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storchak [24]
3 years ago
8

Given: A = {18, 6, -3, -12}

Mathematics
1 answer:
tangare [24]3 years ago
5 0
First solve the inequality:
(2/3)x +3< -2x-7
(8/3)x< -10
x< -30/8
x<-15/4 or x< -3.75
now look for the answers which satisfy this, and the answer will be D
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Seven less than one-fourth of a number is 2. What is the number?
insens350 [35]

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

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A company’s board of directors wants to form a committee of 3 of its members. There are 4 members to choose from. How many diffe
Ugo [173]

Answer:

4

Step-by-step explanation:

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3 years ago
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference
Rzqust [24]

The first term of the arithmetic progression exists at 10 and the common difference is 2.

<h3>How to estimate the common difference of an arithmetic progression?</h3>

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

3d = 15

d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 * 5 = 50

a + 40 = 50

a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

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2 years ago
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leonid [27]
Y=-3+3 answer do I need to explain?
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