the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
Please help if you can. Mandy used the input and output in this table to write ratios. She concluded that because they are not a
ll equivalent, this is not a proportional relationship. Is she correct? Explain.
2 answers:
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Answer: first option
Step-by-step explanation:
Let's make the following conversion:
40 inches to feet (Knowing that 1 feet=12 inches):
The formula for calculate the are of a rectangle is:
Where l is the lenght and w is the width.
Therefore, when you substitute values, you obtain the following result:
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<span>
it consists of a rectangle, dimensions L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2
</span>then, you have one half of the area of the circle that has diameter R = 3ft - radius will be r = 1.5ft the area of that half will be:
Ac = r^2
/ 2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2
= 7.065 ft^2/ 2
= 3.5325ft^2
A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2
<span>At the rate of $2 per square foot, the cost will be:
$ 15.5325*2 = 31.07 </span>
<span>
it consists of a rectangle, dimensions L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2
</span>then, you have one half of the area of the circle that has diameter R = 3ft - radius will be r = 1.5ft the area of that half will be:
Ac = r^2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2
= 7.065 ft^2/ 2
= 3.5325ft^2
A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2
<span>At the rate of $2 per square foot, the cost will be:
$ 15.5325*2 = 31.07 </span>