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saul85 [17]
3 years ago
10

Write the slope of a line parallel to the given line Y=7/4x-2

Mathematics
1 answer:
Schach [20]3 years ago
6 0
Parallel lines have the same slope, so if you need a line parallel to this one, it'll share a slope of (7/4). for future reference, perpendicular lines have opposite reciprocal slopes. you change the sign, then flip the fraction. -2 would become 1/2; as slopes, these would be perpendicular lines.
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If g(x) is the inverse of f(x), what is the value of f(g(2))?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

e^{ln(2)}

The answer to this would be 2 because these inverse functions "'cancel" out

So

e^{ln2} = 2

8 0
3 years ago
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Answer:

Step-by-step explanation:

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kondor19780726 [428]

Answer:

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9.1

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11.3

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13.13

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a = F/m

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