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3 years ago

For the given functions f and g, find the requested function and state its domain. f(x) = x - 9 ; g(x) = 9 x 2 Find f + g.

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

f + g=9x^2 +x-9

The domain is all real values

Step-by-step explanation:

f(x) = x - 9

g(x) = 9 x^2

f + g=x-9+9x^2

= 9x^2 +x-9

The domain is the values that x can take

The domain is all real values

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Mike and Ken shared some stamps. \frac{1}{5} 5 1 of Ken's stamps were \frac{1}{3} 3 1 of Mike's stamps. If Mike gave Ken 24

Zielflug [23.3K]

Answer:

Mike had 72 stamps

Ken had 120 stamps

Step-by-step explanation:

Given

$M \to Mike$

$K \to Ken$

$\frac{1}{5} * K = \frac{1}{3} * M$

$K + 24 = 3 * ( M - 24)$

Required

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Make K the subject in: $K + 24 = 3 * ( M - 24)$

$K = 3 * ( M - 24) - 24$

Substitute $K = 3 * ( M - 24) - 24$ in $\frac{1}{5} * K = \frac{1}{3} * M$

$\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M$

Open brackets

$\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M$

$\frac{1}{5} * [3M -96] = \frac{1}{3} * M$

Multiply both sides by 15

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$9M -288 = 5M$

Collect like terms

$9M -5M= 288$

$4M= 288$

Divide both sides by 4

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Substitute $M= 72$ in $K = 3 * ( M - 24) - 24$

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3 years ago

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4 years ago

Set A contains all integers from 50 to 100 inclusive, Set B contains all integers from 69 to 138 exclusive. How many integers ar

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Answer: C. 31

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Notice that Set B and Set A have an overlap from 70 to 100. So that is 31 elements in total. Hence the set A intersect B is [70, 71, 72, … , 99, 100] which is 31 elements.

Cheers.

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2 years ago