Answer:
Multiply the first bracket by 3
Multiply the second bracket by -2
3x+3=-2x+2-4
3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number
Just rearranging
5x+3=-2
5x+3-3=-2-3
5x=-5
Dividing by 5
5x/5=-5/5
x=-1
Check answer by using substitution method
3(-1+1)=-2(-1-1)-4
0=-2(-2)-4 negative number and negative number = positive number
0=4-4
0=0
Answer is x=-1
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
I just graphed this equation, and it shows that the projectile will hit the ground at 5.3 seconds. I could be wrong but I'm going with the calculator is right I hope. I hope this helps you!
Answer:
Step-by-step explanation:
Given 
a)
we know that 
therefore 
on integrating we get
c=(1/6640)
b)
on doing the integration we get
=0.37349
c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent
