Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the pric
2 answers:
Answer:
- 18 lollipops
- 8 bags of chips
Step-by-step explanation:
The equations we want to graph are one for the revenue, and one for the number of items sold.
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<h3>revenue</h3>The revenue from each lollipop is $1, so the revenue in dollars from selling x of them is 1·x = x. The revenue from each bag of chips is $1.50, so the revenue from selling y of them is 1.50·y = 1.5y. The total revenue from selling x lollipops and y bags of chips is ...
x +1.5y = 30 . . . . . dollars
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<h3>item count</h3>The total number of items sold is ...
x + y = 26
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<h3>solution</h3>The graph shows the solution to these two equations is ...
(x, y) = (18, 8)
The number of lollipops sold is 18; the number of bags of chips sold is 8.
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Answers:
Equation is
Center is (-1, -2)
Radius = 5
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Work Shown:
center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.