1. The expression 6x(4-3x)–5x(x–4)–9x+2) can be written in the form ax^2+bx+c. The value of abc is?
2. A rectanglular garden is being designed for the City of Calgary Park. The length is 3x+5 and the width is 2x–1. The area of the garden can be expressed in the form of ax^2+ bx +c then the value of b is?
-23(x)^2+35x+2
Which one is this one for
Nvm ty
To find the value of abc in the expression 6x(4-3x)–5x(x–4)–9x+2), we need to simplify and write it in the form ax^2 + bx + c.
Step 1: Distribute and simplify the expression:
6x(4-3x) – 5x(x–4) – 9x + 2
= 24x - 18x^2 - 5x^2 + 20x - 9x + 2
= -23x^2 + 35x + 2
Step 2: Identify the values of a, b, and c:
In the form ax^2 + bx + c, a is the coefficient of x^2 (-23), b is the coefficient of x (35), and c is the constant term (2).
Therefore, the value of abc is -23 * 35 * 2 = -1610.
To find the value of b in the area expression of a rectangular garden with length 3x+5 and width 2x–1, we need to simplify and write it in the form ax^2 + bx + c.
Step 1: Find the area of the garden:
Area = length * width
= (3x+5)(2x-1)
= 6x^2 + 7x - 5
Step 2: Identify the value of b:
In the form ax^2 + bx + c, b is the coefficient of x (7).
Therefore, the value of b is 7.