Saniya writes a positive integer on each edge of a square. She also writes at each vertex the product of the numbers on the two edges that meet at that vertex. The sum of the numbers at the vertices is 15. What is the sum of the numbers on the edges of the square?

The sum of the numbers in the edges is 7

Step-by-step explanation:

We have 4 positive integers A, B, C and D.

The numbers in the vertices are:

AB , BC, CD and DA

We know that:

AB + BC + CD + DA = 15.

B( A + C) + D(A + C) = 15

(B + D)(A + C) = 15

The only two numbers that when you multiply them are equal to 15, are 3 and 5. (3*5 = 15)

So we need to have

B + D = 5

A + C = 3

or

B + D = 3

A + C = 5

then:

B + D + A + C = 3 + 4 = 7

The sum of the numbers in the edges is 7

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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step-by-step explanation: