Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
45.3297 rounded to the nearest tenth is 45.3
3 is in the tenths place, so you look at the number to the right of it. If that number is 5 or more, you round up. If the number is 4 or less, you round down. So you round 45.3297 down to 45.3
Answer:
0.667 feet
Step-by-step explanation:
To get the total distance travelled, we would integrate the velocity v(t) equation with respect to time t.
Given that the particle moves from t = 0 to t = 2 seconds
Integrating v(t) = t2 - 1
we get
= t^3/3 - t
substituting the boundaries from t = 0 to t = 2 seconds, we get
= 2^3/3 - 2 - (0^3/3 - 0)
= 8/3 - 2 - 0
= 0.667 feet
The greatest common factor of 28 and 36 is 4.