Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form

. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.

In the denominator we have a difference of squares:

Now we can rewrite our function:

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at

and
We can conclude that the graphic of our rational function is:
<h3>Given</h3>
new balance = previous balance + finance charge + purchases - payments
previous balance = $34.80
finance charge = $0.75
purchases = $83.21
payments = $5.50
<h3>Find</h3>
new balance
<h3>Solution</h3>
Fill in the given information and do the arithmetic.
... new balance = previous balance + finance charge + purchases - payments
... new balance = $34.80 + 0.75 + 83.21 - 5.50
... new balance = $113.26 . . . . matches the 2nd choice
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times 2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24
5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24
now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48
answer is 7/48
Answer:
This equation has one solution so given statement is true.
Step-by-step explanation:
7a +4 – 2a = 7a + (-20)+4
5a + 4 = 7a - 16
5a - 7a = -16 - 4
- 2a = - 20
a = 10
This equation has one solution so given statement is true.
The Answer is 3 + 4 = 8 - 1