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Trava [24]
3 years ago
10

The following graph describes function 1 and the equation below it describes function 2:

Mathematics
1 answer:
Tanya [424]3 years ago
8 0
Function 1: 
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4

Function 2 derivative:  -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒  x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13

Function 2 has the larger maximum.
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Use unit multipliers to convert 123 pounds per mile to ounces per centimeter. There are 5,280 feet in 1 mile. There are 16 ounce
gregori [183]
A unit multiplier is a conversion factor of value 1 that we can use to convert quantities.
We want to convert 123 pounds per mile to ounces per centimeter. 
First, we are going to express the quantity to convert as a fraction:
123 pounds per mile=123 \frac{pounds}{mile}

Next, we are going to find our multipliers:
- We know for our problem that there are 5,280 feet in 1 mile, so our first multiplier will be: \frac{1mile}{5280ft}
- We also know that there are 16 ounces in 1 pound, so our second multiplier will be: \frac{16ounces}{1pound}
- We know that there are 12 inches in 1 foot, so our third multiplier will be: \frac{1ft}{12in}
- We know that t<span>here are approximately 2.54 cm in 1 inch, so our fourth multiplier will be: </span>\frac{1in}{2.54cm}

Now we can put all our multipliers together:
123 \frac{pounds}{mile} * \frac{1mile}{5280ft}*\frac{16ounces}{1pound}* \frac{1ft}{12in}*\frac{1in}{2.54cm}=0.01 \frac{ounces}{cm}

We can conclude that the answer is 0.01
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4 years ago
What is the volume of a come if the base is 26 and the height is 8
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Answer:

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Step-by-step explanation:

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4 years ago
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A rectangular lawn is 15 yards by 26 yards. It would cost $9.00 per yard to install a fence around the lawn. How much would it c
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Answer: $738

Step-by-step explanation:

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82 · $9 = $738

7 0
3 years ago
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