The solution to the system of equation is (1, 4,-2)
<h3>Solving system of equations</h3>
Given the following system of equation below
2x-y-3z=4
4x+2y+z=10
4x-y+4z=-8
Subtract equations 2 and 3 to have:
3y - 3z = 18
y - z = 6
y =6 + z ............. 4
Also multiply <u>equation 1 by 2 and subtract from 2</u> to have;
2x-y-3z=4
4x+2y+z=10
----------------------------
-4y - 7z = -2 .......... 5
Substitute 4 into 5 to have
-4(6+z) - 7z = -2
-24 - 4z - 7z = -2
-24-11z = -2
-11z = 22
z = -2
Substitute x = -2 into y =6 + z
y = 6 - 2
y = 4
Determine the value of x
2x - y - 3z = 4
2x - 4 + 6 = 4
2x = 4 - 2
2x = 2
x = 1
Hence the solution to the system of equation is (1, 4,-2)
Learn more on system of equation here: brainly.com/question/25976025
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Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (1, - 4)
m = 
= 
= - 3
1 = 14j+3k, 1-14j = 3k, k = (1-14j)/3 = 1/3 - 14/3*j,
weird, none of them! Are you sure (b) does not have a parenthesis?
k=(1-14j)/3??
The x intercepts of the parabola would be -3.5 and 4.1
Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:
Answer: The correct option is d. Procedure results in a binomial distribution.
Explanation: The binomial distribution should follow the below assumptions
The given random experiment has fixed number of trials. Here in the given random experiment there are 6 trials.
There are only two outcomes, labelled as "winning" and "losing". The probability of outcome "winning" is the same across the fixed trials. Here in the given example, we have an experiment, which has only two outcomes, either winning or losing. Also, the probability of winning across all the six trials.
The trials are independent. Here in the given experiment each trial is independent of other trial.
From the above consideration, we can clearly say that the given procedure follows binomial distribution.
