Answer:
X=3/2 or 1.732
Step-by-step explanation:
X^2-4+1=0
Combine like terms
-4 + 1 = -3
X^2-3=0
add 3 to both sides
X^2= 3
X= 3/2
Answer:
when you have two fractions that equal each other you want to solve by using cross multiply
What cross multiply is, is when you multiply diagonally so:
8/x=14/7
you would take 14*x and 8*7
14x=56 (you would then divide each side by 14)
x=4 (14/14=1, 56/14=4)
8/4=14/7
To check your work you could simplify
8/4=2
14/7=2
2=2, which is true
x=4
Hope this helps ;)
Answer:
n = 2/3
Step-by-step explanation:
2m - 3n = 6
– 2m + 6n = 12
<u>____-____-___</u>
-9n = -6
n = -6/-9
n = 2/3
Hence, the value of n in the given equations is 2/3.
Answer:
1
Step-by-step explanation:
x+y=1 if x=0, then y=1
Answer:
Value of k is 
Step-by-step explanation:
We are given the following information in the question:
where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is
