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PSYCHO15rus [73]
3 years ago
14

P(x)=x-3 g(x) = 2x-5 Find the following. (p ° q)(5)= and (q ° p)(5)=

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

  (p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3

  (p∘q)(5) = 2

__

  (q∘p)(5) = q(p(5)) = q(2) = 2·2 -5

  (q∘p)(5) = -1

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Answer: A vertex contains an infinite number of points, and a point does not have width or depth.

Step-by-step explanation:

6 0
3 years ago
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Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t
erastova [34]
Infinite number of solutions...means it will be the same line.
you have probably heard about equivalent fractions like 1/2 = 2/4...and if u reduce 2/4, it equals 1/2. Well...there are also equivalent equations. They can also be reduced.

3y = 2x - 9 cant be reduced, but u can make an equivalent equation by multiplying it all by a number.Any number.

lets try 2...
2(3y = 2x - 9) =
 6y = 4x - 18...this is an equivalent equation....the same line..infinite solutions.Notice that u can reduce it by dividing everything by 2 which would equal 3y = 2x - 9....so u see, it is like equivalent fractions....kind of...lol

or multiply it by 3
3(3y = 2x - 9) =
9y = 6x - 27....this is also equivalent.....so this is an answer as well

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make any sense ?? Just remember, to get the result of infinite solutions, the equations have to be equivalent



8 0
3 years ago
Please help, solve for x and n
Vlada [557]

Answer:

1. \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}

2. \boxed{ \bold{ \huge{ \boxed{ \sf{n =  - 5}}}}}

Step-by-step explanation:

1. \sf{ \frac{6}{x + 1}  =  \frac{3}{x} }

Do cross multiplication

\dashrightarrow{ \sf{6x = 3(x + 1)}}

Distribute 3 through the parentheses

\dashrightarrow{ \sf{6x = 3x + 3}}

Move 3x to left hand side and change it's sign

\dashrightarrow{ \sf{6x - 3x = 3}}

Collect like terms

\dashrightarrow{ \sf{3x = 3}}

Divide both sides by 3

\dashrightarrow{ \sf{ \frac{3x}{3}  =  \frac{3}{3} }}

Calculate

\dashrightarrow{ \sf{x = 1}}

The value of x is 1

---------------------------------------------------------------------

2. \sf{ \frac{2}{6}  =  \frac{2n + 8}{n - 1}}

Do cross multiplication

\dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

\dashrightarrow{ \sf{2n - 2 = 12n + 48}}

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

\dashrightarrow{ \sf{2n - 12n = 48 + 2}}

Collect like terms

\dashrightarrow{ \sf{ - 10n = 48 + 2}}

Add the numbers : 48 and 2

\dashrightarrow{ \sf{ - 10n = 50}}

Divide both sides by -10

\dashrightarrow{ \sf{ \frac{ - 10n}{ - 10}  =  \frac{50}{ - 10} }}

Calculate

\dashrightarrow{ \sf{n =  - 5}}

The value of n is -5 .

Hope I helped!

Best regards! :D

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3 years ago
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Answer:

Does the answer help you?

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Answer:

C. Translation

Step-by-step explanation:

This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.

Hope this helps!

All the love, Ya boi Fraser :)

4 0
3 years ago
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