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expeople1 [14]
3 years ago
10

Find f (g (x)) if f(x)=sqrtx+8; g (x)=8x-12

Mathematics
1 answer:
wolverine [178]3 years ago
4 0
F(g(x)) = f(8x-12)

f(8x-12) = \sqrt{(8x-12) +8} = \sqrt{8x -12 + 8} = \boxed{\sqrt{8x -4}}
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if you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll more than a 4
Nutka1998 [239]

Answer:

12

Step-by-step explanation:

When you a coin flips there are 2 possible outcomes which are either heads, or tailer, when you roll a die there are six outcomes, one to six. Putting these together means you have a total of 2×6=12 outcomes

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The price of an item has been reduced by 55%. The original price was $43.
victus00 [196]

Answer:

27.00

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3 years ago
You want to frame a picture that is 5 in by 7 in with a 1 in wide frame. What is the perimeter of the outside edge of the frame?
r-ruslan [8.4K]
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4 0
3 years ago
Let S denote the plane region bounded by the following curves:
oee [108]

The volume of the solid of revolution is approximately 37439.394 cubic units.

<h3>How to find the solid of revolution enclosed by two functions</h3>

Let be f(x) = e^{\frac{x}{6} } and g(x) = e^{\frac{35}{6} }, whose points of intersection are (x_{1},y_{1}) =(0,1), (x_{2}, y_{2}) = (35, e^{35/6}), respectively. The formula for the solid of revolution generated about the y-axis is:

V = \pi \int\limits^{e^{35/6}}_{1} {f(y)} \, dy (1)

Now we proceed to solve the integral: f(y) = 6\cdot \ln y

V = \pi \int\limits^{e^{35/6}}_{1} {6\cdot \ln y} \, dy (2)

V = 6\pi \int\limits^{e^{35/6}}_{1} {\ln y} \, dy

V = 6\pi \left[(y-1)\cdot \ln y\right]\right|_{1}^{e^{35/6}}

V = 6\pi \cdot \left[(e^{35/6}-1)\cdot \left(\frac{35}{6} \right)-(1-1)\cdot 0\right]

V = 35\pi\cdot (e^{35/6}-1)

V \approx 37439.392

The volume of the solid of revolution is approximately 37439.394 cubic units. \blacksquare

To learn more on solids of revolution, we kindly invite to check this verified question: brainly.com/question/338504

8 0
2 years ago
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