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3 years ago

If f(x) = 3^x and g(x) = 3^(x+1)+6. Describe the transformations from f(x) to g(x).

1 answer:

5 0

To move tot he right h units, subtract h from every x to move up k units, add k to the whole equaiton added 1 to every x (subtract -1) added6 to whole thing moved -1 to right (moved 1 to left) moved up 6 units answer is A

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Which of the following is a Composite Number?

adoni [48]

61 is the composite Number your welcome

5 0

3 years ago

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20) Fred bought 3 shirts, each of the same price and received less than $12 change from a $50 bill.

gladu [14]

<h3>Three t-shirts can be represented as "X" and 3 will be represented as the number of t-shirts Fred bought.</h3><h3 /><h2>3x = 50</h2><h3>÷3 ÷3 ← divide both sides by 3</h3><h3 /><h3>X = $16.66 maximum cost.</h3>

4 0

3 years ago

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Divide R300 000 between Leona and Janet in the ratio 3:2.

ella [17]

Answer:

let the ratio be in x 

a/q. 3x + 2x = 300000

 5x = 300000

x = 300000/5

x= 60000

Leona = 60000*3 = 180000

Janet = 60000*2 = 120000

hope it helps

5 0

3 years ago

James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve

otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, x₁ = 0 and x₂ = 2 deliveries the money earned are y₁ = $5 and y₂ = $9.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2$

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, x₁ = 2 and x₂ = 4 deliveries the money earned are y₁ = $9 and y₂ = $13.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, x₁ = 6 and x₂ = 8 deliveries the money earned are y₁ = $17 and y₂ = $21.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0

3 years ago

Is the sum of the areas of two smaller squares equal to the area of a large square if the side lengths of the squares are 8 feet

Ivanshal [37]

No, the sum of the areas of two smaller squares is not equal to the

area of a large square

Step-by-step explanation:

To solve this problem let us do these steps

1. Find the area of the larger square

2. Find the area of the two smaller squares

3. Add the areas of the two smaller squares

4. Compare between the sum of the areas of the 2 smaller squares

and the area of the larger square

The area of a square is s²

The length of the side of the larger square is 8 feet

∵ s = 8 feet

∴ Area of the larger square = (8)² = 64 feet²

The lengths of the sides of the smaller squares are 5 feet and 3 feet

∵ s = 5 feet

∴ The area of one of the smaller square = (5)² = 25 feet²

∵ s = 3 feet

∴ The area of the other smaller square = (3)² = 9 feet²

The sum of the areas of the two smaller squares = 25 + 9 = 34 feet²

∵ The area of the larger square is 64 feet²

∵ The sum of the areas of the two smaller squares is 34 feet²

∵ 64 ≠ 34

∴ The sum of the areas of two smaller squares is not equal to the

area of a large square

No, the sum of the areas of two smaller squares is not equal to the

area of a large square

Learn more:

You can learn more about the areas of figures in brainly.com/question/3306327

#LearnwithBrainly

4 0

4 years ago