If y varies inversely as x and y = 40 when x = 16, how do you find y when x = 10?
The method for these questions always stays the same. Follow the process below.
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To find y when x = 10, we can use the inverse variation formula. Inverse variation states that y is inversely proportional to x, which can be expressed as y = k/x, where k is the constant of variation.
To find the value of k, we can use the given information. When y = 40 and x = 16, we can substitute these values into the formula: 40 = k/16.
To solve for k, we can multiply both sides of the equation by 16: 40 * 16 = k. This gives us k = 640.
Now that we have the value of k, we can substitute it back into the inverse variation formula: y = 640/x.
To find y when x = 10, we substitute x = 10 into the formula: y = 640/10.
Simplifying this expression, we find that y = 64.
Therefore, when x = 10, y is equal to 64.
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If y varies inversely as x, it means that their product remains constant. To find y when x is 10, you can set up the equation using the given information:
y * x = k
where k is the constant of variation.
Given that y = 40 when x = 16, you can solve for k:
40 * 16 = k k = 640
Now that you have the value of k, you can find y when x = 10:
y * 10 = 640
Divide both sides by 10 to isolate y:
y = 640 / 10 y = 64
Therefore, when x is 10, y is 64.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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