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Kobotan [32]
3 years ago
7

Describe the graph of y = 3/(4x-12) as compared to the graph of y = 1/x

Mathematics
1 answer:
Ivan3 years ago
5 0
The <span>graph of y = 3/(4x-12) is decreasing sloping to the right mostly in the third quadrant whereas the graph of y = 1/x is like a mirror that is present in both quadrant 1 and 2.</span>
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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
Two times a number is more than 36.
alina1380 [7]

Answer:

19

Step-by-step explanation:

19 x 2 = 38

Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.

6 0
2 years ago
What is the least common multiple of 6, 18, and 8?
nexus9112 [7]

Answer:

6 = 2 • 3  

8 = 23  

18 = 2 • 32

6 0
3 years ago
Read 2 more answers
If the line segments and are drawn, which of the following conjectures is true?
padilas [110]

Answer:

please provide context to your question.

Step-by-step explanation:

I can't help if theres not information to see.

4 0
2 years ago
Evaluate 12a+0.35b <br><br>When a = -0.25 and b = 10​
Alenkinab [10]

Answer: 0.5

Step-by-step explanation:

You can substitute:

12(-0.25) + 0.35(10)=

-3 + 3.5=

0.5

3 0
3 years ago
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