Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Option B:
is the correct answer.
Explanation:
The exponential equation is 
If
, then 
Thus, the equation becomes

Applying log rule,
and thus the equation becomes

Since, we know that,
, using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation
is 
Thus, Option B is the correct answer.
Answer:
2x – 4 – 1 + x
Step-by-step explanation:
Answer:
she slept for 3 hours
Step-by-step explanation:
its actually simple so we know that April slept for 9 hours bug Evelyn only slept 2/3 of 9 hours and if you add 1/3 and 2/3 you get 3/3 which equals a whole so all you have to do is devide 9 into 3 and you get 3 parts with 3 now you add 3 and 3 together and that equals 6 and that was two parts you added which is equaled to 2/3 so all you have to do now is subtract 9-6 and you leave with three which is 1/3 so we come to the final answer she slept for three hours
sorry for such a long explanation