We are given with the function that expresses the height of the football over time in the equation <span>h(x) = -16t^2 + 64t. To determine the axis of symmetry, we determine the time when it reaches the maximum height. we derive the equation and equate to zero to get t. -32t +64 = 0. t is equal to 2 seconds. Substituting, to the original equation, h(x) is 64. Hence the axis of symmetry is y = 32. </span>
Answer:
graph attached
Step-by-step explanation:
We will need to use point-slope form, and then put this into slope-intercept form. We can also use slope-intercept form, and plug in the coordinates but we should get the same answer.
Firstly, we need to find the slope. We can use the formula y2-y1/x2-x1. 1-(-3)/-3-1 is 4/-4. The slope is -1.
Next, point-slope form is y-y1=m(x-x1). I will use the coordinate (1, -3) for y1 and x1. M is the slope. We do not need to worry about y and x. y-(-3)=-1(x-1). This gives us y+3=-x+1. Once we subtract 3, to isolate y, we get y=-x-2.
The answer is y=-x-2
Answer:
-125
Step-by-step explanation:
Step 1: Find g(-1)
g(x) = -5x²
g(-1) = -5(-1)²
g(-1) = -5(1)
g(-1) = -5
Step 2: Find g(-5)
g(-5) = -5(-5)²
g(-5) = -5(25)
g(-5) = -125
Answer:
x = 729/4 = 182.250
Step-by-step explanation: