A square has sides of length s. A rectangle is 6 inches shorter than the square and 1 inch longer.
Which of the following expressions represents the perimeter of the rectangle?
A. s^2-5s+6
B. s^2-5s-6
C. 2s-5
D. 4s-10
D. 4s-10
Given h(x) = (3x − 4), f(x) = (−7x+2), and g(x) = (9x+1), which of the following is equivalent to 2x + 3?
A. h(x)+g(x)
B. g(x)+f(x)
C. g(x) * h(x)
D. h(x)-g(x)
Let's first simplify each expression:
h(x) + g(x) = (3x - 4) + (9x + 1) = 12x - 3
g(x) + f(x) = (9x + 1) + (-7x + 2) = 2x + 3
g(x) * h(x) = (9x + 1)(3x - 4) = 27x^2 - 35x - 4
h(x) - g(x) = (3x - 4) - (9x + 1) = -6x - 5
Therefore, the correct answer is B. g(x) + f(x) = 2x + 3.