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marta [7]
3 years ago
7

Write the equation of a square root function that has the following graph.

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

9514 1404 393

Answer:

  g(x) = √(x -5) +7

Step-by-step explanation:

To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

  g(x) = f(x -h) +k

To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...

  g(x) = √(x -5) +7

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A shipping container holds 20 soft drink boxes. The dimensions of a soda box are 15 inches by 4 inches by 5 inches. What is the
patriot [66]

Answer:

6000 in³

Step-by-step explanation:

To solve this problem, we simply have to find the volume of the shipping container that will be just enough to contain the 20 soda boxes.

To do this, we find the volume of each soda box and multiply it by the total number of soda boxes held by the shipping container.

Volume of the box = L * B * H

L = length = 15 in

B = breadth = 4 in

H = height = 5 in

V = 15 * 4 * 5 = 300 in³

This is the volume of each soda box.

The volume of 20 soda boxes will then be:

V = 20 * 300 = 6000 in³

This is the volume of 20 soda boxes and hence, the minimum size the shipping container can be.

7 0
4 years ago
I WILL GIVE THE BRAINLIEST
Hatshy [7]

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

4 0
3 years ago
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
vlabodo [156]

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

x - 5 + \frac{x}{2} + 6 = 13

Solve to find the value of x

\frac{2x - 10 + x + 12}{2} = 13

\frac{3x + 2}{2} = 13

Multiply both sides by 2

\frac{3x + 2}{2}*2 = 13*2

3x + 2 = 26

Subtract 2 from both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide both sides by 3

\frac{3x}{3} = \frac{24}{3}

x = 8

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

6 0
3 years ago
The length of a rectangular art canvas is 36 inches, and the width is 24 inches. What is the length of the diagonal of this fram
igor_vitrenko [27]

Answer:

43.3

Step-by-step explanation:

pythagoras theorem

6 0
3 years ago
10/14 a/10.5 <br><br> solve for A with explanation
photoshop1234 [79]

Answer:

a = 7.5

Step-by-step explanation:

Given

\frac{10}{14} = \frac{a}{10.5}

Required

The value of a

Cross multiply

a * 14 =10 * 10.5

Make a the subject

a = \frac{10 * 10.5}{14}

a = \frac{105}{14}

a = 7.5

5 0
3 years ago
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