Y = 3x2 + -27
Reorder the terms:
y = -27 + 3x2
Solving
y = -27 + 3x2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = -27 + 3x2
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Calculate Jean's rate
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Jean takes 8 hours to fill the pool.
So in 1 hour, she can fill 1/8 of the pool
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Calculate Mark's rate
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Mark takes 12 hours to fill the pool.
So in 1 hour, he can fill 1/12 of the pool.
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Calculate their rate if they work together
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Jean = 1/8
Mark = 1/12
1/8 + 1/12 = 3/24 + 2/24 = 5/24
They will fill 5/24 of the pool in 1 hour
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Find number of hours needed to fill up the pool
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I hour = 5/24 of the pool
1 ÷ 5/24 hour = 5/24 ÷ 5/24 of the pool
24/5 hour = Whole pool
Whole pool = 24/5 hours
Whole pool = 4 4/5 hours or 4.8 hours
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Ans: The supervisor is not correct, it will take only 4.8 hours if both of them work together.
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Answer: See below.
Step-by-step explanation:
The domain is the set of natural numbers. <u>Yes</u>
The range is the set of natural numbers. <u>Yes</u>
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4. <u>Yes See attachment</u>
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x <u>No See attachment</u>
The sequence shows exponential growth. <u>Yes</u>
<u></u>
<u></u>
Answer:
Step-by-step explanation:
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>equation</u><u>.</u><u> </u>
2x²+10x=0
2x(x+5)=0
2x=0 or x+5=0
x=0 or x= -5