All categories

3 years ago

A clear explanation of how to solve the equation below would be appreciated.

Mathematics

1 answer:

Orlov [11]3 years ago

4 0

The solution of equation is: x=-7/2

Step-by-step explanation:

Given equation is:

$5-\sqrt{2x+8}=4$

first of all, we have to simplify the equation

so,

Subtracting 5 from both sides

$5-5-\sqrt{2x+8}=4-5\\-\sqrt{2x+8}=-1$

Dividing both sides by -1

$\frac{-\sqrt{2x+8}}{-1}=\frac{-1}{-1}\\\sqrt{2x+8}=1\\$

Taking square on both sides

$(\sqrt{2x+8})^2=(1)^2$

$2x+8=1$

Subtracting 8 from both sides

$2x+8-8=1-8\\2x=-7$

dividing both sides by 2

$\frac{2x}{2}=-\frac{7}{2}\\x=\frac{7}{2}$

the solution of equation is: x=-7/2

Keywords: Equations, Radicals

Learn more about equations at:

#LearnwithBrainly

You might be interested in

Solve for x: |2x+6| -4 = 20

Bingel [31]

|2x + 6| - 4 = 20

First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x = $\frac{18}{2}$
Simplify $\frac{18}{2}$ to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x = $\frac{30}{-2}$
Simplify $\frac{30}{-2}$ to $- \frac{30}{2}$ / Your problem should look like: x = $-\frac{30}{2}$
Simplify $\frac{30}{2}$ to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9

Answer: x = -15, 9 (C)

4 0

4 years ago

Suppose the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately n

Irina-Kira [14]

Answer: 0.0475

Step-by-step explanation:

Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: $\mu=85,\ \ \sigma=9$

The probability that a given 1-ml will contain more than 100 bacteria will be:

$P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z$

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

3 0

3 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

inessss [21]

Step-by-step explanation:

$a_1=6\\a_2=a_1+1\to a_2=6+1=7\\a_3=a_2+1\to a_3=7+1=8\\a_4=a_3+1\to a_4=8+1=9\\\vdots\\\\\text{The recursive formula}\\a_n=\left\{\begin{array}{ccc}a_1=6\\a_n=a_{n-1}+1\end{array}\right\\\\\text{It's an arithmetic sequence with}\ a_1=6\ \text{and difference}\ d=1\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=6+(n-1)(1)\\a_n=6+n-1\\a_n=5+n\\\\a_n=n+5$

5 0

3 years ago

You mix the letters A, C, Q, U, A, I, N, T, A, N, C, E throughly. Without looking you select one letter. Find the probability of

kvv77 [185]

1. 1/12
2. 3/12
3. 6/12
4. 2/12

4 0

3 years ago

What are the coordinates of point B in the diagram?

shusha [124]

Might be A, I don’t know.

6 0

3 years ago