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Anettt [7]
3 years ago
7

3 times a number X is at least negative 18​

Mathematics
1 answer:
Alina [70]3 years ago
5 0

Answer:

3x>-18

-

Step-by-step explanation:

You might be interested in
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
What is the probability of getting a sum 9 from two throws of a dice?
Fittoniya [83]

1/9 is the answer for that question

8 0
3 years ago
Read 2 more answers
Please and thank you
Yanka [14]
The picture is to blurry sorry
8 0
3 years ago
Read 2 more answers
What is the relationship between variance and standard deviation?
vovangra [49]
The relationship between variance and standard deviation is :
Standard deviation = sqrt (variance),
Variance = standard deviation^2.

hope this help
8 0
3 years ago
What is the surface area of the triangular prism?
Bas_tet [7]

Answer:

135 ft^2.

Step-by-step explanation:

The total surface area

= 2 * area of the triangular sides + area of the 3 rectangular sides

= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5

= 135 ft^2.

4 0
3 years ago
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