(11k^4 - 4m) + (-2k^4 - 15m)
Add -2k^4 to 11k^4. This would be the same as subtracting 2k^4 from 11k^4
9k^4 - 4m - 15m
Add -15m to -4m. This would be the same as subtracting 15m from -4m
Final Answer: 9k^4 - 19m
Word Form: Nine times the variable k to the forth power minus nineteen times the variable m.
Answer:34
Step-by-step explanation:
First you multiply
-7•-3=21
Then you just add 9+4+21
9+4=13
21+13=34
First task:
To determine this we need to make difference between system that doesn't have solution and system that has infinite number of solution. If when solving equations we get 0 = 0 that means system has infinite number of equations.
If we get 0 = some number that means that system doesn't have solution.
Multiplying first equation of second system by 2 and adding it to second equation we get 0=0 which means that this system has infinite number of solutions.
Answer is second system
Second task:
For this we need to set a system of equations and solve it. System looks like this:
x + y = 224
x*12 + y*8=2520
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x represents older than 18 and "y" 18 and younger than that.
first equation we multiply with -12 and sum it with second.
-4y = -168
y=168/4 = 42
Answer is 42.
Answer:
dV/dt = 40π
Step-by-step explanation:
We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;
dr/dt = 10 m
Height: h = 6 m
Volume of cone is given by the formula;
V = ⅓πr²h
dV/dr = ⅔πrh
We want to find the rate at which the volume is changing at radius of 1m.
Thus;
dV/dt = (dV/dr) × (dr/dt)
dV/dt = ⅔π(1 × 6) × (10)
dV/dt = 40π
Answer:
no
Step-by-step explanation:
y=mx+b
applied to the information given:
3y=x+6,
divide both sides by 3
y=1/3x+2
slope is 1/3
