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Nina [5.8K]
4 years ago
15

F(x) = square root of x+9 ; g(x) = 8x - 13 Find f(g(x))

Mathematics
1 answer:
ryzh [129]4 years ago
3 0

Answer:

\sqrt{8x-4}

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

= \sqrt{8x-13+9}

= \sqrt{8x-4}

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To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow
7nadin3 [17]

Answer:

1 cup of blue paint required 5 cups of yellow paints

<em />

Step-by-step explanation:

Given

2 cups of blue = 10 cups of yellow

Required

Determine the number of cups of yellow for 1 cup of blue paint

The given parameter shows a linear relationship between paints of blue and paints of yellow

We have:

2 cups of blue = 10 cups of yellow

Multiply both sides by 0.5

0.5* 2 cups of blue = 0.5* 10 cups of yellow

1 cup of blue = 5 cups of yellow

Hence;

<em>1 cup of blue paint required 5 cups of yellow paints</em>

7 0
3 years ago
Cora is creating a rectangular prism. The base of her prism is shown below. She plans to have a height of 8
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Answer:

See the explanation.

Step-by-step explanation:

Cora is making a rectangular prism. She plans to have 8 inches if height. What will be the volume of the rectangular figure?

As the figure formed is a rectangular prism. we need to find the volume of  rectangular prism. Volume of prism will be:

Volume = Length · Width · Height

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Volume = 8(Length · Heights) inch³

6 0
3 years ago
Write 3.7 as a mixed number explain
frosja888 [35]
3 and 7/10 or 37/10
Just look up mixed numbers
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3 0
3 years ago
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Find the slope of the line that passes through (8,9) and (5, 14).​
AleksAgata [21]

Answer:

6/-4   (right 6 points on x-axis & down 4 points on y- axis

Step-by-step explanation:

14- 8            6

---------- =    ------

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7 0
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castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

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So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

6 0
3 years ago
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