Once a hot-air balloon reached its highest point, it dropped 25 feet. Then five minutes later, it dropped another 13 feet. Find
1 answer:
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Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for .
Solution:
The rule represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
Using this rule, we get
Therefore, the vertices for are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!
Answer:
See explanation
Step-by-step explanation:
A. Gasoline fill-up fee = $4.50
Cost per hour = $40
Average cost = C
Number of hours the scootcar is rented = h
Cost per h hours = $40h
Total cost = $40h + $4.50
Hence,
C = 40h+4.5
B. To plot the graph of the function, find h- and C- intercepts.
When h = 0, then C = 4.5, and we have point (0,4.5)
When C = 0, then 0 = 40h + 4.5, h = -45/400 = -0.1125, and we have point (-0.1125,0)
Plot these two points and connect them with a straight line.
Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative
