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2 years ago

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Mathematics

1 answer:

Vladimir [108]2 years ago

3 0

AB = X^2(3X +2)

C^2 = (x - 3)^2

AB - C^2 = 3x^3 + 2x^2 - (x^2 - 6x + 9)

= 3x^3 + x^2 + 6x - 9

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What is the range of function y=√(-2cos^2x+3cosx-1)

Ugo [173]

Hello Friend,here is the solution for your question

so the given function is 
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)

Now here in this equation is this quantity :-
(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation 
i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa 

And we know that cosx-3/4 will be minimum if cosx=3/4
therefore put this in (1) we get 
(cosx=3/4)²=0 [ cosx=3/4]
hence the minimum value of the quantity (cosx=3/4)² is 0 

put this in equation (1) 
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
 =√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
 =√1/8
 =1/(2√2)

this is the maximum value now to find the minimum value 

since this is function of root so the value of y will always be ≥0 

hence the minimum value of the function y is 0 

Therefore, the range of function y is [0,1/(2√2)]

__Well,I have explained explained each and every step,do tell me if you don't understand any step._

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Answer:

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

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Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

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Answer:

three hundred fifteen million nine hundred sixty two thousand four

Step-by-step explanation:

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Nuetrik [128]

Hi!

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