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crimeas [40]
2 years ago
6

Please help me simplify the expression and please show work!!! <3

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0

Step-by-step explanation:

\frac{x + 4}{3 {x}^{2}   - 12x - 96}  =  \frac{x + 4}{3( {x}^{2} - 4x - 32) }  =  \frac{x + 4}{3(x - 8)(x + 4)}

=  \frac{1}{3(x - 8)}  =  \frac{1}{3x - 24}

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On a map 1/4 inch = 50 miles. If two cities appear 3 inches apart, how many
Mumz [18]

Answer:

Step-by-step explanation:

3⅛ inches × (50 miles)/(¼ inch) = 625 miles

4 0
2 years ago
What is the compund interest on 5,000 over 3 years at 5% interest
Katena32 [7]

Answer:

788.13  to the nearest hundredth.

Step-by-step explanation:

Let A be the total amount in the account after 3 years.

The formula is A = P(1 + x/100)^t .

Here P = 5000, x = 5 %  and the time t = 3. years.  

Amount after 3 years = 5000(1 + 5/100)^3

=  5788.13

So the Interest is 5788.13 - 5000

= 788.13.

8 0
3 years ago
Read 2 more answers
1. Given the following relation, determine the inverse relation.
gayaneshka [121]

Answer:

1. a

2. f^{-1} (x)=\frac{x}{2} +2

Step-by-step explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

f^{-1} (x)=\frac{x}{2} +2

5 0
2 years ago
- A contractor plans to build a rectangular office complex. The floor area on the first floor of the
Neko [114]

Answer:

Width = 30

Step-by-step explanation:

Area = 18x * 10y = 180xy

Length = 6xy

Width = ?

Since the shape of the office complex is a rectangle,

Area of a rectangle = length × width

180xy = 6xy × width

Width = 180xy / 6xy

Width = 30

4 0
3 years ago
Alonzo works as a tutor for $7 an hour and as a waiter for $8 an hour this month he worked a combined total dollar total dollar
docker41 [41]

Answer: -1t + 720

Step-by-step explanation:

He worked at both jobs for 90 hours for this month.

He worked t hours as a tutor which means that as a waiter he worked;

= 90 - t hours

The amount earned is therefore;

= 7t + (8 * (90 - t))

= 7t + 720 - 8t

= -1t + 720

6 0
3 years ago
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