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castortr0y [4]
4 years ago
7

The area of a rectangular garden is given by the quadratic function: LaTeX: A\left(x\right)=-6x^2+105x-294A ( x ) = − 6 x 2 + 10

5 x − 294. Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units?
Mathematics
1 answer:
damaskus [11]4 years ago
3 0

Answer:

Step-by-step explanation:

Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

Maximum area=1323/8

Range= y<= 1323/8

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1.) 1.5m/8m= fg/32m
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the ratio of the length to the width to the height of an open rectangular tank is 10:5:8. The height of the tank is 18 feet long
balandron [24]

Answer:

4556.25

Step-by-step explanation:

10:5:8=x:y:18

18/8=2.25

x=2.25x10=22.5

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The probability of selecting a pink piece of construction paper is 23/60 . The chance of selecting a pink piece of construction
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6 0
4 years ago
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A carpenter needs 9.3 feet of rope for a project. How much will the carpenter spend if the rope costs $3.82 per foot?
den301095 [7]

The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>

The length of rope is given as:

Length = 9.3 feet

The price per rope is given as:

Price per rope = $3.82 per foot

The total amount spent by the carpenter is calculated as:

Total amount = Length * Price per rope

Substitute the known values in the above equation

Total amount = 9.3 feet * $3.82 per foot

Evaluate the product

Total amount = $35.526

Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

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Answer:

Yes, the total cost of Lacey lesson is a split function of hours scheduled

Step-by-step explanation:

The amount Lacey pays for each hour of golf = $15

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Therefore, we have

Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;

C = $10 + t × $15 for 0 ≤ t ≤ 3

C = $5 + t × $15 for t > 3

Therefore, the total cost of Lacey lesson is a split function of hours scheduled

4 0
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