You have to organize the parameters of the real-world situation that is known and unknown. Also, you have to distinguish which of them are dependent and independent. Next, you assign letters as your variables. Lastly, you make an algebraic expression by translating the relationship into the mathematics.
Answer:
a) x-intercepts are (0,0) and (5,0)
b) 6.25 yards
Step-by-step explanation:
a) x intercepts are:
-x² + 5x = 0
-x(x - 5) = 0
x = 0, 5
b) -x² + 5x
-(x² - 5x)
-[x² - 2(x)(5/2) + (5/2)² - (5/2)²]
-(x - 5/2)² + 25/4
Max height is:
25/4 yards or 6.25 yards
The 3rd answer choice (y = x - 2). The y-intercept based on the table is at -2 (0,2), and the slope is y/x which in this case is -1/-1 = 1. The equation y = x - 2 follows the form of y = mx + b where “b” is the y-intercept and “m” is the slope. Since the slope is “1”, m = “1”, leaving the equation to have “x” by itself without a true coefficient. To add on, the y-intercept is -2, letting b = -2. Hence, the third option is correct.
Answer:
14x>200+5.5, She must sell 15 or more vases
Step-by-step explanation:
14x>200+5.5
14x>200+5.5
14x>205.5
x>14.68*
She must sell 15 or more vases
*You round up because you cannot sell a partial vase
Answer:
15
Step-by-step explanation:
that should be correct if you multiply correctly