Problem 1 Will any of these mixtures taste exactly the same?

Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar
Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar
Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar
Workspace

A and C

Step-by-step explanation:

Calculate the concentrations for each mixture.

Mixture A:

(4 teaspoons salt) / (2 cups water) = 2 teaspoons/cup

(0.25 cup sugar) / (2 cups water) = 0.125 cup/cup

Mixture B:

(3 teaspoons salt) / (1.5 cups water) = 2 teaspoons/cup

(0.2 cup sugar) / (1.5 cups water) = 0.133 cup/cup

Mixture C:

(2 teaspoons salt) / (1 cups water) = 2 teaspoons/cup

(0.125 cup sugar) / (1 cups water) = 0.125 cup/cup

Mixtures A and C have the same concentration.

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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