Look at h(x) = |x-9|. The vertex of this absolute value function graph is at (9,0).
Sometimes it helps to work on a simpler problem first, which is why I've introduced h(x) = |x-9|.
The vertex of g(x)=|x-9|+3 is 0+3, or 3; we translate the entire graph of g(x)=|x-9| upward by 3 units. Thus, the vertex of g(x) is (9,3).
Answer:
Step-by-step explanation:
First you must find the number of cubic feet in the pool. (That's volume)
Formula
V = l*w*h
Givens
Solution
<em><u>Volume</u></em>
V = 38 * 22 * 8
V = 6688 cubic feet.
<em><u>Gallons</u></em>
1 cubic foot = 7.5 gallons
6688 ft^3 = x
<em><u>Proportion</u></em>
1/6688 = 7.5 / x Cross Multiply
x * 1 = 7.5 * 6688
x = 50160 gallons
The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
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Answer:
What is this my head is paining