Answer:
6 √2 -4 √3
Step-by-step explanation:
Here, we want to rationalize the denominator of the following surdic fraction;
2√6/(√2 + √3)
To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator
The conjugate of the denominator is √2 - √3
So, we have the rationalization as follows;
2 √6(√2-√3)/(√2 + √3)(√2-√3)
Thus, we have
(4√3-6 √2)/(-1)
= 6 √2 -4 √3
5 times n=17 because you have to use algebra
Answer:
Cost of 72 ounces of grapes is $13.5
Step-by-step explanation:
In order to solve his problem, we first need to get all the values in the same units.
1 pound = 16 ounces
∴ 6 pounds= 16×6 = 96 ounces
Now by unitary method, we solve the question as follows:
price of 96 ounces of grapes = $ 18
price of 1 ounce of grapes = $ (18÷96)
∴ price of 72 ounces of grapes = $ [(18÷96)×72]
= (0.1875×72) = $ 13.5
It would be about 4/10 of a gallon
Answer:
g(h(10)) = 43
Step-by-step explanation:
Given: g(x) = 4x – 4 and h(x) = 2x – 8.
We are to find g(h(10))
First we need to get g(h(x))
g(h(x)) = g(2x-8)
Replace x in g(x) with 2x-8 as shown:
g(2x-8) = 4(2x-8)-4
g(2x-8)= 8x-32-5
g(2x-8) = 8x-37
Hence g(h(x)) = 8x-37
g(h(10)) = 8(10)-37
g(h(10)) = 80-37
g(h(10)) = 43
Hence g(h(10)) is 43
