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Luba_88 [7]
3 years ago
13

Solve the inequality 3 -2a > 7

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
4 0
I think it would be D. because when you switch the number to the other side you need to switch it from positive/negative in this case it would change to a positive because it's negative and you would keep the sign the way as it is. Hope I helped! :)
Paul [167]3 years ago
3 0
3 - 2a > 7
We need to solve for a

First, let's subtract 3 on both sides to have the variables on a side and the numbers on another side:
3 - 2a > 7
3 - 2a - 3 > 7 - 3
- 2a > 4

Let's divide both sides by -2 to have a on side and its value on the other side:
-2a > 4
(-2a)/(-2) > (4/-2)
a < -2 (In a case of an inequality, we change the sign when we divide by a negative number to its opposite).

So 3 - 2a > 7 when a < -2 (answer c)

Hope this helps! :D

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The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
Trava [24]

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

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n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

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1 year ago
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in
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Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

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Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

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Median = (15+1)/2 = 8th term = 138

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What is the slope of this graph? −14 4 14 −4 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes
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The slope of this graph is - 4

Step-by-step explanation:

The slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

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∵ The graph is a line

∵ The line passes through points (1 , -2) and (0 , 2)

∴ x_{1} = 1 and x_{2} = 0

∴ y_{1} = -2 and y_{2} = 2

- Substitute these values in the rule below

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}}

∴ m=\frac{2--2}{0-1}=\frac{4}{-1}

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