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stepladder
1 month ago
10

If x = 3z and z=2y, then x=?

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
5 0
x = 6y. Step-by-step explanation: x = 3z and z=2y. By substituting the second equation into the first, we have x = 3 (2y), leading to x = 6y.
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How does the graph of mc024-1.jpg compare to the graph of the parent function mc024-2.jpg?
babunello [11817]
The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
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Solution:
========
The given function ⇒ g(x) = \frac{1}{x-5} +2

The parent function of the provided function ⇒ f(x)= \frac{1}{x}

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
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Thus, the correct answer is option 2
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6 0
2 months ago
Read 2 more answers
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Inessa [12570]

Answer:

The provided radical equation has no solution.

x = 225/16 is not a valid solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Check by substituting the value of x back into the original equation to confirm the extraneous solution.

 

Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.

Consequently, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
2 months ago
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What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?
Inessa [12570]
The least number of times that two planes can cross is zero, since parallel planes do not intersect. A good example would be a floor and a ceiling, which run parallel, hence they do not meet. Conversely, if two planes occupy the same space, they can intersect at infinitely many points, as could happen with a line within that plane.
8 0
3 months ago
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
AnnZ [12381]

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....

7 0
2 months ago
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Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
AnnZ [12381]

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

3 0
3 months ago
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