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some algebra help please

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Q1)

What is the exact angle measure in radians?

495°

A. 4/11 pi

B. 11/4 pi

C. 22/3 pi

D. 11/3 pi

Q2)

Based on the polynomial remainder theorem, what is the value of the function when x = 5?

f(x)=x^4−2x^3+5x^2-7x+4

f(5)=

Q3)

What are the zeros of the polynomial function?

f(x)=x^3−x^2−4x+4

Select each correct one

-3

-2

-1

0

1

2

3

Q4)

What is the simplest radical form of the expression?

(x^4y^7)^2/3

Q5)

1/4(5/12x−3/4)>x+1/12

x<−13/43

x<13/43

x>−13/43

x>13/43

thanks!

Dec 14, 2018

#1
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1.  495  * pi / 180  =  (495/ 180)pi  =  (99/36)pi = (11/4)pi

2.  (5)^4−2(5)^3+5(5)^2-7(5)+4  =  469    (remainder)

3.     x^3−x^2−4x+4  = 0     factor as

x^2 ( x - 1) - 4(x - 1) = 0

(x - 1) (  x^2 - 4) = 0

(x - 1) ( x - 2) (x + 2)  = 0

Set each factor to 0 and solve for x and we get that

x = 1    x =  2    x = -2

4.  (x^4y^7)^2/3  =   (x^4)^(2/3) * (y^7)^(2/3)  =   x^(8/3) * y^(14/ 3)  =

x^( 2 + 2/3)  * y^(4 + 2/3)  =

{ The whole number of the mixed number tells us how many powers of the variable are taken outside the radical....the numerator of the mxed mixed number fraction tells us how many powers of the variable are inside the radical......so we have }

x2y4 ∛[ x2 y2 ]

5.   (1/4)(5/12x−3/4)>x+(1/12)      multiply through by 12

3 [ (5/12) x - 3/4 ]  > 12x + 1     simplify

(15/12)x - 9/4  > 12x  +  1

(5/4)x - 9/4  > 12 x + 1         multiply through by 4

5x - 9 > 48x + 4      subtract 48x from both sides, add 9 to both sides

-43x  > 13               divide both sides by -43...reverse he inequality sign

x < -13/43   Dec 14, 2018