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natulia [17]
2 years ago
12

Which group of numbers includes only composite numbers?

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
8 0

Answer: 4, 6, 8, 9 and 10

Why?: What is the only composite number?

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)

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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
Find the value of y in this equation 16y=164
fiasKO [112]
16y = 164
y = 164 ÷ 16
y = 10.25

Hope This Helps You!
8 0
3 years ago
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The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probabil
maks197457 [2]

Solution :

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The z - score for 1.6 hours = $\frac{1.6-1.4}{0.7 / \sqrt{50}}$

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Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.

8 0
2 years ago
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schepotkina [342]

Answer:

x = 1/9

Step-by-step explanation:

8x + 2 = 3 - x

Add x to both sides.

9x + 2 = 3

Subtract 2 from both sides.

9x = 1

Divide both sides by 9.

x = 1/9

3 0
3 years ago
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If i spent $7.00 and I knew that was 12% of my savings how much savings did I have
IceJOKER [234]
X=$58.33 amount of saving
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