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Ymorist [56]
3 years ago
6

What's the answer to 1/2(x+4)^2-5+=3.

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

x = 0

Step-by-step explanation:

To solve this equation you would need to get x by itself on one side

1/2 (x+4)^2 - 5 = 3

1.) add 5 to both sides

1/2 (x+4)^2 = 8

2.) divide each side by 1/2

(x+4)^2 = 16

3.) find the square root of both sides

(x+4) = 4

4.) subtract 4 from both sides

x = 0

The app "Photomath" is a great way to solve problems like these and it gives a step by step explanation that might be easier to understand than mine :)

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dlinn [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=-5\\ n=10\\ a_{10}=13 \end{cases} \\\\\\ a_{10}=a_1+(10-1)d\implies 13=-5+(10-1)d \\\\\\ 13=-5+9d\implies 18=9d\implies \cfrac{18}{9}=d\implies \boxed{2=d}

7 0
3 years ago
The number of employees for a certain company has been decreasing each year by 3%. If the company currently has 810 employees an
8090 [49]

Answer:

219 employees

Step-by-step explanation:

3% of decreasing rate of employees per year is calculated thus:

3\% \: of \: 810 \: employees

=  \frac{3}{100}  \times 810

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In 9 years,

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Therefore, the number of employees for a certain company where decreasing rate of employees is 3% and continued to decrease for 9 years; and 810 employees are currently working is 219 employees. By implication, 810 + 219 = 1029 employees were working in the company 9 years ago.

6 0
2 years ago
What number makes the equation true? Enter the answer in the box
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Answer:

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Explanation:

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Step-by-step explanation:

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