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3 years ago

Simplify (x^1/2)^1/6 a. x^1/3 b. x^1/4 c. x^1/12 d. x^2/3

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

$(x^{ \frac{1}{2} })^{ \frac{1}{6} }=x^{ \frac{1}{2} * \frac{1}{6} }=x^{ \frac{1}{12} }$

Answer is C.

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One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in orde

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F = 15%
v = 5%
0.15f + 0.05v = 0.14*10
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3f + v = 28
f + v = 10 (total volume)
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3 years ago

The price of an item yesterday was $160 . Today, the price fell to 104 . Find the percentage decrease.

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3 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

PLEASE HELP!! WILL MARK BRAINLY!!

denpristay [2]

Answer:

{4}

Step-by-step explanation:

It is helpful to let a calculator or spreadsheet perform the function evaluations for you. The two functions have the same value only for x=4 in the domain.

f(4) = 13 = g(4)

_____

The functions also have the same value for x=-2, but that is not in the domain given.