Given: h(t) = 25 - a·t²
h(0.5) = 21
Find: t such that h(t) = 0
Solution: h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25
It takes 1.25 seconds for the entire 25 ft drop.
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
Answer:
Step-by-step explanation:
The truck's fuel consumption is:
660 miles
---------------- = 7.33 miles per gallon.
90 gallons
Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis. Place a black dot at (0,0). Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons. Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles. Now draw a vertical line through 90 gallons and a horizontal line through 660 miles. Draw a black dot where these two lines intersect. Now draw a straight line through (0,0) and (90,660). These two points are your intercepts, horiz. first and vert. second.
The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined). Here your domain is
[0,90] gallons. No function is defined for less than 0 gallons or more than 90 gallons.
The origin represents no fuel yet consumed and no distance yet traveled.
