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4 years ago

13

shift y=5 (square root x)+ 3 horizontally 2 units to the right and stretch by a factor of 3.( stretch vertically about the fixed

y= 3 line)

1 answer:

cricket20 [7]4 years ago

6 0

Its two units to the right and stretch by a factor of three

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

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3 years ago

Barb signed up for an art club. She had to pay $50 to sign up for the club and

aleksandrvk [35]

5 weeks she went to the club.

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3 years ago

One day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in

astra-53 [7]

Answer:

258 fruits.

Step-by-step explanation:

We have been given that one day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in the afternoon.

So the fruits sold in the afternoon will be 5/6 of 258.

$\text{The number of fruits sold in afternoon}=\frac{5}{6}\times 258$

$\text{The number of fruits sold in afternoon}=5\times 43$

$\text{The number of fruits sold in afternoon}=215$ .

Further, we are told that the number of fruits sold in the next afternoon increased by 20% compared to the number of fruits sold in the afternoon the previous day.

So the number of fruits sold in the next afternoon will be:

$\text{The number of fruits sold in next afternoon}=215+(\frac{20}{100}\times 215)$

$\text{The number of fruits sold in next afternoon}=215+(0.20\times 215)$

$\text{The number of fruits sold in next afternoon}=215+43$

$\text{The number of fruits sold in next afternoon}=258$

Therefore, 258 fruits were sold in the afternoon the next day.

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3 years ago

How can i take picture my home work for ask you?

Yakvenalex [24]

Answer:

Most people tend to screen shot

Step-by-step explanation:

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4 years ago

Complete the table for the given rule. Rule: y= 3x

Ratling [72]

Answer:

x=5

y=30

x=15

Step-by-step explanation:

y=3x=15, then x=15/3, x=5

x=10, then y=3x=3*10=30

y=3x=45, then x=45/3, x=15

6 0

3 years ago