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madreJ [45]
2 years ago
14

What is the slope of (2,3) (10,15)

Mathematics
2 answers:
Zepler [3.9K]2 years ago
8 0

Answer:

m=3/2

Step-by-step explanation:

bonufazy [111]2 years ago
3 0

Answer:

1.5

Step-by-step explanation:

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Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.
Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

7 0
3 years ago
Read 2 more answers
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought
tatyana61 [14]

Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

8 0
3 years ago
What is 25/2 in simplest form?
AysviL [449]
Well the answer would be 12.5. I hoped that this helped. :)
5 0
3 years ago
Read 2 more answers
Cathy has to deposit $410 worth of five- and tendollar
iogann1982 [59]
(# of five dollar bills=f ; # of ten dollar bills=t)
3t-1=f ⇒ this means that if there were 1 $5 bills, there would be 2 $10 bills.
So the ratio of $5 bills to $10 bills is 1 to 2.
We can plug that into another equation:
f+t=410 ⇒ I havent actually learned this in school yet so I just made a chart:         $10 ║ $5
------║------
2     ║ 1    = $25
4     ║ 2    = $50
6     ║ 3    = $75
8     ║ 4    = $100
10   ║ 5    = $125
and so on...
you probably found the pattern already, so you can conclude that [cathy deposited 16 five dollar bills and 33 ten dollar bills]

A
lso, you should probably check if there are any mistakes when going through this since I took almost an hour writing this.
6 0
3 years ago
Find the value of each determinant
Ksenya-84 [330]

Answer:

−4304

Step-by-step explanation:

1. The given determinant is :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}

We need to find its determinant . It can be solved as follows :

\begin{vmatrix}7 &31 \\  142& 14\end{vmatrix}=7(14)-142(31)\\\\=-4304

So, the value of determinant is equal to −4304.

6 0
2 years ago
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