<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer: 125
Step-by-step explanation:
First, solve for x in the first equation.
1) Subtract 1 from both sides.
2x = 4
2) Divide by 2 on both sides.
x = 2
Next, substitute the value of x into the second expression.
(2 + 3)^3
= 5^3
= 125
Answer:
B
Step-by-step explanation:
Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:
I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE
II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE
III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE
Answer B is correct
3(2x+2)+x+5=-10
6x+6+x+5=-10
7x+11=-10
7x=-21
x=-3
Answer:
the answer is 2
Step-by-step explanation:
2/3/1/3 were going to take 1/3 multiply it by 2/3 and switch the nume and the deno.
2/3 x 3/1 = 6/3
6/3 = 2
