Identify the solution of the inequality |4x − 2| > 14 and the graph that represents it.
1 answer:
The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
<h3>What is an inequality?</h3>
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Given the inequality:
|4x − 2| > 14
Hence:
4x - 2 > 14 or -(4x - 2) > 14
x > 4 or x < -3
The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
Find out more on inequality at: brainly.com/question/24372553
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Answer:
- y=0.8x
- See Explanation for others
Step-by-step explanation:
The 3 cans of beans had a total weight of 2.4 Pounds
Therefore:
- 1 can of beans = (2.4 ÷ 3) =0.8 Pounds
The following applies from the options.
- y=0.8x where y is the weight and x is the number of cans.
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
Using y=0.8x
When x=5, y=0.8 X 5=4
When x=15, y=0.8 X 15=12
When x=20, y=0.8 X 20=16
- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12). This can be clearly seen from the table above as (5,4) and (15,12) are points on the line.
Answer:
40.5 centimeters.
Step-by-step explanation:
Given:
The width of the prism is 3 centimeters.
The width of the prism is 1/3 of its length.
The height of a rectangular prism is half its width.
To find:
<u>Volume of a rectangular prism = ?</u>
Solution:
Width of the prism = 3 cm
As given, height of a rectangular prism is half its width.
height of a rectangular prism =
Similarly, as given, the width of the prism is 1/3 of its length.
Width of the prism =
By multiplying both sides by 3
Thus, length of prism = 9 cm
Now, as we know:
Therefore, the volume of a rectangular prism is 40.5 centimeters.