Please answer this really fast. The linear factors (2x+3) and (3x-1) can be rewritten as a standard form trinomial in the form ax^2+bx+c. Find the product of a, b and c. Your answer is just 1 number.

abc = - 126

Step-by-step explanation:

(2x + 3)(3x - 1) ← expand product using FOIL

= 6x² + 7x - 3 ← in standard form

with a = 6, b = 7, c = - 3

Then

abc = 6 × 7 × (- 3) = - 126

2x(3-1) +3(3x-1)

6x^2 -2x+9x-3

6x^2+7x-3

a=6 b=7 c=3

product (x)=6x7x-3=-126

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step-by-step explanation:

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240