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Harrizon [31]
3 years ago
7

Simplify completely

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer: x+2 / x+ 9, x = -2, x=-9   ( A )

Solution:

Breakdown the problem into two sets

Step 1:  simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24  >>>>  (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3:   (x + 2)  (x - 12)

Step 4: Step 1:  simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>>  take common x(x-12) + 9 ( x -12) >>>

(x + 9)  (x - 12) final product

Now, Simplify the equation as a whole

 (x + 2)  (x - 12) /  (x + 9)  (x - 12)                         Note:  (x - 12) cancels out  

=  (x + 2) /  (x + 9)     with x= -2 and x= -9

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Answer:

The estimated probability that Ginger will eat a a pizza everyday of the week is;

D. 8/10 = 80%

Step-by-step explanation:

The given parameters are;

The frequency with which Ginger buys launch = Everyday

The percentage of the time the cafeteria has pizza out = 80%

The outcome of 0 and 1 = No pizza available

The outcome of 2, 3, 4, 5, 6, 7, 8, and 9 = Pizza available

Therefore, we have the;

Group number  {}                          Percentage of time pizza available

1                     {}                          80%

2                     {}                          80%

3                     {}                          80%

4                     {}                          80%

5                     {}                          40%

6                     {}                          100%

7                     {}                          80%

8                     {}                          100%

9                     {}                          80%

10                     {}                          80%

Therefore, the sum of the percentages outcome the days Ginger eats pizza = 0.8 + 0.8 + 0.8 + 0.8 + 0.4 + 1 + 0.8 + 1 + 0.8 + 0.8 = 8

The number of runs of simulation = 10 runs

The estimated probability that Ginger will eat a a pizza everyday of the week = (The sum of the percentages outcome the days Ginger eats pizza)/(The number of runs of simulation)

∴ The estimated probability that Ginger will eat a a pizza everyday of the week = 8/10

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