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marishachu [46]
3 years ago
13

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

( 1 , ∞ )

Step-by-step explanation:

Interval notation rounds up to infinite

Fed [463]3 years ago
5 0
(1,infinity),,,,,,,,,
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H(x) = 1/3x - 1 if h (15)
dalvyx [7]

Answer:

(

h

∘

f

∘

g

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(

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is known as a composite function. Here's how composite functions work:

let's say that  

x

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1

. Your function  

g

(

x

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=

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3

(

x

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now produces a  

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3

, since  

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1

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=

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3

(

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. Within a composite function, the y-value of one function becomes the x-value of the next, like so:

g

(

1

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=

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3

⇒

f

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3

)

=

17

3

⇒

h

(

17

3

)

=

17

Therefore,

(

h

∘

f

∘

g

)

(

1

)

=

17

Based on this, to find the function for  

(

h

∘

f

∘

g

)

(

x

)

(combined from right to left, by the way), simply replace  

x

in  

f

(

x

)

with the function  

g

(

x

)

, and replace  

x

in  

h

(

x

)

with the function of  

(

f

∘

g

)

(

x

)

, to get  

(

h

∘

f

∘

g

)

(

x

)

.

This, simplified, is equal to  

2

x

+

15

, and therefore  

(

h

∘

f

∘

g

)

(

1

)

=

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Hope that helps!

5 0
3 years ago
Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f
velikii [3]

Answer:

\frac{dy}{dx}=-\frac{y+1}{x+1}

Step-by-step explanation:

The given equation is xy+x+y=6

Differentiate both sides with respect to x

x\frac{dy}{dx}+y+1+\frac{dy}{dx}=0

Take y and 1 to other sides of the equation

x\frac{dy}{dx}+\frac{dy}{dx}=-y-1

Factor out dy/dx from the left hand side of the equation

\frac{dy}{dx}(x+1)=-y-1

Divide both sides by (x+1)

\frac{dy}{dx}=\frac{-y-1}{x+1}\\\\\frac{dy}{dx}=-\frac{y+1}{x+1}

7 0
3 years ago
So the question is "5(3x -5)" how do I know if the answer is 15x-25 or 15x+25?
nevsk [136]
Distribute. 

5(3x - 5)
5*3x - 5*5
15x - 25



4 0
3 years ago
Read 2 more answers
What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14
Varvara68 [4.7K]

Answer:

b 1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is
AlexFokin [52]

Answer:

Your expected loss per game is of $0.31.

Step-by-step explanation:

In a standard 52-card deck, we have that:

There are 12 face cards.

What is your expected gain or loss (in dollars) per game?

12/52 probability of winning $2.

1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So

E = \frac{12}{52}*2 - \frac{40}{52}*1 = \frac{24 - 40}{52} = -\frac{16}{52} = -0.31

Negative, so a loss is expected.

Your expected loss per game is of $0.31.

7 0
3 years ago
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