Step-by-step explanation:
which expression there is no expression here
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
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83
83+2 is 85
so the product is the two numbers multiplied together which is 166</span>
<h3>
Answer: 155 inches</h3>
This is equivalent to approximately 12.917 feet.
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Work Shown:
(10 inches)/(2 days) = (x inches)/(31 days)
10/2 = x/31
10*31 = 2*x ... cross multiply
310 = 2x
2x = 310
x = 310/2
x = 155
Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.
Note: 155 inches = 155/12 = 12.917 feet approximately.
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Alternative method:
If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.
Multiply that by 31 days and we get 5*31 = 155 inches of total rain.
