Answer: D
Step-by-step explanation:
First I would write out the points of the x and y intercepts and then I would write out an equation in slope-intercept form (y=mx+b). From there I would move my terms accordingly to make it into standard form and compare my answer! Hope this helped!
The sum of b and f is b+f
Three times this sum is 3(b+f)
because in each case, the selected column composes one<span>-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.</span>
Answer:
1/2 gallons
Step-by-step explanation:
since 1/3of the tank is already full and another 4 gallons fills it up
4 gallons= 2/3 of the tank or the tank is 6 gallons total
75% is equal to 3/4
6*3/4=4 1/2 gallons
since it is 1/3 or 4 gallons full
4 1/2 -4= 1/2
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.