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Ratling [72]
4 years ago
5

What number must you add to complete the square? x2 + 6x = 15

Mathematics
2 answers:
slega [8]4 years ago
5 0

Answer: 9

Step-by-step explanation:

x2+6x+(3)2=15+(3)2

x2+6x+9=24

(x+3)2=24

x=±2√6−3

x=±2√6−3 is final answer

DENIUS [597]4 years ago
5 0

Answer:

Add 9 to each side

Step-by-step explanation:

x^2 + 6x = 15

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2=9

Add 9 to each side

x^2 + 6x+9 = 15+9

(x+3) ^2 = 24

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$2560

Step-by-step explanation:

if 10%=256

then 10 times the amount 100% is 2560

4 0
3 years ago
Is the number of miles to the next service station and the number of kilometers linear
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4 years ago
This is due today I don’t get it.
erik [133]

Answer:

1. A, C, and D are on the line.

1st graph:

1. The slope is 2/3.

2. The y-intercept is (0, -1)

3. The equation is y = 2/3x - 1

2nd graph:

1. The slope is 4.

2. The y-intercept is (0, -3)

3. The equation is y = 4x - 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ
Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 5C_{5}(0.55)^{5} (1-0.55)^{0}

=1(0.0503)(0.45)^{0}

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

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6 0
1 year ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
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