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sdas [7]
3 years ago
12

Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

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Is this relationship linear, exponential, or neither ?
Dovator [93]

Exponential

Step-by-step explanation:

So let’s start off by looking at how much x is growing by each time

X is growing by 8 each time

Next look at how much y is growing by

-6 to -24 is a difference of 18

-24 to -96 is a difference of 72

And lastly -96 to -384 is a difference of 288

So we can now say that it is not linear because a linear equation grows by a constant number (like adding)

To determine if it is exponential see if it is growing by a constant multiplier

24 divided by 6 is 4

96 divided by 24 is 4

384 divided by 96 is 4

It is exponentially growing by 4

6 0
3 years ago
The average density of Styrofoam is 1.00 kg/m^3. If a Styrofoam cooler is made with outside dimensions of 50.0 x 35.0 x 30.0 cm
Nadusha1986 [10]

Answer:

View graph

Step-by-step explanation:

The closest by default to 1100 cubic inches is taking two side and two front covers and that would give you 1080.12 cubic inches since two of the covers you must subtract 3 cm per side and side which would add 6 cm in total so outside would be 35 cm and indoor 29 cm . According the graph

29*50*3= 4350 * 2 lid = 8700 cm3

30*50*3= 4500*2 lid = 9000 cm3

So 8700+9000 = 17700 cm3 to inches 3 = 1080.12 cm3

5 0
3 years ago
In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?
Molodets [167]

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

8 0
2 years ago
A teacher is comparing the test scores of two classes. The range of class 1 is 14, and the interquartile range is 7. The range
dusya [7]

Answer:

Step-by-step explanation:

classs 1, because higher number has a better chance of giving higher number

7 0
2 years ago
Suppose you ride your bicycle to the library traveling at 0.50km/min. It takes you 25 minutes to get to the library. How far did
wel
12.5 km sorry if i am wrong 
6 0
3 years ago
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