Which expression is equivalent to StartRoot StartFraction 8 Over x Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-
1 answer:
You might be interested in
Amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. The cost for nachos was $5. The cost for each beverage was half the cost of the nachos
Let x be the number of nachos and y be the number of beverages
The cost for nachos was $5. So the cost of 'x' nachos = 5x
The cost for each beverage was half the cost of the nachos.
The cost of each beverage =
so the cost of y beverage = 2.5 y
Cost of x nachos + cost of y beverage = total amount spend
5x + 2.5y = 30
Now we find x and y intercept
When Amy does not buy any beverages we put y=0
5x + 2.5(0) = 30
5x = 30
x= 6. The x intercept is (6,0)
When Amy does not buy any nachos we put x=0
5(0) + 2.5y = 30
2.5y = 30
y=12. The y intercept is (0,12)
The graph is attached below
(b) The graph is a straight line. From the graph we can see that when Amy does not buy any nachos then she can spend #30 to buy 12 beverages .
when Amy does not buy any beverages then she can spend #30 to buy 6 nachos.
Answer: Approximately 22.62 degrees
===============================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(y) = 12/13
y = arccos(12/13)
y = 22.6198649
y = 22.62
Notes:
- Arccosine is the same as inverse cosine. On your calculator there should be a button labeled
- Make sure your calculator is in degree mode
- The decimal result for y, shown above, is approximate. I rounded to two decimal places to show the final answer. Round however you need to if your teacher instructs otherwise.