Practice:
1. A.
2. D. y=5+0.84x-0.03x^2, x>=0
3. B. y=2/x, x>0
Quiz:
1. A C E. (-4,4) (0,0) (6,9)
2. A. y=-1/3x+19/3
3. D. x=2y^2-1, y>=0
4. B. y=3/x^2, x>0
Answer:
- y1 = -x +5
- y2 = 2x +14
- (x, y) = (-3, 8)
Step-by-step explanation:
We notice that x=0 is halfway between x = -1 and x = 1, so the corresponding y-intercepts will be ...
for y1, (6+4)/2 = 5
for y2, (12+16)/2 = 14
Each step in x is +2. The steps in y1 are -2, so the slope is -2/2 = -1.
The steps in y2 are +4, so the slope is 4/2 = 2.
Now, we have the slopes and intercepts, so we can write the system of equations as ...
y1 = -x +5
y2 = 2x +14
__
The y-values are shown as equal in the table for x=-3, so the solution of the system of equations is ...
(x, y) = (-3, 8)
Answer:
3.75 miles / hour
Step-by-step explanation:
120 steps / minute * 2.75 feet / step * 60 minutes / hour * 1 mile / 5280 feet =
3.75 miles / hour
The answer is 3 because Pythagorean triplets consist of 3,4 and 5.