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amm1812
3 years ago
14

Let ​f(x)= -5x+6. Find and simplify ​f(3n−5​). f(3n-5)= ?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0
We know that our function is f(x)=-5x+6; the only thing we need to find f(3n-5) is replace x with (3n-5) in our original function:
f(x)=-5x+6
f(3n-5)=-5(3n-5)+6

Now, lets simplify our function:
f(3n-5)=-15n+25+6
f(3n-5)=-15n+31

After simplify our function, we can conclude that f(3n-5)=-15n+31

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Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple int
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Answer:

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Step-by-step explanation:

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
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Answer:

Step-by-step explanation:

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations (which we have, thankfully!) and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

2\pi\int\limits^2_0 {p(y)h(y)} \, dy

where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

p(y) is the distance from y = 2 to the solid, so p(y) = 2 - y

h(y) is the length of the representative rectangle, so h(y) = 8

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2\pi\int\limits^2_0 {16-8y} \, dy

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3 years ago
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What integer

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2 years ago
how many threes would be listed in the leaf area of a stem and leaf plot with the following data? 12, 12, 22, 23, 33, 34, 36, 37
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Answer: There are 4 threes would be listed in the leaf area of a stem and leaf plot.

Step-by-step explanation:

Since we have given that the following data:

12, 12, 22, 23, 33, 34, 36, 37,48, 47  

For 1: 12,12

For 2: 22, 23,

For 3 : 33, 34, 36, 37

For 4: 48, 47

So, the stem and leaf plot will be

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 2            2, 3

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Hence, there are 4 threes would be listed in the leaf area of a stem and leaf plot.

6 0
3 years ago
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