Answer:
it will probably take the same amount of time since they are cooking the same amount and the food doesn't take any less to cook if there's more people but they could tidy and bring the food out faster but the time to cook the food will remain the same.
U(x) = f(x).(gx)
v(x) = f(x) / g(x)
Use chain rule to find u(x) and v(x).
u '(x) = f '(x) g(x) + f(x) g'(x)
v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2
The functions given are piecewise.
You need to use the pieces that include the point x = 1.
You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.
And the slopes can be calculated graphycally as run / rise of each graph, around the given point.
f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1
g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5
You also need f (1) = 1 and g(1) = 2
Then:
u '(1) = f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5
v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 - 1*1.5] / (2)^2 = [2-1.5]/4 =
= 0.5/4 = 0.125
Answers:
u '(1) = 3.5
v '(1) = 0.125
Answer:
D2=21/24 mile
Step-by-step explanation:
Her it is not specified if it is base or height, it only talks about dimensions, so let's work with dimensions
A=1/12 
D1=4/21mile, D2=?
Area of a triangle 
A=((D1*D2)/2) → 2A=D1*D2 → D2=2A/D1 so D2=(2*1/12)/(4/21) =(1/6)/(4/21) = (1*21)/(6*4)=21/24 mile
Answer:
Step-by-step explanation:
Y-intercept:
(8,0) ; x₁ = 8 & y₁ = 0
(3,7) ; x₂= 3 & y₂ = 7
- First find the slope of the line.
slope y-intercept form of the line: y = mx + b
Substitute the slope and x and y in the above equation. We can choose anyone of the given points.
Answer:
18
Step-by-step explanation:
Factors of 54
1, 2, 3, 6, 9, 18, 27
Factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Factors of 18
1, 2, 3, 6, 9, 18.
Greatest Common Factor
We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 72, 54 and 18 is 18.
