Answer:
(a) 10x^2−x−21
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW . . . . . where L is the length, and W is the width
__
The area of the given rectangle will be ...
A = (2x -3)(5x +7)
This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.
A = 2x(5x +7) -3(5x +7)
= (2x)(5x) +(2x)(7) -3(5x) -3(7)
= 10x^2 +14x -15x -21
A = 10x^2 -x -21
The expression 10x^2 -x -21 represents the area of the rectangle in square inches.
1 pound ≈ 0.4536 kg.
3 pounds ≈ 3 * 0.4536 ≈ 1.3608 kg
Hence 3 pounds ≈ 1.3608 kg.
Our two binomials are (X-5)(X-7)
If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
