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Oliga [24]
2 years ago
15

Which of the following describes the graph of y = RootIndex 3 StartRoot 8 x minus 64 EndRoot minus 5 compared to the parent cube

root function?

Mathematics
2 answers:
Monica [59]2 years ago
5 0

Answer:

<h2>The first function is shifted down 5 units, strechted by a scale factor of 8, and shifted right side 8 units.</h2>

Step-by-step explanation:

The given function is

y=\sqrt[3]{8x-64}-5

Where its parent function is y=\sqrt[3]{x}

Observe that the binomial inside the cubic root has a GCF,

y=\sqrt[3]{8(x-8)}-5\\

The image attached shows a comparison between these two functions.

Basically, the first function is shifted down 5 units, strechted by a scale factor of 8, and shifted right side 8 units.

MariettaO [177]2 years ago
4 0

Answer:

a. stretched by a factor of 2 and translated 64 units right and 5 units down

Step-by-step explanation:

took the test

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Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
2 years ago
troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

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therefore

the answer is

the equation y=-\frac{x}{21}+30

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Answer:

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Step-by-step explanation:

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Dmitry [639]
Your answer will be 6. 
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