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kondaur [170]
3 years ago
7

What is the answer to 8x-(3x+6)=9

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:x=3

Explanation :

8x-1(3x+6)=9  8x-3x-6=9

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The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Harrizon [31]

Answer:

V=\frac{512\pi }{15}

Step-by-step explanation:

First thing I did was graph this on my calculator to find the upper and lower bounds.  They were x = 5, 9.  Then I applied the disk method of integration.  From this I know know I use y = x equations, x intervals, I need a value for R, and then I need a value for r.  R represents the height of the representative rectangle which is perpendicular to the axis of rotation, so the height of that rectangle starts at y = 0 and meets the curve.  So

R=-x^2+14x-45

Since there is no "hole" or space between the graph and the axis of rotation, r=0.  Putting that into the volume formula:

V=\pi \int\limits^9_5 {[-x^2+14x-45]^2-[0]^2} \, dx

To simplify I have to multiply that polynomial by itself.  Doing that gives us:

V=\pi \int\limits^9_5 {x^4-28x^3+286^2-1260x+2025} \, dx

Integrating gives us:

V=\pi [\frac{x^5}{5}-\frac{28x^4}{4}+\frac{286x^3}{3}-\frac{1260x^2}{2}+2025x which we integrate from 5 to 9

Doing a bit of simplification on that:

V=\pi [\frac{x^5}{5}-7x^4+\frac{286x^3}{3}-630x^2+2025x] from 5 to 9

Applying the First Fundamental Theorem of Calculus we get that when we sub in a 9 for x then a 5 for x:

V=\pi(\frac{12879}{5}-\frac{7625}{3})

which subtracts to

V=\frac{512\pi }{15}

7 0
3 years ago
If f(x)= 2^8-x+3, what is the value of f(5), to the nearest tenth (if necessary)
shepuryov [24]

Answer:

Step-by-step explanation:

f(5) = 2^8 - 5 +3

f(5) = 256-5+3

f(5) = 254

4 0
2 years ago
A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number that i
GuDViN [60]

Using its concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

p=19/25

Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

p=38/50 = 19/25

Learn more about probability here:brainly.com/question/24756209

#SPJ4

7 0
2 years ago
Jane rode her bike at a steady speed of 15 km/h.
podryga [215]

Answer:

12

Step-by-step explanation:

1.3

20 ÷ 15 = 1.3

7 0
3 years ago
Read 2 more answers
I NEED AN ANSWER FAST PLEASE
Natasha2012 [34]

Answer:

The answer is option b.

y = csc(x) + 2

Hope this helps

6 0
4 years ago
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