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3 years ago

What is the prime factorization of 40 written in exponential form

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

The prime factorization of 40 is 2 x 2 x 2 x 5.

Step-by-step explanation:

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What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 =−xsquare root of, x, plus, 2, end square root, equals

NARA [144]

Answer:

$x = 2$ or $x = -1$

Step-by-step explanation:

Given

$\sqrt{x + 2}= {-x}$

Required

Find the possible values fo x

$\sqrt{x + 2}= {-x}$

Square both sides

$( \sqrt{x + 2})^2= ({-x})^2$

$x + 2 = x^2$

Equate to 0

$x^2 - x - 2 = 0$

Expand

$x^2 + x -2x - 2 = 0$

Factorize:

$x(x + 1) - 2(x + 1) = 0$

$(x -2)(x +1) = 0$

Split:

$x - 2 = 0$ or $x + 1 = 0$

$x = 2 + 0$ or $x = 0-1$

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3 0

3 years ago

Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her $8.47 per hour, while her job giving p

lorasvet [3.4K]

Answer:

she worked 9 hours at sporting goods store and 6 hours on piano lessons.

Step-by-step explanation:

total hours=15

8.47x + 17(15-x) = 178.23

8.47x + 225 - 17x = 178.23

225 - 178.23 = 17x - 8.47x

76.77 = 8.53x

x = 76.77 / 8.53

x = 9

therefore she worked 9 hours at sporting goods centre and the remaining hours (15-9) giving piano lessons.

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3 years ago

Y=2x+1<br>y=4x-5<br><br>please help

levacccp [35]

The point of intersection would be (3, 7)

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