A total of 1680 ounces of pet food have to be packed in 5 pound bags. How many 5 pound bags of pet food can be packed ?

1 answer:

5 0

To begin with, we have to multiply 16 by 5, to determine how many ounces are in the bags. we get 80, no? we then divide 1680 by 80 to receive 21. your answer is 21.

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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

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Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .