5x - 3y = -11 (×2)
2x - 6y = -14 (x5)
10x - 6y = -22
10x - 30y = -70
---------------------- -
24y = 48
y = 2
Answer:
The equation of the line is y=4/3x+1
Step-by-step explanation:
I don't know the statement.
Answer:
will you have to put the options down in the ch.at since you didn't put them in the question
Step-by-step explanation:
Answer: shameeka sold 20 hamsters to the store.
Step-by-step explanation:
Let x represent the number of hamsters that shameeka sold to the store.
Let y represent the number of hamsters that the pet store had initially.
Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that
x + y = 2y
x = 2y - y
x = y
Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that
2y + 6 = 46
2y = 46 - 6
2y = 40
y = 40/2
y = 20
Since x = y, then
x = 20
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
