Which expression is equivalent to 2(3w)?
1 answer:
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Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be
And the kitten weight =
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
<em>Multiplying both sides by 2 we get:</em>
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<em>Adding both sides by 6 we get:</em>
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<em>Dividing both sides by 3 we get:</em>
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<em>The weight of cat = 14 pounds.</em>
Substituting the value of to get the kitten's weight:
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.
Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be
The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be
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