The simplified expression by rationalizing the denominator is (C)
.First we must simplify the expression:

Then we factor the rational parts and cancel it out:

Then we rationalize the expression:

<span>Finally, the simplified expression by rationalizing the denominator is (C)

.</span>
Answer:
2^6
Step-by-step explanation:
2*2*2*2*2*2
There are six 2's multiplied together so the base is 2 and the exponent is 6
2^6
Step-by-step explanation:
Equations:
Quantity:: d = n + 3
Value::: 10n + 5d = 615 cents
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Modify::
d - n = 3
d + 2n = 123
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Subtract and solve for "n"::
3n = 120
n = 40 (# of nickels)
d = n+3 = 43 (# of dimes)
Jack should remove the maximum and minimum weight potatoes from the average weight of the potatoes to compensate for the extremes. Therefore, we are left with a data set of:
8, 9, 11, 7, 7, 8, 9, 7; so n = 8
The sum of these is 66
The average weight of each potato is:
66/8
= 8 ounces
Step-by-step explanation:
—x intercept, y = 0
y = 1/2 x + 2
0 = 1/2 x + 2
-2 = 1/2 x
-2.2 = x
-4 = x
X intercept = (-4 , 0)
—y intercept, x = 0
y = 1/2 x + 2
y = 1/2 . 0 + 2
y = 0 + 2
y = 2
Y intercept = (0 , 2)
Graph in the picture :)