X(.07 )+x = 14.70
x = 13.73831775
Answer:
The last two functions are decreasing!
Step-by-step explanation:
You can easily tell the functions are decreasing if the function is going down from L to R. If it is going up, from L to R, then it is increasing!
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Step-by-step explanation:
We have
Let's factor the denomiator first,
the denomaitor is a perfect square so we get
Now, we must think of two fractions that
We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.
So right now, we have
so that means that a is
So our equation is
Hank will need 2 gallons of gas. 85/5 is 17, so Hank can go 17 miles on 1 gallon of gas. 17•2= 34, to go 34 miles you will need 2 gallons of gas.
