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3 years ago

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

Mathematics

2 answers:

Vesna [10]3 years ago

4 0

The answer is 12/x-7, x ≠ 7, x ≠ −3

Softa [21]3 years ago

3 0

To simplify the expression stated, it is better to write it in the numerical form. The statement is:

quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x²-4x-21)

Simplifying,
12x+36 / (x²-4x-21)
12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-7)

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IgorC [24]

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Step-by-step explanation:

7 0

2 years ago

Find the mean and the median of this data set: 9, 6, 5, 3, 28, 6, 4, 7

Ugo [173]

Answer:

The means is 8.5 The Median is 6

Step-by-step explanation:

1) to find the mean just Simply add all the numbers together and divided by how many numbers that is giving. (Because you are simply finding the average)

9+6+5+3+28+6+4+7=68

68 divided by 8 = 8.5

2) to find the median simply organize the numbers from least to greatest Like this: (3,4,5,6,6,7,9,28) Then keep crossing out from both sides teal you find the middle Number.

If there a odd amount of number the median will be one Number, if even 2 numbers ( if 2 numbers just add them both and divide by 2)

In This Case the Median is 6,6 but Its actually 6 Why (6+6=12) and (12/2=6) so your median is 6.

Hopes This helps!

8 0

3 years ago

Read 2 more answers

Elena L [17]

Given:

The distance (in kilometers) Dora hiked is modeled as a function of time.

We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.

Average rate of change:

Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.

Thus, the coordinates are (8.30, 4) and (1,12)

The average rate of change can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (8.30, 4) and (1.30,12), we get;

$m=\frac{12-4}{1.30-8.30}$

$m=\frac{8}{-7}$

$m=-1.14$

Rounding off to the nearest whole number, we get;

$m=-1$

Therefore, the average rate of change is -1.

7 0

3 years ago

When 12 is added to a number the result is 32 less than 3 times a number. What is this number?

neonofarm [45]

X - the number

$x+12=3x-32 \\
x-3x=-32-12 \\
-2x=-44 \\
x=\frac{-44}{-2} \\
x=22$

The number is 22.

7 0

2 years ago

Read 2 more answers

Suppose a squad patio has an area of 441 square feet. Use the formula for the area of a square to find the length of each side o

Sonja [21]

For a square: $A=s^{2}$

Solve for the length of a side by taking the square root of both sides:
$\sqrt{A}=\sqrt{s^{2}}$
$\sqrt{A}=s$

Now we can substitute known values:
$s=\sqrt{A}$
$s=\sqrt{441ft^{2}}$
$s=21ft$

8 0

3 years ago