9514 1404 393
Answer:
A. {1, 7, 11}
Step-by-step explanation:
The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.
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If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":
(2x -1)x +1
For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11
For x = 0, this is 1
For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7
So, the range for the given domain is {1, 7, 11} . . . . . matches choice A
Answer:
30 students would have to go for the cost to be the same.
Step-by-step explanation:
Bus A: $40 + ($4 * 30) = $160
Bus B: $100 + ($2 * 30) = $160
The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.
Let's say we had the expression 
The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.
The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so
With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.
Answer:
Step-by-step explanation:
Realize what (-5)^3 means
(-5)(-5)(-5)
25(-5)
-125
meanwhile
(-9)^2 is
(-9)(-9)
81
Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.
