Step-by-step explanation:
0.89 = 1 - 1/(k²)
Start by subtracting 1 from both sides:
0.89 - 1 = -1/(k²)
-0.11 = -1/(k²)
Multiply both sides by -1:
0.11 = 1/(k²)
Multiply both sides by k²:
0.11 k² = 1
Divide both sides by 0.11:
k² = 1 / 0.11
Take the square root:
k = √(1 / 0.11)
Answer:
(-10, 0) and (0,-5)
Step-by-step explanation:
For the function find x-intercept and y-intercept:
1. when y=0, then
2. when x=0, then
You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function
The vertical asymptote is at x = 2
Step-by-step explanation:
1) for t = 0, the initial value is -0.45 gal. which is funny. when it is really cold, do people add water to the tank somehow instead of consuming water ?
so I guess, that system is really reliable with values greater than 0.
0.0875t = 0.45
t = 5.142857143...°
so, I guess, 6° is the lowest reasonable value for this function.
2) as for any line function, the slope is the rate of change.
so, 0.0875 gal more per 1 degree more in temperature.
3) t = 90
w = 0.0875×90 - 0.45 = 7.425 gal
Answer:
21 bikes and 3 tricycles
Step-by-step explanation:
21 items
51 wheels
42 wheels=21 bikes
51-42=9
9/3=3 tricycles