Answer: True
Solution:
Rearrange the equation to the LHS:
[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0
Factoring x^2+8x+16
x^2 - 4x - 4x - 16
= (x-4) • (x-4)
= = (x+4)2
So now we have an equation
(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0
Step 2: Evaluate the following:
(x+4)2 = x^2+8x+16
(x-4)2 = x^2-8x+16
(x^2-16)2 = x^4-32x^2+256
(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )
0 = 0
Hence True
Answer: x=-50
Step-by-step explanation:
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Answer:
Relative frequency is 7.41% or 0.0741
Step-by-step explanation:
Given
The Attached Table
Required
Calculate the relative frequency of the class with lower limit 27
Relative Frequency is calculated by dividing individual frequency by the total frequency
Mathematically,
The total frequency of the given data is 6+8+4+2+5+2
The class with lower limit 27 has a frequency of 2;
Hence;
becomes
(Approximated)
You may also leave your answer in percentage form
Hence, the relative frequency is 7.41% or 0.0741
Answer:
$25.03725
Step-by-step explanation:
<u>Step 1: Multiply both sides by %5 to get the raise</u>
26.355 * %5 is same as 26.355 * 0.05
$1.31775 is the raise
<u>Step 2: Subtract the raise from the new salary</u>
26.355 - 1.31775
25.03725
Answer: $25.03725
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
(1)
Where:
- Area.
- Base.
- Height.
The base and height of the parallelogram are, respectively:
Base
Height
Then, the area of the parallelogram is:
The area of the paralellogram is 24 square units.