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vaieri [72.5K]
2 years ago
9

Can someone please factor this expression 27/x³- 8​

Mathematics
2 answers:
almond37 [142]2 years ago
6 0

Answer:

(3x-2) (9xsquare+6x+4)

NISA [10]2 years ago
4 0

Answer:

Answer is below

Step-by-step explanation:

\frac{27}{x^{3} } -8= (\frac{3}{x})^{3}  -2^{3} =(\frac{3}{x}  -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)

(  from formula (a³ – b³) = (a – b)(a² + b² + ab)  )

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Mary earns $25 per hour at her job. Next month, she will receive a 10% raise. Complete the two expressions that represent how mu
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In the 2nd blank, the answer is 2.5 because on the top, it's 0.1*25, which equals 2.5, and 2.5 is the raise. All you have to do is multiply 10%, or 0.1, by 25, and you get 2.5.

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
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