Answer:
37. {-1, -1}.
Step-by-step explanation:
I'll solve the first one . The other can be solved in a similar way. We can use the method of elimination.
x1 - x2 = 0
3x1 - 2x2 = -1
We can multiply the first equation by -2. We then have an equation containing + 2x2 so when we add this to the second equation the 2x2 will be eliminated
So the first equation becomes:
-2x1 + 2x2 = 0 Bring down the second equation:
3x1 - 2x2 = -1 Now adding, we get:
x1 + 0 = -1
so x1 = -1.
Now we substitute this value of x1 in the original first equation:
-1 - x2 = 0
-1 = x2
x2 = -1.
So the solution set is {-1, -1}.
If there are more than 2 equations you can use a combination of substitutions and eliminations.
Let J = rate of jet in still airLet W = rate of wind Distance formula: d = rt / r = d/t Flying against the wind the jet flies at a rate of J - W = 1860 miles/3 hours = 620 miles per hourFlying with the wind the jet flies at a rate of J+W = 9180 miles/9 hours = 1020 miles per hour The average of these 2 rate is the speed of the jet in still air J = (620+1020)/2 = 820 miles per hour J - W = 620
820 - W = 620
W = 820 - 620 = 200 miles per hour The jet in still air flies at a rate of 820 mph(miles per hour)The wind speed is 200 mph(miles per hour)
Answer:
We have the equation:
P(t) = 100 - 10*t
where t is the number of hours.
at t = 0, we have:
P(0) = 100 - 0 = 100
so at the initial time, we have 100% of the battery power.
Now with this equation we can find the numbers of hours that we have left in our phone, this is finding the time t at which the power left is equal to zero:
P(t) = 0 = 100 - 10*t
10*t = 100
t = 100/10 = 10
So the battery power will last for 10 hours.
Answer:
- y-intercept: 2000
- rate of change: 500
Step-by-step explanation:
When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.
Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.
After m months, Timon's debt d will be ...
d = 500m + 2000
