Answer:
The answer to your question is x = 2, y = -1, z = 3
Step-by-step explanation:
Data
x + y + z = 4
x - 2y - z = 1
2x - y - 2z = -1
Solve the system of equations
| 1 1 1 |
| 1 -2 - 1 |
Δ = | 2 -1 -2| = (4 - 1 -2) - (-2 + 1 -4) = 1 + 5 = 6
| 1 1 1 |
| 1 -2 -1 |
| 4 1 1 |
| 1 -2 -1 |
Δx = |-1 -1 -2| = (16 - 1 + 1) - (-2 + 4 + 2) = 16 + 4 = 12
| 4 1 1 |
| 1 -2 -1 |
| 1 4 1 |
| 1 1 -1 |
Δy = | 2 - 1 -2 | = (-2 -1 -8) - (-8 + 1 + 2) = -11 - 5 = -6
| 1 4 1 |
| 1 1 -1|
| 1 1 4|
| 1 -2 1|
Δz = | 2 -1 -1| = (2 - 4 + 2) - (-1 -1 -16) = 0 + 18
| 1 1 4|
| 1 -2 1|
Find x, y and z
x = Δx/ Δ = 12/6 = 2
y = Δy/Δ = -6/6 = -1
z = Δz/Δ = 18/6 = 3
Answer:
260
Step-by-step explanation:
When x represents whole numbers less than 200, the function
f(x) = 2x - 20 .......... (1)
represents the profit earned from selling x carnations for a school fund-raiser.
Therefore, the profit earned from selling 140 carnations for the school fund-raiser will be given by the equation (1) as
f(140) = 2(140) - 20 = 280 - 20 = 260.
Therefore, 260 is the value of f(140). (Answer)
So this is a bit confusing. I don't know if you need me to solve them then simplify or just reduce them but I will try to write it anyways.
1.
For this, you can just multiply 3 by 5 which is 15 then place it as an exponent as

But if you need to solve it, you multiply 4 by itself 15 times which is107,3741,824 but I don't think thats what you are looking for but here it is anyways
I assume that it was the former that was the answer
Answer:
2. 
When dealing with negative exponents, you get one and divide by the base according to the exponent. It says -2⇒2 which means you divide 1 by 4, twice
1÷4÷4=.0625
Answer: .0625
3. 
Since its positive, you multiply by the base number (rather than divide if it was negative)
So it is 4×4×4=64
Answer: 64
4. 
Here, you just take what I did in step 3 and multiply by the base number according to the exponent
4×4×4×4×4×4×4×4=65,536
Answer: 65, 536
5. 
You do what you did in the previous steps but multiply the base 15 times
4×4×4×4×4×4×4×4×4×4×4×4×4×4×4=1,073,741,824
Answer: 1,073,741,824
If you don't know what to do, go and ask your teacher because he/she would know best on what to do :-)
Answer:
6
Step-by-step explanation:
y=k*x
180=k*n
n=k*5
180=k*k*5. so k*k=36, k=6