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Ad libitum [116K]
3 years ago
11

Which of the following correctly completes the square for the equation

Mathematics
1 answer:
rjkz [21]3 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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Which of the following is a true statement?
Nikolay [14]

Answer:

The last choice: 68/5 - 22/5 = 9 1/5

Step-by-step explanation:

Solve each problem:

9 3/7 = 10 3/7

The fractions are the same so look at the whole numbers.

Does 9 equal 10? No, it doesn't so this is a false statement.

332/4 = 1/83

Simplify 332/4:

332/4 = 83/1

83 does not equal 1/83 so this is a false statement.

37/5 = 5 2/5

Convert the improper fraction into a mixed number:

7 2/5 = 5 2/5

These numbers do not equal each other so this is a false.

68/5 - 22/5 = 9 1/5

Subtract the numerators on the left side of the equation:

46/5 = 9 1/5

Convert the improper fraction into a mixed number:

9 1/5 = 9 1/5

These numbers equal each other so this is a true statement!

3 0
3 years ago
How would you solve this problem?<br><br> ((2x^12y^3)/(x^10y))^-5
Hatshy [7]
There is no equals sign. Are we looking for x, or y?

Either way, with the -5 exponent outside the parentheses, you can multiply that to each exponent in the fraction to get rid of it.

I'm not sure what you mean by 2x^12y^3. Is it an exponent within another exponent?
7 0
3 years ago
14% of 60 million gallons is how many gallons?
vichka [17]

Answer:

840,000,0

Step-by-step explanation:

3 0
3 years ago
What is the probability that a 44% free throw shooter will miss her next free throw?
stellarik [79]
The probability is 56/100 or 56%. Because they only got 44% of their previous throws, the probability that they'll miss the next one is 56%.
3 0
3 years ago
Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red br
Alekssandra [29.7K]

It is given in the question that

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.

Maximum she can spend is $200. That is

0.45x + 0.58y \leq 200&#10;\\  y< \frac{1}{2} x

And

x\geq 0 , y \geq 0

And that's the required inequalities .

7 0
3 years ago
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