The product of the factors (5x − 8) and (5x + 8) is 25x² − 64. Then the correct option is C.
<h3>What is polynomial?</h3>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
One factor of the polynomial is given which is 5x − 8.
Then the polynomial will be
Let the other factor be 5x + 8
Then their product will be
(5x − 8)(5x + 8)
(5x)² − 8²
25x² − 64
More about the polynomial link is given below.
brainly.com/question/17822016
For a couple of minutes I want you to think about first
<em>Absolute value represents distance from zero on a number line.</em>
<em>-7 and 7 are the same distance away from zero, 7 units.</em>
<em>To visualize this, take a look at the image I have made below.</em>
8 x 300 = 2400
9 x 270 = 2430
10 x 240 = 2400
11 x 210 = 2310
the max revenue would be $9
Part (a)
The length is supposed to be 22.2 cm, but it could be 0.3 cm less
So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.
The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.
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Use this for the width as well
The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm
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<h3>Answers:</h3>
- smallest length = 21.9 cm
- largest length = 22.5 cm
- smallest width = 11.7 cm
- largest width = 12.3 cm
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Part (b)
Use the smallest length and width to get the smallest possible area
smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23
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Repeat the same idea but for the largest length and width to get the largest possible area
largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75
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<h3>
Answers:</h3>
- smallest area = 256.23 square cm
- largest area = 276.75 square cm
