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Factor completely. x2−2x−24 Enter your answer in the box.

ankoles [38]

Answer:

x = -4

x = 6

Step-by-step explanation:

x² - 2x -24 = 0

x² - 6x + 4x - 24 = 0

x ( x - 6 ) + 4 ( x - 6) = 0

x + 4 and x- 6

so either of them is zero so values if x are

X = -4

X = 6

7 0

3 years ago

Questions in the picture

IrinaVladis [17]

By constructing and solving the profit equation for the cuckoo clock sales, we conclude that the sales of 30 clock will make a profit of $ 4250

<h3>How to determine the monthly profit by the cuckoo clock sales</h3>

The profit (P) is the result of subtracting costs from sales (S). Cost (Cp) is the sum of rent (C) and production cost (C'). Now we proceed to create and solve the expression:

P = S - C - C'

P = 500 · x - 275 · x - 2500

P = 225 · x - 2500

P = 225 · 30 - 2500

P = 4250

By constructing and solving the profit equation for the cuckoo clock sales, we conclude that the sales of 30 clock will make a profit of $ 4250.

To learn more on profits: brainly.com/question/13716014

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6 0

2 years ago

Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5x+3y=22 Select each correct answer

IRISSAK [1]

(7,19) is a solution for only the first equation (2x-y= -5), so it is not a solution to the system.
2x-y=-5 we substitute the x and y for 7, and 19 making the equation 2 x 7-19, 2 x 7 is 14 so we then put the 14 and 19 together, 14-19, and 14-19 is equal to -5 so the first equation is true. For the second equation which is x+3y=22 we do the same thing as the first equation, we substitute x and y for 7, and 19, substituting these numbers in we get 7+3 x 19, 3 x 19 is 57, so 7+57, which equals 64 and is no where near 22. So, the ordered pair (7,19) is a solution to the first equation because, it makes the first equation true, and the ordered pair (7,19) is not a solution to the system because, it makes at least one of the equations false.

7 0

3 years ago

Read 2 more answers

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the l

Angelina_Jolie [31]

Answer:

(1)

$E(x) = 0.72$

$Var(x) = 1.1616$

$\sigma = 1.078$

(2)

$E(x) = 12$

$Var(x) = 1.3$

$\sigma = 1.14$

Step-by-step explanation:

Solving (1):

$\begin{array}{ccccccc}{Days} & {0} & {1} & {2} & {3} & {4}& {5} \ \\ {Probability} & {0.60} & {0.20} & {0.12} & {0.04} & {0.04} & {0.00} \ \end{array}$