For this case we have the following expression:
(-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
We can rewrite the expression using properties of exponents.
We have then:
(-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
Rewriting we have:
(-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
(-1/2) * ((a ^ 4) (b ^ 7))
-1 / 2a ^ 4b ^ 7
Answer:
The exponent of the variable b in Marina's solution should be 7
I'm pretty sure the answer to A would be this: the common point that satisfies both equations (where they intersect) can be shown AS 4^(-x) = 8^(-x-1).
The answer to B is forming a table. This is quite easier than you think :D.
Start with x on one side (3) and go all the way down to -3 like this:
(x) 4^-x 8^-x-1
-3 64 (Do the same with this)
-2 16
-1 4
0 1
1 1/4
2 .0625
3 .015625
So basically you just fill in the x variable with every number between 3 and -3. After that, it's just a bit of math and you've done it!
C is a bit misguided. I think it would be quite simple to just use a graphing calculator, but you would have to actually input all the x and y values from the table. After that, you will have a graph.
I hope I helped! Good luck and good day!
Answer:
$61.11
Step-by-step explanation:
When the price of something has a certain percent added to it, you can first convert that percentage to a decimal and then add 1, since 1 is the original price. Therefore, we can set up the following equation:
48.50*1.05*1.20=$61.11
Hope this helps!
<span>in the 1st month, the accrued interest is ___ (1/12) * .0525 * 135400
subtract the interest from the payment to find the change in the principal for the 2nd month
find the 2nd month's interest and subtract from the payment to find the amount applied to principal</span>
Answer:
sec(x) = 1.15
Step-by-step explanation:
We can figure out what x is by using the arctan(x) function:
So, now let's figure out the cos(x) as sec(x) is equal to the reciprocal of cos(x):
Let's take the reciprocal:
And that's your answer.
