Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
Answer:
Jogging = 10 hours
Swimming = 7 hours
Cycling = 3 hours
Step-by-step explanation:
J = Hours jogging
S = Hours swimming
C = Hours cycling
Since jogging is the activity that burns the most calories, we should maximize the number of hours jogging:
Therefore, the man should jog for 10 hours.
Since swimming is the activity that burns the second most calories, we should maximize swimming hours:
In order to maximize the number of calories burn, the man should go jogging for 10 hours, swimming for 7 hours and cycling for 3 hours.
Answer:
the first one
Step-by-step explanation:
In order to solve that, let's call 845 100%, as we're solving it terms of 845. 845 is 100%, then it follows that 8.45 is 1%.
Now we can see how many 8.45's go into 608, which comes out to 71.95266...%, which can be rounded nicely to 72%
The million doesn't matter.
The area is 40in.
all you need to do is multiply all the numbers together.
8x5=40 so you area is 40in