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4 years ago

The graph of the cube root parent function y =3^sqrt x

Mathematics

1 answer:

umka2103 [35]4 years ago

7 0

Answer:

f(x) = $\sqrt[3]{x + 6}$ + 1

Step-by-step explanation:

Whenever addition or subtraction occurs within the cube root, it moves horizontally; the opposite is done for the translation, thus if it is addition, which in this case it is, instead of moving the positive direction, the function moves the negative direction.

As opposed to addition or subtraction outside of the cube root, it moves vertically, and in this case, it is translated exactly as stated. Here it states addition, thus the graph moves up in one unit.

The origin of the parent function is at ( 0, 0), in contrast, the origin of the function is at ( -6, 1 )

By using what we know, we can determine that the answer will be f(x) = $\sqrt[3]{x + 6}$ + 1 since we know that the inside of the cube root should be the opposite of the x value and the outside of the cube root should be the same.

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Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. T

earnstyle [38]

Answer:

36 miles.

Step-by-step explanation:

We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

$\text{Distance}=\text{Speed}\times \text{Time}$

Substitute the given values:

$\text{Distance}=(\frac{4\text{ miles}}{\text{Hour}}+\frac{20\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=(\frac{24\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=24\text{ miles}\times 3$

$\text{Distance}=72\text{ miles}$

The total distance is 72 miles, so the distance going up would be half of 72.

$\frac{72}{2}=36$

Therefore, Karina went 36 miles up the mountain.

4 0

3 years ago

The perimeter of a rectangular herb garden is 74 feet. If the length is 5 feet longer then 3 times it’s width what is the garden

NemiM [27]

Answer:

width = 8 feet and length = 29 feet

Step-by-step explanation:

perimeter of a rectangle P = 2(L + W)

width W = x

length L = 3x + 5

P = 74 feet

74 = 2(3x + 5 + x)

37 = 3x + 5 + x

37 = 4x + 5

4x = 37 -5

4x = 32

x = 8

W = 8 feet

3 0

3 years ago

Part A: Using computer software, a correlation coefficient of r = 0. 01 was calculated. Based on the scatter plot, is that an ac

sattari [20]

Part A: Based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.

Part B: A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

<h3>What is Correlation Coefficient?</h3>

Correlation coefficient, r, is quantitative measure that measures the extent to which two variables are associated.

The closer the data points are on a scatter plot, the closer the value of r is to 1 or -1.

Part A:

The data points in the scatter plot are farther apart and the trend slopes upwards to the right, this means that the correlation coefficient, r, would be positive but very low.

Thus, based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.

Part B:

A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

Learn more about correlation coefficient on:

brainly.com/question/4219149

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2 years ago

Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it w

Delicious77 [7]

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5 0

4 years ago

2. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.

Katarina [22]

Answer:

Rectangle B is a scaled copy of rectangle A.

Enlargement scale factor = 1.25

Step-by-step explanation:

Rectangle A:

Length = 12 units

Width = 8 units

Rectangle B:

Length = 15 units

Width = 10 units

Rectangle C:

Length = 30 units

Width = 15 units

Rectangle B length ÷ rectangle A length = rectangle B width ÷ rectangle A width = 1.25

i.e $\frac{15}{12}$ = $\frac{10}{8}$ = 1.25

Hence rectangle B is a scaled copy of rectangle A and the scale factor of enlargement is 1.25

3 0

3 years ago

Read 2 more answers