the answer is 0 its like 14-14=0
What we are given:
*equation
* intercepts (4,7)
All we have to do is plug in what we know:
Y= 3x + 6
x=4 and y= 7
NEW EQUATION:
7= 3(4) + 6
7= 12+6
7= 18
then divide 18 by 7
18/7= 2.5
Answer:
y=4x+2
Step-by-step explanation:
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The distance walked will be (12-x) km
the distance rowed will be (9+x²) km
A] The function T(x) will be given by:
Time=distance/speed
thus we shall have:
T(x)=[√(9+x²)]/2.5+(12-x)/4
B] To get the distance x=c that minimizes the time travel, we differentiate the above.
T'(x)=(1/2.5)[1/(2.5√9+x²)*2x-1/4]
this should give us 0 for x=c, thus
c/[2.5*√(9+c²)]-1/4=0
⇒c/[2.5*√(9+c²)]=1/4
c/√(9+c²)=2.5/4
squaring both sides we get:
c²/(9+c²)=5/8
8c²=5(9+c²)
8c²=45+5c²
3c²=45
c²=15
c=3.87 km
c] The least travel time is
T(c)=[√(9+c²)]/2.5+(12-c)/4
this will give us:
T(c)=[√(9+3.87²)]/2.5+(12-3.87)/4
T(c)=3.9999209~4 hours
d] The second derivative will be:
T"(x)=1/[2.5√(9+x²)]-x²/[2.5(9+x²)^(3/2)]
but
x=c=3.87
T"(x)=0.01668 hours/ mile²
Given that T(c)=0, while T(x)<0 for x<c and T(x)>0 for x>c proves that T(x) decreases for x<c and increases for x>c, so there is a minimum at x=c
Answer:
338 different options we will have to choose from.
Step-by-step explanation:
Number of base drinks = 13
Numbers of flavors = 26
If we can select 1 base and 1 flavor.
For every base drink we have 26 flavors.
Then for each 13 base drinks we will have 26 flavors.
So, number of options if we have If we select 1 base and 1 flavor:
338 different options we will have to choose from.
