Answer:
(-2,1)
Step-by-step explanation:
We want the points where the function is greater than zero
Looking at the function it is between the x intercepts
The x intercepts ares -2 and 1
-2 <x<1 is when y >0
We want interval notation
(-2,1)
It has 5 roots. You can determine this by the degree of the polynomial
Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So, 
........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So, 
........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
Answer:
The answer is C. a = -4,000 m
Step-by-step explanation:
If you subtracted 31,000 from 35,000, you would get 4,000 in a minute. Do the same for the rest, you would also get 4,000 m in a minute, so the answer would be a = -4,000 m
