Alex opens a 1-pint container of orange butter. He spreads 1/16 of the butter on his bread. Then he divides the rest of the butter into 3/4 pint containers. How many 3/4 containers is he able to fill.

The first thing to do is to make the denominators of the fractions the same:

16 / 4 = 4.  4 X 3 = 12.

12/16.

16 / 1 = 16.  16 X 1 = 16

16/16

Now you write this out as a fraction equation:

(16/16 - 1/16) / 12/16

15/16 / 12/16

Since all you need to know is the whole number, you can easily tell that 15 / 12 is less than 2.  

Therefore, Alex is able to fill one 3/4-point containers with orange butter.

Step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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