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Dmitry [639]
3 years ago
13

Given: x + 2 < -5. Choose the solution set.

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

<em><u>Answer:</u></em>

<em>x< −7</em>

<em><u>Step-by-step explanation:</u></em>

<em><u>Rearrange:</u></em>

<em>Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :</em>

<em></em>

<em>                     x+2-(-5)<0 </em>

<em></em>

<em><u>Step by step solution :</u></em>

<em><u>STEP 1:</u></em>

<em><u></u></em>

<em><u>Solve Basic Inequality :</u></em>

<em> 1.1      Subtract  7  from both sides</em>

<em></em>

<em>            x < -7</em>

<em></em>

<em><u>Inequality Plot :</u></em>

<em> 1.2      Inequality plot for</em>

<em></em>

<em>         x  + 7.000  <  0</em>

OLEGan [10]3 years ago
4 0

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

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Answer:

12.5

Step-by-step explanation:

6 0
3 years ago
What is 1234567890987654321234567890987654321234567890x987654321234567890987654321234567890
ValentinkaMS [17]
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3 0
3 years ago
There are 10 coins in a jar. some are dimes and the rest are nickels. the coins are worth a total of 70 cents. which system of e
Elenna [48]
Eg. d stands for the number of dimes, n stands for the number of nickels
a dime worth 10 cents, 1 nickel worth 5 cents

The equation for "There are 10 coins in a jar" is
d + n = 10

The equation for "The coins are worth a total of 70 cents" is
10d + 5n = 70
8 0
4 years ago
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
agasfer [191]

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

<h3>What is Standard deviation?</h3>

The standard deviation serves as a gauge for the degree of variation or dispersion among a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

With a standard deviation of $24,500 and an average mortgage debt of $306,500, Americans have a median mortgage debt.

<h3>According to the given information:</h3>

The population's average is

μ = 306,500

Standard deviation for the general population is

σ = 24500

Imagine 150 Americans are chosen at random for the sample.

n= 150

The sample mean is roughly normally distributed as a result of the high sample size, which is supported by the central limit theorem.

The population mean and sample mean would be the same,

μ_n = μ =306,500

Here is how to calculate the sample standard deviation:

\sigma_{x}=\frac{\sigma}{\sqrt{n}}

the sample size is n, and is the population standard deviation.

\begin{aligned}&\sigma_{x}=\frac{24,500}{\sqrt{150}} \\&\sigma_{x}=\$ 2,000\end{aligned}

The necessary conditions are thus:

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

To know more about Standard deviation visit:

brainly.com/question/16965372

#SPJ4

I understand that the question you are looking for is :

A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:

1.1.  $mu=?\\2. $sigma=?\\3. $=n=$\\4. $mu_{overlinex}=$x=?\\5. $sigma_{overlinex}=$x=?

4 0
2 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
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