A perfect square trinomial is found in the expression where both the leading coefficients and the constant are both perfect squares. That only is the case with the third choice above. 16 is a perfect square of 4 times 4, and 9 is a perfect square of 3 times 3. We need to set it up into its perfect square factors and FOIL to make sure, so let's do that. Not only is 16 a perfect square in that first term, but so is x-squared. Not only is 9 a perfect square in the third term, but so is y-squared. So our factors will look like this:
(4x + 3y)(4x + 3y). FOIL that out to see that it does in fact give you back the polynomial that is the third choice down.
The correct answer is C. t= 8ln(100)
Hope this helped! :)
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Answer: 1/4096
Step-by-step explanation:
4^-2 = 1/16
4^-4 = 1/256
multiplying them gives 1/4096
Answer: $0.44
Step-by-step explanation: a) (3 * 0.75) + ((1/4)*2.76) = 2.25 + 0.69 = 2.94
Pays with $5 - $2.94 = $2.06 Change
((1/2) * 3.24) = $1.62
Money left = 2.06 - 1.62 => $0.44
Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:
(3, 0.9).
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:
y = 0.3x.
Then after three days, the total fee is:
y = 0.3 x 3 = 0.9.
And the ordered pair is:
(3, 0.9).
More can be learned about proportional relationships at brainly.com/question/28291848
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