Answer:
Step-by-step explanation
11
What is the range of the function y=1 + 2 sin(x - 1)?
A.
-1 to 1
B.
-2 to 2
O C.
O to 3
D.
-1 to 3
E.
-3 to 3
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Answer:
B
Step-by-step explanation:
You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-
Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.
Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.
*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*
ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.
15 - 3 = 12
5t - 3t = 2t
12 + 2t is your final answer. Hope that helps! :)
