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Bumek [7]
3 years ago
12

Create a list of steps, in order, that will solve the following equation. 2(x+3/4)^2-5=123

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Step-by-step explanation:

2(x+\frac{3}{4})^2-5=123

1. Add 5 to both sides.

5+2(x+\frac{3}{4})^2-5=123+5

2(x+\frac{3}{4})^2=128

2. Divide both sides by 2.

\frac{2(x+\frac{3}{4})^2 }{2}=\frac{128}{2}

(x+\frac{3}{4} )^2=64

3. Take the square root of both sides.

\sqrt[]{(x+\frac{3}{4})^2 } =\sqrt[]{64}

x+\frac{3}{4}=8

4. Subtract \frac{3}{4} from both sides.

-\frac{3}{4}+x+\frac{3}{4}=8-\frac{3}{4}

x=8-\frac{3}{4}

x=\frac{(8)(4)-3}{4}

x=\frac{32-3}{4}

x=\frac{29}{4}

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First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
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