Answer:
C
Step-by-step explanation:
Given
(3x² + 5x - 8) + (5x² - 13x - 5) ← remove the parenthesis
= 3x² + 5x - 8 + 5x² - 13x - 5 ← collect like terms
= 8x² - 8x - 13 → C
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.
Answer:
x=6
y=4
Step-by-step explanation:
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Answer:
X-intercept= (1/2,0) Y-intercept= (0,1)
Step-by-step explanation:
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Answer:
5 + y = -2 (y = -7)
Step-by-step explanation:
5 more than a number y means addition
So 5 + y
And the sum is -2
5 + y = -2
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