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nata0808 [166]
3 years ago
5

Slove x^2-8x=20 by completing the square. which is the solution set of equation?​

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

x^2-8x=20

Move +20 to the other side. Sign changes from +20 to -20

x^2-8x-20=20-20

x^2-8x-20=0

Think about two numbers that equals to -20 and -8.

(x-10)(x+2)=0

x-10=0 ( move -10 to the other side). Sign changes from -10 to 10

x-10+10=0+10

x=10

x+2=0 ( move +2 to the other side). Sign changes from +2 to -2

x+2-2=0-2

x=-2

Answer:

x=10, x=-2

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Please help me with this. Use the combination method of substitution to solve. Please show and explain work. Thanks.
Artemon [7]

Answer:

x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)

Step-by-step explanation:

The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.

Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>

171x = 87x + 2129

Step 2: Subtract 87 x on both sides

84x = 2129

Step 3: Divide both sides by 84 to get x

x = 2129/84 or 25.35 (rounded)

To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:

y = 171 (25.35)

y = 121353/28 or 4334.04 (rounded)

You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.

6 0
3 years ago
Help plz and thanks
rodikova [14]

Answer:

6b

Step-by-step explanation:

6 0
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The average number of accidents is 3 per month, what is the probability of 1 accident?
tatuchka [14]
<h2>Hello!</h2>

The answer is: 33.33%

<h2>Why?</h2>

Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

Probability=\frac{FavorableOutcomes}{Outcomes}*100

Where,

Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.

Outcomes are the possible occurrence of the event, for this case, it's equal to 3.

So, by substituting we have:

Probability=\frac{1}{3}*100

Probability=0.3333*100=33.33

So, the probability will be equal to 33.33%

Have a nice day!

7 0
3 years ago
Any thoughts im really confused on it
wariber [46]
In step two he flipped the fraction back to how it was originally but he was supposed to leave it improper in order to multiply
4 0
3 years ago
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