2 years ago

Solve: 4|x| = 32 A. 8 B. 24 C. -8 or 8 D. No solution

Mathematics

1 answer:

kirill [66]2 years ago

5 0

C. -8 or 8

4 |-8| = 4*8 = 32 4 |8| = 4*8 = 32

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Y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.

Mamont248 [21]

Answer:

$a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\$

Step-by-step explanation:

$y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\$

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2 years ago

At a restaurant, 30% of customers donate to charity in exchange for a coupon. Estimate the probability that it will take at leas

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Answer:

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2 years ago

Read 2 more answers

The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

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$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

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The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

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3 years ago

X + 2y = 10 3x + 4y = 8 Which point is the solution to the system of equations?

bija089 [108]

Answer:

x = -12

y = 11

Step-by-step explanation:

i used substitution and let 'x' = 10 - 2y

3(10 - 2y) + 4y = 8

30 - 6y + 4y = 8

30 -2y = 8

-2y = -22

y = 11

x + 2(11) = 10

x + 22 = 10

x = -12

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3 years ago