Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer: 4.2 yards
Step-by-step explanation:
Let x = length of the Flores' lawn in yards.
Then, Area of lawn = 4x sq. yard [Area of rectangle = width x length , here width = 4 yds (given)]
Charge per square yard = $1.25
Charge for Flores lawn = 1.25 × (Area of lawn)
= 1.25 (4x)
= 5x
As per given,

Hence, the length of the Flores's lawn = 4.2 yards
Do you know what D equals?
Answer:
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Step-by-step explanation:
The volume of the given rectangular prism is option C.
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Step-by-step explanation:
Step 1:
The dimensions of the given rectangular prism are 4 units × 3 units × 2 units.
So we take the length equals 4 units, the width is equal to 3 units and the height is 2 units.
Step 2:
The volume of this rectangular prism is calculated by multiplying the given prism's length, its width, and its height.
The Volume of the given rectangular prism = 
So the given right rectangular prism's volume is
which is option C.