The zeros are the values of t for which f(t) = 0.
i.e. <span>-16t^2 + 96t = 0
16</span>t^2 - 96t = 16t(t - 6)
16t = 0 or t - 6 = 0
t = 0 or t = 6
Therefore, the zeros are 0, 6
The time taken for the ball to hit the ground is the value of t when f(t) = 0.
i.e. t = 6.
Answer:
275 seconds, or 4 min 35 s
Step-by-step explanation:
The first set is red for 15 seconds and green for 40 seconds, so it repeats the cycle every 55 seconds.
The second set is red for 35 seconds and green for 15 seconds, so it repeats the cycle every 50 seconds.
A car will stop at the first set, wait 15 seconds, then drive for 60 seconds to the second set, which will just turn red. So we need to find how many cycles it takes for the beginning of the two sets to be 75 seconds apart.
If x is the number of cycles of the first set, and y is the number of cycles of the second set, then:
55x + 75 = 50y
y = 1.1x + 1.5
y must be an integer, so we need to find an integer value of x such that 1.1x ends in 0.5. For example, x = 5.
y = 1.1(5) + 1.5
y = 5.5 + 1.5
y = 7
If we wait for the first set to cycle 5 times, the beginning of the 6th cycle will be 75 seconds before the beginning of the second set's 8th cycle. So the pedestrian must wait 5 × 55 = 275 seconds, or 4 min 35 s.
360 to 30 can be written as
360:30 and call also be written as
360/30![\frac{360}{30} = \frac{36 \times 10}{3 \times 10}= \frac{36}{3} = \frac{12 \times 3}{1 \times 3} = \frac{12}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B30%7D%20%3D%20%5Cfrac%7B36%20%5Ctimes%2010%7D%7B3%20%5Ctimes%2010%7D%3D%20%5Cfrac%7B36%7D%7B3%7D%20%3D%20%5Cfrac%7B12%20%5Ctimes%203%7D%7B1%20%5Ctimes%203%7D%20%3D%20%5Cfrac%7B12%7D%7B1%7D)
360 to 30 simplified can be expressed as a ratio like
12:1,
12 to 1, or
12/1
Answer:
50%
Step-by-step explanation:
10+4+2+4=20
10/20=0.5
Answer:
x-intercept = 30/6 = 5
y-intercept = 30/5 = 6/1 = 6.00000
Step-by-step explanation:
calculate the Y-intercept:
Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y=6.00000
y-intercept = 30/5 = 6/1 = 6.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 30/6 = 5