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Helen [10]
3 years ago
8

The function f(x) =

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0

\frac{-3x-4}{x-2}

Domain: (-∞, 2) ∪ (2, ∞)

Range: (-∞, -3) ∪ (-3, ∞)

For inverse, solve x=\frac{-3y-4}{y-2} for y.

inverse: y=\frac{-4+2x}{x+3}

Hope this helps!

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Which is the greatest common factor of 84 and 60?
ad-work [718]

Answer:

C

Step-by-step explanation:

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3 years ago
I need help simple explanation if possible
Yuki888 [10]
Answer: X=1

Step-by-step explanation:
The hypotenuse is √2 which means that x²+x²=(√2)² using Pythagoras
Simplify and solve
2x²=2
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8 0
2 years ago
A fertilizer covers 3 4 square foot in 1 2 hour. The unit rate is square feet per hour.
Alenkasestr [34]

Answer:

2\frac{5}{6} square foot per hour

Step-by-step explanation:

The total area covered = 34 square foot

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This implies that it takes 12 hours to cover 34 square foot.

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12 hours ---------------------------------------> 34 square foot

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\frac{12}{12} hours ---------------------------> \frac{34}{12} square foot

1 hour ---------------------------------------> 2\frac{5}{6} square foot per hour

The unit rate in square feet per hour is 2\frac{5}{6} square foot per hour

7 0
3 years ago
If BCDE is congruent to OPQR then DE is congruent to what?
irga5000 [103]

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QR

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5 0
3 years ago
The table below represents the distance of an airplane from its destination as a function of time:
Ira Lisetskai [31]
Let us first find the equation for the distance as a function of time in the form:

d=mx+b

m=(d2-d1)/(x2-x1)

m=(2160-2700)/(1-0)

m=-540

d=-540x+b, using point (0,2700) we can solve for b

2700=-540(0)+b

2700=b so

d(x)=-540x+2700

A)  The y-intercept is the constant of our distance function  (the distance when x, time, equals zero).  In this case d=2700 is the y-intercept.  This means that the initial distance from the destination was 2700 miles.

B) Since this is just a line and has a constant velocity, its average velocity will just be the constant velocity or slope.  But mathematically we could show this to be true.  Average velocity is change in distance divided by change in time.

v=(540-2160)/(4-1)

v=-1620/3

v=-540 mph

C)

The domain of a function is the possible x values in the proper context.  First time cannot be less than 0.  The other extreme for time is when the plane reaches its destination, when d=0, which is when:

-540x+2700=0

540x=2700

x=5.  

So the plane reaches its destination after 5 hours.  So the domain, the x values, for d=-540x+2700 is

x=[0,5]
5 0
3 years ago
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