
To calculate this --> 
3) The accepted outcomes are when the spinner lands on --> 1,2,3,4,6,7
That is 6 accepted outcomes.
4) The total outcomes is 8 (since there are numbers the spinner can land on).
5) Therefore, the answer would be 
can be simplified into as both the numerator (6) and the denominator (8) share a factor of 2.
6) With this --> is the answer.
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
Answer:
A. 4/7 feet
B. 4/7 x 15 = 60/7 or 8 and 4/7 feet
Answer:
152 degrees
Step-by-step explanation:
CF is a straight line, which means it equals 180 degrees. But FXE is an angle of 28 degrees so you subtract 180 from 28 to get 152 degrees.
It's 4/3 because of the distance formula
