Answer:
3√3
Step-by-step explanation:
For the problem shown here, your answer 3√3 is correct.
When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:

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If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.
<u>Example</u>:

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It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.
9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.
Please discuss this question with your teacher.
Answer:
$3.75
Step-by-step explanation:
dimes= x
quarters= x+2
nickels= 2x+2
sum is 3.75
.10x+.25(x+2)+0.05(2x+2)=3.75
.10x+.25x+.50+0.10x+0.10=3.75
0.45x=3.15
x=7 dimes (0.70)
x+2=9 quarters (2.25)
2x+2=16 nickels (0.80)
They add to $3.75
Answer:
A maximum of 43 students and 11 teachers can go to the trip.
Step-by-step explanation:
Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:
4 + 1 = 5
54/5 = X
10.8 = X
10 x 4 = 40
10 x 1 = 10
4 - 1 = 3
Therefore, a maximum of 43 students and 11 teachers can go to the trip.
Answer:

Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:

* Solve the equation for x.
Multiply by 3x-1

Divide by y:

Sum 1:

Operate the right side:

Divide by 3:

* Swap the variables:

Write back into function form:
