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sleet_krkn [62]
3 years ago
12

HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Hello, please consider the following.

We will multiply the numerator and denominator by

4+\sqrt{6x}

to get rid of the root in the denominator.

First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.

4-\sqrt{6x} =0\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}

We need to take any x real number different from 8/3 then and simplify the expression.

Let's do it!

\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}

Thank you

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What two numbers multiply to get 40 and add to get 11
Trava [24]
I got the factors of 40 but both numbers do not add up to 11. Negative numbers are not considered because the product and sum are positive numbers.

1 x 40 = 40    1 + 40 = 41
2 x 20 = 40    2 + 20 = 22
4 x 10 = 40    4 + 10 = 14
5 x   8 = 40    5 +   8 = 13

I also got the addends of 11 and solved each set to get the product
1 + 10 = 11    1 x 10 = 10
2 +   9 = 11    2 x   9 = 18
3 +   8 = 11    3 x   8 = 24
4 +   7 = 11    4 x   7 = 28
5 +   6 = 11    5 x   6 = 30
6 0
3 years ago
Following are heights, in inches, for a sample of college basketball players. 78 83 82 78 78 80 81 79 79 83 77 78 84 82 80 80 82
blagie [28]

The mean height of the basketball players is 80.3 inches

For given question,

we have been given the list of heights, in inches, for a sample of college basketball players.

We need to find the mean height of the basketball players.

We know that, for given sample of data

mean = sum of all observations ÷ total number of observation

First we find the sum of given heights.

78 + 83 + 82 + 78 + 78 + 80+ 81 +79+ 79 +83+ 77 +78+ 84+ 82+ 80+ 80 +82+ 84+78+ 80 = 1606

Total number of observations = 20

Using the formula of mean,

⇒ mean height = 1606/20

⇒ mean height = 80.3 inches

Therefore, the mean height of the basketball players is 80.3 inches

Learn more about the mean here:

brainly.com/question/6813742

#SPJ4

3 0
1 year ago
The cost of 25 pounds of bird seed is $44.50. What is the cost for one pound of bird seed
Nimfa-mama [501]
Answer=1.78 Explanation:44.50÷25=1.78
7 0
3 years ago
TRUE OR FALSE: point (1, -1) and (-1, 1) lies in the same quadrant.
earnstyle [38]

Answer:

False.

Step-by-step explanation:

Point (1, -1) is located in Quadrant 4, while point (-1, 1) is in Quadrant 2.

I hope this helps...have a great day! ❤

6 0
3 years ago
Read 2 more answers
A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?
BartSMP [9]

The closest distance up the tree where the wire reaches is 17.93 foot.

<u>Explanation:</u>

Given-

Length of the wire, L = 12 foot

angle, Ф= 48°

Distance upto which the wire reaches the tree, x = ?

We know,

cos Ф = base/ hypotenuse

cos 48° = 12/ x

0.669 = 12/x

x = 17.93 foot

Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.

5 0
3 years ago
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