Answer: Choice B
Range = {-3, 1, 5}
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Explanation:
The domain is the set of all possible input x values. The range is the set of all possible y outputs.
Plug in each x value from the domain, one at a time, to get its corresponding range y value.
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Start with x = -3
f(x) = 2x+3
f(-3) = 2(-3)+3
f(-3) = -6+3
f(-3) = -3
So -3 is in the range.
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Move onto x = -1
f(x) = 2x+3
f(-1) = 2(-1)+3
f(-1) = -2+3
f(-1) = 1
1 is also in the range
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Finally plug in x = 1
f(x) = 2x+3
f(1) = 2(1)+3
f(1) = 2+3
f(1) = 5
The value 5 is the final value in the range.
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All of those values form the set {-3, 1, 5} which is the complete range.
Answer:
(-4, -3)
Step-by-step explanation:
The graph of both lines will be shown below.
To find the solution, we need to find the point on the graph that both lines intersect on.
As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.
Best of Luck!
Answer:
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Step-by-step explanation:
step 1
<em>Find out the unit rate of a regular tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so

step 2
<em>Find out the unit rate of a travel size tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so

step 3
Find out the percent of increase
we have that
The unit rate
represent the 100%
so by proportion
Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

therefore
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Answer:

Step-by-step explanation:
Simplify the equation 

Since

and

we have

Answer:
16π or around 50.26
Step-by-step explanation:
A=πr²
A=π(4)²
A=16π
A=16(3.1415926)
A=50.26