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2 years ago

Match the two numbers with their least common multiple (LCM).

Mathematics

1 answer:

Vsevolod [243]2 years ago

3 0

Answer:

8 and 4 = 8

8 and 10 = 40

Step-by-step explanation:

The least common multiple is the smallest value that both numbers equal when you look at their multiples.

The multiples of 8 are 8, 16, 24, 32, 40...

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...

The multiples of 10 are 10, 20, 30, 40...

The first multiple 8 and 4 have in common is 8.

The first multiple 8 and 10 have in common is 40.

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If f(x) =69-15x then f(f^-1(x))

xenn [34]

If f(x)=69-15x then $f(f^{-1}(x))=x$

Given :

$f(x)=69-15x\\$

Lets find out $f^{-1}(x)$ . The steps to find out f inverse are

Replace f(x) by y

$y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}$

Now we find $f(f^{-1}(x))$

Replace inverse function in the place of x in f(x)

$f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x$

Learn more :

brainly.com/question/11242094

8 0

2 years ago

The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it

mash [69]

An expression that represents the perimeter of the rectangle would be:

P = 2(3n+2) + 2(n-1)

Hope this helps!

5 0

3 years ago

V^2+2=8-4v^2 solve the question algebically

iris [78.8K]

Answer:

v = ± sqrt(6/5)

Step-by-step explanation:

v^2+2=8-4v^2

Add 4v^2 to each side

v^2+ 4v^2+2=8-4v^2+ 4v^2

5v^2 +2 = 8

Subtract 2 from each side

5v^2 +2-2 = 8-2

5 v^2 = 6

Divide each side by 5

5v^2 /5 = 6/5

v^2 = 6/5

Take the square root of each side

sqrt(v^2) = ± sqrt(6/5)

v = ± sqrt(6/5)

8 0

3 years ago

Read 2 more answers

Find the volume of the composite solid below. If needed,round to the nearest hundredth. Use 3.14

ZanzabumX [31]

Answer:

429.42 cm

Step-by-step explanation:

Volume of a rectangle prism:

V = whl

V = (5)(12)(7)

V = 420

Volume of a cylinder:

V = πr²h

V = (3.14)(1²)(3)

V = (3.14)(1)(3)

V = 9.42

Combined:

420 + 9.42

429.42

6 0

3 years ago

What is the probability that a five-card poker hand contains a flush (including straight and royal flushes), that is, five cards

pantera1 [17]

Answer:

3.924×10∧-9

Step-by-step explanation:

Royal flush contains five cards and it's probability is 0.3924%≈0.003924

Straight contain five cards and it's probability is 0.0001%≈0.000001

The probability including straight and royal flushes will be 0.003924×0.000001≈3.924×10∧-9

4 0

3 years ago