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IRINA_888 [86]
3 years ago
15

Simplify by factoring. What are the excluded values? Choose all that apply.

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

x = -2

x = 8

Step-by-step explanation:

Excluded values are the ones which make the denominator zero

3x² + x - 10

3x² + 6x - 5x - 10

3x(x + 2) - 5(x + 2)

(x + 2)(3x - 5)

x² - 6x - 16

x² - 8x + 2x - 16

x(x - 8) + 2(x - 8)

(x - 8)(x + 2)

[(x + 2)(3x - 5)] ÷ [(x - 8)(x + 2)]

(3x - 5)/(x - 8)

So excluded values are 8, -2

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AleksandrR [38]

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3 years ago
The average monthly mortgage payment including principal and interest is $982 in the united states. if the standard deviation is
Aleonysh [2.5K]
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
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5 0
3 years ago
A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with water. Find the work required to pump all the water
Oduvanchick [21]

Answer:

130.826 kilojoules

Step-by-step explanation:

The Work required to pump water = pgV

Where, p = density of water = 1000 kg/m³

g = acceleration due to gravity = 9.81ms-¹

V = volume of water

Since, radius r = 5 ft and height h = 9ft

Volume of water in the cylindrical tank = (2/3)πr²h

V = (2/3)π *5²*9 = 471.24 ft³ = 471.24 * 0.0283m³ = 13.336m³

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W = 130.826 KJ

Therefore, the work required to pump water 2/3 of the volume of the cylindrical tank = 130.826 kilojoules.

4 0
3 years ago
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