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Serga [27]
2 years ago
14

F(x) = 5x G(x) = 3x + 5

Mathematics
1 answer:
Alja [10]2 years ago
3 0

Answer:

f(g(x)) = 5(3x + 5) = 15x + 25

g(f(x)) = 3(5x) + 5 = 15x + 5

Step-by-step explanation:

Since you didn't say what you were trying to find, I'll give you a couple things you may have been trying to find.

f(g(x)) = 5(3x + 5) = 15x + 25

g(f(x)) = 3(5x) + 5 = 15x + 5

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Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the va
ollegr [7]
Proportionally?  Not sure.  But here is a way to find out the value of x

50° + 2x+40 +4x+8 = 180°
Combine like terms
50°+ 6x + 48=180
  (now subtract 50° from both sides)
6x + 48 = 130°
(now subtract 48 from both sides
6x=82°  
x= 13.6666667° (repeating decimal)
4 0
3 years ago
A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur
Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius <em>y</em> chosen from the interval [2, 4], a height of <em>x</em> = 2/<em>y</em>, and thickness ∆<em>y</em>. For infinitely many shells, we have ∆<em>y</em> converging to 0, and each super-thin shell contributes an infinitesimal volume of

2<em>π</em> (radius)² (height) = 4<em>πy</em>

Then the volume of the solid is obtained by integrating over [2, 4]:

\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - <em>x</em> (this is the distance between a given <em>x</em> value in the orange shaded region to the axis of revolution) and a height of 8 - <em>x</em> ³ (and this is the distance between the line <em>y</em> = 8 and the curve <em>y</em> = <em>x</em> ³). Then each shell has a volume of

2<em>π</em> (9 - <em>x</em>)² (8 - <em>x</em> ³) = 2<em>π</em> (648 - 144<em>x</em> + 8<em>x</em> ² - 81<em>x</em> ³ + 18<em>x</em> ⁴ - <em>x</em> ⁵)

so that the overall volume of the solid would be

\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}

I leave the details of integrating to you.

3 0
2 years ago
Can someone tell me the answer for this
lidiya [134]
Right answer number 3, think this gonna help u
5 0
2 years ago
Solve for x.<br><br> x3=−1000<br><br> Enter your answer in the box.<br> x =
levacccp [35]
X³ = -1000

x = ∛-1000

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In short, Your Answer would be: -10

Hope this helps!
7 0
3 years ago
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Answer:

who?

Step-by-step explanation:

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