I think it would be easiest to solve for x in this system of equations if you did so by elimination:
Start by finding the least common multiple of 3 and 2 to make the Ys cancel:
4x-6y=-54
-9x+6y=69
_________
-5x=15
x=-3 - answer B
The answer to the question is right
Answer:
It is a linear function because its graph contains the points (0,5), (1,8), (2,11), which are on a straight line.
Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I 
B)
Formula for P(P Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
<em>P(P </em><em> Q) = P(P) + P(Q)</em>
P(I B) = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = <em>0.74</em>
So, the answers are:
<em>a) 0.68</em>
<em>b) 0.08</em>
<em>c) 0.74</em>
For the circle of 3x² + 3y² = 75, the radius would be 5, and the center would be (0, 0)
This is because, usual circle equations have only 1 x² and y², so you can divide all terms by 3 to make the equation look normal. This gives you x² + y² = 25.
Since there is nothing being added or subtracted to the x and y values, the center is (0, 0), and the radius is the square root of whatever the values equal, which is √25 = 5.
I hope this helps!
