Answer:
- A. The function g(x) is a translation of f(x) = √x.
- C. The function g(x) has a range of {y | y > –1}.
- E. The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = √x
Explanation:
The function f(x) = √x has been translated 3 units to the left and 1 unit down to make g(x). That means translating g(x) 3 units right and 1 unit up will make f(x). (matches choices A and E)
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The range of the function is the vertical extent, all y-values ≥ -1. (matches choice C)
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The translated function is ...
g(x) = f(x+3) -1 = √(x +3) -1 . . . . . does not match choice D
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The domain of the function is the horizontal extent, all x-values ≥ -3. (does not match choice B)
Can you please check, if you wrote it down correctly. Cause in this case the answer would be -2= -1. I think that isn’t the solution.
Answer:
5
Step-by-step explanation:
10 * 5 = 50
Answer:
Let p be the number of pens and let n be the number of notebooks.
4 notebooks + 3 pens cost $96 so 4n + 3p = 96
2 notebooks + 2 pens cost $54 so 2n + 2p = 54
We find n and p by solving the system of linear equations:
4n + 3p = 96
2n + 2p = 54
4n + 3p = 96
4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)
We then subtract the two equations:
(4n + 3p) - (4n + 4p) = 96 - 108
-p = -12
p = 12
So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:
2n + 2p = 54
2n + 2(12) = 54
2n + 24 = 54
2n = 30
n = 15
So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:
8n + 7p = ?
8(15) + 7(12) = ?
120 + 84 = 204.
Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).
