Solve the system of equations and choose the correct answer from the list of options. d + e = 15
-d + e = -5
Label the ordered pair as (d, e).
O (0, 0)
O (10,-5)
O (5, 10)
O (10,5)

9514 1404 393

  d.  (10, 5)

Step-by-step explanation:

Add the two equations, and you get ...

  2e = 10

  e = 5

Solve the first one for d and you have ...

  d = 15 -e

  d = 15 -5 = 10

So, the solution is ...

  (d, e) = (10, 5) . . . . . matches the last choice

Check

  d + e = 10 + 5 = 15

  -d + e = -10 +5 = -5

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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