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lara [203]
3 years ago
12

Find the slope of the line that passes through (-61, 3) and (-41, 31)​

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

Fraction - 7/5

Decimal - 1.4

Step-by-step explanation:

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To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $7.80 per hour. the math clu
yulyashka [42]
The math club could rent the room for up to 8 hours. I have also attached a picture of the work in case you need it.

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3 years ago
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#14 Lia spend $4 more on
blondinia [14]

Answer:

x=y+4

Step-by-step explanation:

Amount spent by Lia=x

Amount spent by Kiera=y

x=y+4

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3 years ago
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The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below
Aleonysh [2.5K]

Answer:

g(x)=x-1

Step-by-step explanation:

Any problem of this kind should first be approached by solving the initial function.

This question is based on curve translation on x-axis. But, there can be questions asked on translation in both axes, rotation of curve about origin, or both combined.  

Initial function f(x) is a straight line from picture.

Common equation of straight line is

y=mx+c

m= slope of the line

c= y-intercept

Slope of the line:

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}

Let those points on graph be A(3,0) and B(0,-6)

Therefore, slope of line AB, using formula is:

m=\frac{0-(-6)}{3-0}

m=2

And c=(-6)

And equation of line AB is:

y=2x-6

f(x)=2x-6

Now this line is translated backwards by 2 units, (x) becomes (x+2)

Let us consider a X, such that, X=x+2

f(X)=2X-6

f(x+2)=2(x+2)-6

f(x+2)=2x+4-6

f(x+2)=2x-2

Now, there is another function such that, g(x)= \frac{1}{2} f(x+2)

g(x)= \frac{1}{2}(2x-2)

g(x)= x-1 ; according to your question.

In the picture, they are asking for a function, g(x)= \frac{-1}{2} f(x+2)

Then, g(x)= -x+1 ; according to the picture.

Here, I have attached a file showing all the graphs for clear understanding.

3 0
4 years ago
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How do you express 1 and 1/20 as a decimal?
HACTEHA [7]
1 1/20 as a decimal would be 1.05<span />
4 0
4 years ago
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What is the quotient of -3/8 and -1/3?<br><br> A. -1 1/8<br> B. -1/8<br> C. 1/8<br> D. 1 1/8
kobusy [5.1K]

Answer:

d. 1 1/8

Step-by-step explanation:

-3 -1

---- ÷ -----

8. 3

Keep, Change, Flip.

-3/8 stays the same.

Division becomes multiplication.

-1/3 becomes -3/1

-3. -3. = 9

----- × ----- ------

8. 1. = 8

9/8 = 1 1/8

5 0
3 years ago
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