Question 1
It won't be completely simplified, because 8 can be factored further, so I would say the answer is "no"
A much better factorization would be
sqrt(72) = sqrt(36*2)
since 36 is the largest perfect square factor of 72
If you're curious how it simplifies, then it would do so like this
sqrt(72) = sqrt(36*2)
sqrt(72) = sqrt(36)*sqrt(2)
sqrt(72) = 6*sqrt(2)
Note: "sqrt" is shorthand for "square root"
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Question 2
For monomials like this, we simply cut the exponent in half, or we divide by 2.
28/2 = 14
Therefore, sqrt(x^28) = x^14
The given expression simplifies to x^14
The first step is to calculate the total number of pizza slices there are.
We know each slice is 1/8 of the pizza. (think of 1/8 as 1 out of 8 pieces)
This means each pizza has 8 slices.
There are 3 pizzas so there are 8 x 3 = 24 slices total
Next we want to figure how many slices of pizza they ate which will help us figure out how many are left.
They ate 3/4 of the pizza, so in other words only 1/4 of the pizza is left.
In order to figure out how many slices are left, all we need to do is find out what 1/4 of the total number of slices are.
# of slices left = Total number of slices x 1/4 (1/4 of the pizza is left)
# of slices left = 24 x 1/4 = 24÷4 = 6
This means there are 6 slices of pizza left.
2 5/16 divided 7/8
Simplify
(37/16) / (7/8)
When dividing by a fraction flip over the fraction and multiply
(37/16) * (8/7)
Multiply numerators, multiply denominators
296 / 112
Reduce the fraction
37/14
=2 9/14 <------------- answer
Answer: Choice A
The domain is the set {-5, -3, 1, 2, 6} which can be written as {x| x=-5, -3, 1, 2, 6} if you want to make it clear that x is involved with the domain.
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Explanation:
The domain is the set of x values, or the set of inputs, of a function or relation. All you have to do is list off the values in the "input" oval. Those values from top to bottom are: -3, 2, -5, 1, 6. Sort them out from smallest to largest and you get -5, -3, 1, 2, 6 which points us to choice A.
Another route you could go is eliminating choices B, C and D because -9 is not in the "input" oval.
Answer:
b
Step-by-step explanation:
