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2 years ago

What number needs to be added to both sides of the equation in order to complete the square?

Mathematics

2 answers:

IRISSAK [1]2 years ago

8 0

Answer:

Step-by-step explanation:

The formula for the whole square is

$\left ( a+b \right )^2=a^{2}+2ab+b^{2}$

So, to make the complete square, in the expression

$x^{2}+14x = - 32$

First take half of the term 14 x that is 7x and then divide it by x so it is 7. Now take its square that is 49. So add 49 on both the sides to make the given expression as a whole square.

Sever21 [200]2 years ago

5 0

x^2+14x = (x+7)^2

7^2 = 49

so you would add 49 to both sides

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For a football fundraiser, the booster club sold $8 nahos at the homecoming pep rally. In the last 30 minutes they wanted to sel

Nuetrik [128]

Answer:

Percent markdown from 8$ to 5$ is 37.5%

Step-by-step explanation:

Given that the booster club is selling nahos at $8 price and in last 30 minutes to sell as many as possible, they lowered the price to 5$.

Percent mark down= $\frac{decrease in price}{original price} X100$

$=\frac{8-5}{8} X100=\frac{3}{8}X100$

$=37.5$

Hence percent markdown from 8$ to 5$ is 37.5%

3 0

2 years ago

What is the factored expression of 63x^2-3x-6

Murljashka [212]

Answer:

$3(3x-1)(7x +2)$

Step-by-step explanation:

$63x^2-3x-6$

Suppose a generic quadratic equation

$ax^2 + bx + c$

To factor this equation, I need to find its roots. Then we use the quadratic formula of:

$\frac{-b + \sqrt{b^2-4ac}}{2a}$

and

$\frac{-b + \sqrt{b^2-4ac}}{2a}$

So, for the equation 63x ^ 2-3x-6 we have:

$\frac{3 + \sqrt{(-3)^2-4(63)(-6)}}{2(63)} = \frac{1}{3}$

and

$\frac{3 - \sqrt{(-3)^2-4(63)(-6)}}{2(63)} = \frac{-2}{7}$

So:

$(x-\frac{1}{3}) = 0\\\\(3x-1) = 0$

and

$(x - (-\frac{2}{7})) = 0\\\\(x+ \frac{2}{7}) = 0\\\\(7x +2) = 0$

Finally the polynomial is:

$(3x-1)(7x +2)$

6 0

2 years ago

What is15 qt/h= gal min

Brilliant_brown [7]

we have

$15 \frac{qt}{h}$

we know that

1 quarter is equal to 0.25 gallon

1 hour is equal to 60 minutes

convert $\frac{qt}{h}$ to $\frac{gal}{min}$

$15 \frac{qt}{h} =15* \frac{0.25}{60} = 0.0625\frac{gal}{min}$

therefore

the answer is

$0.0625\frac{gal}{min}$

5 0

2 years ago

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Worth 10pts can someone help?

dusya [7]

Answer:

y = -x+2

Step-by-step explanation:

The y intercept is 2

The slope is found by using 2 point

I picked (0,2) and (2,0)

m = ( y2-y1)/(x2-x1)

= ( 0-2)/(2-0)

= -2/2 = -1

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -1x+2

y = -x+2

5 0

2 years ago

56x7 divided by 10 will give 15 ppoints

Flura [38]

Answer:

39.2

Step-by-step explanation:

56 × 7 = 392

392 / 10 = 39.2

3 0

2 years ago

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