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3 years ago

Solve. the square root of 44-2x = x-10

2 answers:

5 0

44-2x=x-10 subtract 44 from both sides -2x= x-54 subtract x from both sides -3x= -54 divide by -3 x= 18 square root of 18= 4.24 in radical form 3 square root of 2 hope this helps

Elza [17]3 years ago

5 0

Sqrt(44 - 2x) = x - 10
44 - 2x = (x - 10)^2 = x^2 - 20x +100
0 = 1x^2 - 18x + 66
yikes! quadratic formula
ax^2 + bx + c = 0
a = 1
b = -18
c = 66
x = [-b ± sqrt(b^2 - 4ac)]/(2a)
x = [18 ± sqrt((-18)^2 - 4(1)(66))]/(2(1))
x = 12.873 or <span>5.127</span>

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251/4÷(-3/8 what is the answer

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-502/3

Step-by-step explanation:

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2 years ago

Jacob is cutting yarn for a craft project. He needs pieces of yarn that are 12 inches long, but he only has a ruler marked with

lara [203]

Answer:

30.48 centimeters

Step-by-step explanation:

We know that:

2.54 cm = 1 inch

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2.54 x 12 = 30.48

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5 0

3 years ago

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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0

1 year ago

A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots.

andriy [413]

Answer:

$ 1.96

Step-by-step explanation:

Number of spots with outcome of $1 = 9

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Total number of spots = 28

Probability that ball will land on $1 = $\frac{9}{28}$

Probability that ball will land on $2 = $\frac{18}{28}$

Probability that ball will land on $10 = $\frac{1}{28}$

The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.

i.e. for this case:

Expected Value will be:

$(1 \times \frac{9}{28})+(2 \times \frac{18}{28})+(10 \times \frac{1}{28})\\\\ =1.96$

This means, on average the player should expect to win $ 1.96

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3 years ago

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14 fleece jackets can be made

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3 years ago

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