<span>Ans : Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x ( which is the distance Jacqueline travels ) dependent variable is y ( which is Speed, in mi/h )
Now the equation becomes : Speed (y) = Distance (D) / Time(X). Then the speed at which Jacqueline traveled :
y = D/X
y = 40/50 = 0.8 mi/minute
= 0.8 x 60 = 48 mi/hour.
We create a liner function and the two variables are x (Independent, Time) & y (Dependent, Speed). (D) is the coefficient of the independent variable x.</span>
Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.
Answer:
The second student is correct. The volume of a prism is bh, but the volume of a pyramid is (1/3)bh. The volume of a pyramid will be one-third the volume of a prism if they have the same base area and height.
Step-by-step explanation:
I took the quiz :)
Answer:
Assuming you mistyped and meant, "wich is the smallest number with 30 as a divisor? Please put procedure" Your answer would be 60.
Step-by-step explanation:
60/30=20. The first part of my answer is there because there is no way you didn't mistype.
