Answer:
y + 2x = 10 (third option)
Step-by-step explanation:
We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.
We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.
Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).
y = -2x + 10
If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).
This means that the third option is correct.
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
you would have to pay $43.20
Step-by-step explanation:
15+32.50=47.50
47.50x.08=3.80
47-3.80=43.20
Divide 224 by 8 and you will get 28.
Answer:
Remember while answering, 1 kilometer = 1,000 meters
5,000 ⇒ 5
6,000 ⇒ 6
7,000 ⇒ 7
8,000 ⇒ 8
9,000 ⇒ 9
Step-by-step explanation:
1 kilometer is 1,000 meters because "kilo" means 1,000
Knowing this we can make an equation to figure this out
When we know x, or meters, we can do y = x/1,000
When we know y, or kilometers, we can do x = 1,000y
