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3 years ago

Which of the following inequalities have -8 in its solution set?

1 answer:

3 0

To determine when -8 is a solution, you will replace each variable with -8 and see which statements are true.

A. x + 4, -8 + 4 = -4, this is not in between 0 and 1
B. x - 3, -8 - 3 = -11, not between -5 and 2
C. 8x + 7, 8(-8) + 7 = -57 is not between -1 and 1
D. 3x, 3(-8) = -24 is equal to -24, so this one is true

A. 5x, 5(-6) = -30 is not less than -35 or greater than 35
B. 3x - 2, 3(-6) - 2 = -20 is not between -5 and 1
C. 3x + 5, 3(-6) + 5 = -13 is between -16 and 11
D. x - 5, -6 - 5 = -11 is not between -8 and 3

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Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it

uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

Solution:

Let "x" be the number of days it takes person A to paint the house

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Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get the rate working together

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2 years ago

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Solve for x on the interval [0, 2pi] Sinx = cosx + 1

lisov135 [29]

Answer:

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

Hence the value of x = π

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