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3 years ago

Solve the quadratic equation for x. What is the product when the roots are multiplied? (x + 2)2 = 1 A) −3 B) −6 C) −9 D) 3

Mathematics

1 answer:

ehidna [41]3 years ago

8 0

Answer:

Step-by-step explanation:

To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allows x to be isolated. The inverse operation is the square root. This is called the square root property of equality.

(x + 2)² = 1

√(x+2)² = √1

(x+2) = ±1

x = 1 -2 and x = -1 - 2

x = -1 and x = -3

The product of the roots -1 and -3 is -1*-3 = 3

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Answer:

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3 years ago

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Answer:

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3 years ago

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Read 2 more answers

If enrollment increases by approximately the same

Tanya [424]

Given:

The enrollment increases by approximately the same percentage between 2000 and 2010 as it decreased between 1950 and 1960.

To find:

The expected enrollment in 2010.

Solution:

Percentage decrease formula:

$\%\text{ decrease}=\dfrac{\text{Initial value - New value}}{\text{Initial value}}\times 100$

The percentage decrease in between 1950 and 1960 is:

$\%\text{ decrease}=\dfrac{4-3.5}{4}\times 100$

$\%\text{ decrease}=\dfrac{0.5}{4}\times 100$

$\%\text{ decrease}=\dfrac{50}{4}$

$\%\text{ decrease}=12.5$

The enrollment decreased by 12.5% between 1950 and 1960. So, the enrollment increases by 12.5% between 2000 and 2010.

The expected enrollment in 2010 is:

$\text{Expected enrollment}=7+\dfrac{12.5}{100}\times 7$

$\text{Expected enrollment}=7+0.875$

$\text{Expected enrollment}=7.875$

Therefore, the expected enrollment in 2010 is 7.875 thousands.

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3 years ago