For this case we have:
Let:
x: number of points scored by Duncan
y: number of points scored by Eddie
We have:
(1)
(2)
Substituting (2) in (1):
Thus, Duncan could have scored a maximum of 62 points.
Answer:
points scored by Duncan.
Algebraically determine if the relation x = y2 – 100 is symmetrical with respect to the x-axis, y-axis, or the origin.
1 answer:
Answer: Option D: x-axis symmetry
Step-by-step explanation:
The symmetry concept can be explained as below:
- If any point say, (x,y) on the graph, then (x,-y) is also on the graph, it shows x- axis symmetry.
- If any point say, (x,y) lies on the graph, then, (-x,y) should also lie on the same graph, then is shows y-axis symmetry.
Now, here the graph is for x = y^{2}-100 is attached.
Suppose, (x,y) = (-100,0)
then, solving this point satisfies the equation of given graph.
Also, (x,-y) = (-100,0) satisfies the equation of the given graph.
Hence, the relation x = y^2 – 100 is symmetrical to x-axis.
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Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as
⇒
Hence, to make a profit of at least $500 she must sell at least 12 necklaces