Answer:
See below for answers (in bold) and explanations
Step-by-step explanation:
Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1
Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20
Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
Answer:
260
Step-by-step explanation:
7 shelves containing 37 cans of pineapples each would give you 259 cans of pineapple. Then, round to the nearest ten would give you 260.