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Ad libitum [116K]
2 years ago
11

Which of the following correctly completes the square for the equation

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

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Hello,

Answer B

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3 years ago
As part of a company incentive, each sales person that sells over \$40{,}000$40,000dollar sign, 40, comma, 000 in merchandise th
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Answer:

$58,600

Step-by-step explanation:

Data provided in the question:

Commission on Sales upto and including $40,000 = 5%

Commission on Sales above $40,000 = 10%

Total commission = $3,860

Now,

For sales of $40,000

maximum commission = 5% of $40,000

= $2,000

Since the commission received is greater than $2,000

Therefore,

The value of s is greater than $40,000

Thus

Amount qualifying for 10% commission = s - $40,000

therefore,

Total commission = $2,000 + 10% of (s - $40,000)

or

$3,860 =  $2,000 + 0.10 × (s - $40,000)

or

$1,860 = 0.10 × (s - $40,000)

or

s - $40,000 = $18,600

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s = $18,600 + $40,000

or

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4 0
3 years ago
Read 2 more answers
Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year
Alex

Answer: 3.2 tons

Step-by-step explanation:

We know that 1 ton = 2000 pound

Then , \text{1 pound}=\dfrac{1}{2000}\text{ ton}

Given : Mustafa’s horse ate 6,400 pounds of hay last year.

Then, the number of tons of hay his horse ate last year is given by :-

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Therefore, the  number of tons of hay his horse ate last year = 3.2 tons

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3 years ago
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144x12= 1728
 -----------------------------------
6 0
3 years ago
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