1x+3y=8
3x+2y=10
solve
multiply first equation by -3 and add to 2nd equation
-3x-9y=-24
<u>3x+2y=10 +</u>
0x-7y=-14
-7y=-14
divide by -7 both sides
y=2
sub back
x+3y=8
x+3(2)=8
x+6=8
minus 6
x=2
wow
both juices cost $2 per gallon
In hours it would be : 15 * h miles (* means x times). D = r * t. Notice that hours cancel leaving miles, the distance. Including the units in your calculations can help prevent errors.
For the answer to the question above,
The mean value theorem states the if f is a continuous function on an interval [a,b], then there is a c in [a,b] such that:
<span>f ' (c) = [f(b) - f(a)] / (b - a) </span>
<span>
So [f(a) - f(b)] ( b - a ) = [sin(3pi/4) - sin(pi/4)]/pi </span>
= [sqrt(2)/2 - sqrt(2)/2]/pi = 0
So for some c in [pi/2, 3pi/2] we must have f ' (c) = 0
In general f ' (x) = (1/2) cos (x/2)
We ask ourselves for what values x in [pi/2, 3pi/2] does the above equation equal 0.
0 = (1/2) cos (x/2)
0 = cos (x/2)
x/2 = ..., -5pi/2, -3pi/2, -pi/2, pi/2, 3pi/2, 5pi/2,...
x = ..., -5pi, -3pi, -pi, pi. 3pi, 5pi, ....
and x = pi is the only solution in our interval.
So c = pi is a solution that satisfies the conclusion of the MVT
Answer:
y = mx + b
Step-by-step explanation:
Where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
