Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
---------------------
50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).
Answer:
9/16
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The following equation can be derived from the question
Let x = unknown number
5 + 2x = 3x - 2
collect like terms
5 + 2 = 3x - 2x
x = 7
Answer:
It is hard to see the numbers.
But I am pretty sure it is 6x+6.
Step-by-step explanation:
Hope this helps! :D
The value of K for which f(x) is a valid probability density function is 1/4.
<h3>How to solve for the value of K</h3>
![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
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