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Vikentia [17]
3 years ago
9

Complete the square to solve 4x^2 + 24x = 4

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

x=+√10-3

Step-by-step explanation:

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Lilit [14]

Answer:

\frac{1}{2}  =  {2}^{ - 1}

Step-by-step explanation:

remember the property

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

then u get equation with same base

8 0
3 years ago
What are the steps to solve 7÷2 1/3
igomit [66]
You have to make 7 into 21/3. Then change 2 1/3 into 7/3. Then divide 21/3 abd 7/3 which equals 3/3 which equals 1.
3 0
3 years ago
App 19.study
lions [1.4K]

Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

Pr(6) = \frac{6}{125} = 0.048

When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

Frequency(3) = 125 * 0.144 = 18

Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

Total \ Frequency = 125

So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

Frequency(1) + 103 = 125

Collect like terms

Frequency(1) =- 103 + 125

Frequency(1) =22

The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

So, the complete table is:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

5 0
3 years ago
What is the exact distance from (-4, -2) to (4, 6)? (4 points)
ziro4ka [17]

Answer:

the answer is 12 points

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!! I’ll give 40 points
andrew-mc [135]

Answer:

350

Step-by-step explanation:

7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.

3 0
2 years ago
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