What is the difference between an equation and an expression
2 answers:
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Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
Thus, 750 lollipops must be sold.
Just remember, for y, just leave the dy/dx there
3x²+3(2xy+x²dy/dx)+3y²dy/dx=0
3x²+6xy+3x²dy/dx+3y²dy/dx=0
minus (3x²+6xy) from both sides
3x²dy/dx+3y²dy/dx=-3x²-6xy
undistribute dy/dx
dy/dx(3x²+3y²)=-3x-3xy
divide both sides by (3x²+3y²)
3x²+3(2xy+x²dy/dx)+3y²dy/dx=0
3x²+6xy+3x²dy/dx+3y²dy/dx=0
minus (3x²+6xy) from both sides
3x²dy/dx+3y²dy/dx=-3x²-6xy
undistribute dy/dx
dy/dx(3x²+3y²)=-3x-3xy
divide both sides by (3x²+3y²)