Answer:
Step-by-step explanation:
![{ \bigg( \frac{5}{10} \bigg) }^{4} \\ \\ = {(0.5)}^{4} \\ \\ = 0.0625 \\ \\ = 6.25 \times {10}^{ - 2}](https://tex.z-dn.net/?f=%20%7B%20%5Cbigg%28%20%5Cfrac%7B5%7D%7B10%7D%20%5Cbigg%29%20%7D%5E%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B%280.5%29%7D%5E%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%200.0625%20%5C%5C%20%20%5C%5C%20%20%3D%206.25%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%202%7D%20)
Answer:
-3x-y=5
y-2z=7
x-4y+z=-9
Step-by-step explanation:
Answer:
Is just a letter identifying the angle.
Since,Angles of a triangle sum up to 180 ,u add both the given numbers and subtract it from 180
Answer:
Step-by-step explanation:
Let price of milgrade gas be x and price of lawnmower gas be y.
18x + 5y=59.51
14x+y=39.75
Isolate one variable and substitute to solve for other variable.
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
![x\geq 0](https://tex.z-dn.net/?f=%20x%5Cgeq%200%20)
The height of the food packet cannot be a negative value, so
![f(x)\geq 0](https://tex.z-dn.net/?f=%20f%28x%29%5Cgeq%200%20)
We need to replace
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals
. We need to pick test point from each possible solution interval and check whether that test point make the inequality
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is ![-200\leq x\leq 200](https://tex.z-dn.net/?f=%20-200%5Cleq%20x%5Cleq%20200%20)
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is ![0\leq x\leq 200](https://tex.z-dn.net/?f=%200%5Cleq%20x%5Cleq%20200%20)