If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.

Answers

Answer 1

Answer: according to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in all the fraction then you get
a²/bc+b²/ca+c²/ab=3.
hence proved

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Of the 95 people enrolled in mathematics class, 93% are present. How many are present?

Answers

To determine the number of students who were present in the mathematics class, multiply the total number of people enrolled by the decimal equivalent of the given percentage. That is,
present = (95) x (0.93) = 88.35
Thus, there are only 88 persons present.

Please help 50 pointsPart A: Explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)

Part B: Make tables to find the solution to 4–x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Answers

Hi There! :D

Part A) you have the equations of two lines: y = 4-x and y = 2x + 3 If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross). the y value of this point will be BOTH 4-x and 2x+3. In other words 4-x= 2x+3

part C) graph the two lines y = 4-x and y = 2x + 3 and see where they intersect. That is, pick out the (x,y) pair that is on both lines.

Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.

Celeste had 30 pieces of bubblegum. Each piece of bubblegum cost $.12 each. What was the total she paid for all 30 pieces of bubblegum?