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ryzh [129]
3 years ago
13

How do you factor out the coefficient of the variable

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0
Factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the three terms have a 3x in common, which leaves: Step 3: Multiply the leading coefficient and the constant, that is multiply the first and last numbers together.
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John and Alan have a collection of x baseball cards. John has x/4 cards. What fraction of the cards does Alan have?
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X-x/4
4x-x/4
3x/4
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5 0
4 years ago
The length of each side of a square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of ea
densk [106]

Check the picture below.

6 0
3 years ago
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh
DaniilM [7]

Answer:

b) 2.00

Step-by-step explanation:

For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

She randomly selects five names from the list for validation.

This means that n = 5

40% of the names on the list are non-authentic

This means that p = 0.4

The expected (average) value of x is

E(X) = np = 5*0.4 = 2

The correct answer is given by option B.

8 0
3 years ago
A sum of money is divided between A,B and C in the ratio 9:8:7. If the total sum of money shared is 480. How much money does A r
mr Goodwill [35]

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

9x+8x+7x=480

24x=480

Divide both sides by 24.

x=\dfrac{480}{24}

x=20

Now,

A\ get =9x

A\ get =9(20)

A\ get =180

Therefore, amount received by A is 180.

6 0
3 years ago
A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2
ruslelena [56]
Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
7 0
3 years ago
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