Sharon is painting on a rectangular canvas. The canvas is 12 inches wide and has an area of 192 square inches. What is the heigh
2 answers:
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Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation can be solved by squaring both sides:
We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:
The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Answer:
-3 < x < 3
x is some number between -3 and 3; x cannot equal -3, x cannot equal 3
graph shown below
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Work Shown:
5|x| + 3 < 18
5|x| + 3 - 3 < 18-3 ... see note 1
5|x| < 15
(5|x|)/5 < 15/5 .... note 2
|x| < 3
-3 < x < 3 .... note 3
graph shown below
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note 1: Subtract 3 fom both sides to undo the "+3"
note 2: Divide both sides by 5 to undo the multiplication
note 3: If |x| < k, for some positive number k, then -k < x < k
Answer:
The rate of Simple Interest is 6.5 %
Step-by-step explanation:
Given as :
Principal = $ 4000.00
Amount = $ 5300.00
The time period of loan = 5 years
Let The rate of simple interest = R
Now,
From Simple Interest method
Simple Interest =
And , Simple Interest = Amount - Principal
So , Simple Interest = $ 5300.00 - $ 4000.00
Or, Simple Interest = $ 1300
Now, Simple Interest =
So, $ 1300 =
Or, $ 1300 × 100 = $ 4000 × Rate × 5
Or, Rate =
Or, Rate = 6.5
Hence The rate of Simple Interest is 6.5 % Answer