You can use the substitution method for this problem
Since -3y+8=x you can
Use the equation -7(-3y+8) -6y=4
You then distribute and solve
21y-56-6y=4
15y=60
Y=4
You then plug y into one of the original equations
X=-12+8
X=-4
(-4,4)
Answer:
Step-by-step explanation:
We have 15 diesel engines, from which 13 are okay, and 2 are defected. Since there are 15 engines and 13 will be chosen two ship in the continer, the possibe number of outcomes is:
Where n = 15 and r=11.
Substituting, we find that:
Now we need to find the probability of choosing 13 effective engines and 0 defective engines, which is given by:
The probability of shipping the container is:
Answer:
1) Negative (because y value decreases from left to right)
2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)
3) Positive (because y value increases from left to right)
Step-by-step explanation:
Answer:
-196π
Step-by-step explanation:
F can be rewritten as
if S is the upper hemisphere
oriented upward, then the border of S is the circle C
traversed counterclockwise
By Stoke's theorem
where C is the circle of center (0,0,0) and radius 7 on the XY-plane traveled counterclockwise.
This circle can be parametrized as
<em>r(t) = (7cos(t), 7sin(t),0) with 0 ≤t ≤ 2π </em>
Computing the curve integral
4
-∛64 means that x³= 64
4 x 4 x 4= 64