The vertex is where g(x) = 0
i.e. where 8(x^3)^2-7 is equal to x
who wrote this question, there aRE OBVIOUS errors.
Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
Answer:
if 128 ounces is one gallon then the cow can drink up to 4480 ounces , which is the same as 35 gallons
Step-by-step explanation:
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Answer: The answer is 2275 and 0.
Step-by-step explanation: Given that the Capulet and Montague families love to write. Last year, each Capulet wrote 44 essays, each Montague wrote 66 essays and both families wrote 100100 essays in total. This year, each Capulet wrote 88 essays, each Montague wrote 1212 essays, and both families wrote 200200 essays in total. We are to find the number of Capulets members and Montagues members.
Let there are 'x' members in Capulet family and 'y' members in the Montague family. Then, we have

Multiplying first equation by 2 and then subtracting from the second equation, we have

So,

Thus, there are 2275 Capulets and 0 Montagues.