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azamat
3 years ago
8

Find the domains of the following expressions: 5/the square root of 5-5x

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0
Interval notation

(-infinity sign, 1)

Set-builder notation

{x|x less than equal to 1}
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Find f(g(x)) f(x)=2x-5 , g(x)=4x+3
hichkok12 [17]

Set the composite results function.

\boldsymbol{f(g(x)) }

Evaluate f(g(x)) by substituting the value of g into f.

\boldsymbol{2(4x+3)-5}

Simplify each term.

Apply the distributive property.

  • \boldsymbol{f(4x+3)=2(4x)+2\cdot3-5 }

Multiply 4 by 2.

  • \boldsymbol{f(4x+3)=8x+2\cdot3-5 }

Multiply 2 by 3.

  • \boldsymbol{f(4x+3)=8x+6-5 }

Subtract 5 from 6.

  • \boldsymbol{f(4x+3)=8x+1 }

\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

4 0
2 years ago
Volume of the cylinder with diameter of 8mm and height of 8mm
alexdok [17]

Answer:

V = 402.12385mm

Step-by-step explanation:

When the diameter is 8mm, the radius is 4mm.

V = (π(4^2))8

V = (16π)8

V = (50.2654)8

V = 402.12385

V ≈ 402, 402.1, 402.12, 402.124

4 0
2 years ago
The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan
zubka84 [21]

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

4 0
3 years ago
A cylinder shaped jar has a radius of 2 cm and a height of 6cm. What’s the volume of the jar?
max2010maxim [7]
The formula to find the volume of a cylinder is v= hㅠr*2, so you can sub the measurements into the formula.

V = (6)ㅠ(2)*2

V = 6ㅠ4

V= 75.4 (approx)
7 0
3 years ago
Rewrite (3b) to the second power without the exponents
Alik [6]
3bx3bx3b

27xbxbxb


hope this helps

5 0
3 years ago
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