The larger of two numbers is six less than twice the smaller number. If the sum of the numbers is 42, find the numbers.

Smaller number is 16 and larger number is 26

Step-by-step explanation:

Let the smaller number be y.

The larger number is six less than twice the smaller number which is= (2×y)-6= 2y-6

The addition of the large and small number equals 42.

y + 2y - 6= 42

3y - 6 = 42

3y= 42+6

3y= 48

y= 48/3

y= 16

The smaller number is 16

The bigger number will be 2y-6= (2×16)-6 = 32-6= 26

answer: -1

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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