If y varies directly as x^2 find k when x=2 and y=8
1 answer:
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Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
Subtract:
Square:
Add:
Approximate
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Answer:
Nina would have total expenses and sales $156 after selling 4 necklaces.
Step-by-step explanation:
Let <em>x</em> represent the amount of necklaces made and sold.
The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:
Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:
To break even, the total cost and profit must be equivalent. Hence:
Solve for <em>x: </em>
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Hence, the break even, Nina would need to sell four necklaces.
And the total expenses/profit would be:
In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.