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Bond [772]
3 years ago
10

Analyzing a Graph For each graph below, identify any interval(s) where the rational function is a) positive, b) negative, c) inc

reasing, and/or d) decreasing. Use inequality signs where appropriate, and write “none” if any of the characteristics do not apply.

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
1. Graph: a) positive:x>1
 b)negative: x<1
 c) increasing : none
 d ) decreasing: x ∈ R\ { 1 }
2. a) positive: x < -2
 b) negative: x > -2
 c) increasing: x ∈ R\ {  -2 }
 d ) decreasing: none.
3. a) positive: x ∈ R\{ 0 }
 b ) negative: none
 c ) increasing: x< 0
 d ) decreasing: x> 0
Draw your own diagram: in the attachment.
Download docx
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3x + 4y = 24<br> 6x + 8y = 24 using process of elimination
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Answer:

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if you subtract 6x+8y=24 from 6x+8y=48, you get 0=24, which is not true. Therefore the statement is false.

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Chocos is a dish made from wheat, sugar, and cocoa. Bertha is making a large pot of chocos for a party. Wheat(w) cost $5 per pou
FinnZ [79.3K]

The question is incomplete, complete question is;

Chocos is a dish made from wheat, suguar, and cocoa. Bertha is making a large pot of chocos for a party. Wheat (w) costs $5 per pound, sugar (s) costs $3 per pound, and cocoa (c) costs $4 per pound. She spends $48 on 12 pounds of food. She buys twice as much cocoa as sugar. How much wheat, sugar, and cocoa will she use (in pounds) in her dish?

Answer:

She uses 3 pounds of wheat, 3 pounds of sugar and 6 pounds of cocoa in her dish.

Step-by-step explanation:

Given,

Total amount of spent money = $ 48

Total quantity of ingredients = 12 pounds

Let the quantity of wheat, sugar and cocoa she buys be x, y z pounds respectively.

\therefore x+y+z=12\ equation 1\\and\ 5x+3y+4z=48\ equation2

And according to question, quantity of cocoa is 2 times of sugar.

\therefore z=2y

Now substituting the value of z in equation 1and 2, we get;

x+y+2y=12\\x+3y=12\ equation3

5x+3y+4\times2y=48\\5x+3y+8y=48\\5x+11y=48\ equation\ 4

Now multiply equation 3 by 5 and then subtract equation 4 from it.

5(x+3y)=5\times12\\(5x+15y=60)-(5x+11y=48)\\4y=12\\y=\frac{12}{4}=3

\therefore z=2y=2\times3=6

And substituting the value of y in equation 3, we get;

x+3y=12\\x+3\times3=12\\x+9=12\\x=12-9=3

Thus the amount she uses is 3 pounds of wheat, 3 pounds of sugar and 6 pounds of cocoa in her dish.

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3 years ago
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