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amm1812
2 years ago
15

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2

to
determine if f(x) and g(x) are inverses of each other
Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

Sonja [21]2 years ago
4 0

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

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Camilias as backyard is in the shape of a rectangle and has a length of 16.5 feet. It costs her $976 to fence in the yard. If fe
Bumek [7]

Answer:

14 feet

Step-by-step explanation:

To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:

p = 2 * l + 2 * w

Now we know that the total fencing value is $ 976 and that per foot is $ 16

that is, we can calculate the value of the perimeter, like this:

976/16 = 61

We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:

61 = 16.5 * 2 + 2 * w

solving for w:

w = (61 - 33) / 2

w = 14

which means that the width of the patio is 14 feet.

8 0
3 years ago
Two opposite sides of a square with length x are increased by 3 units each and the other two opposite sides are decreased by 3 u
SCORPION-xisa [38]
All four sides of the original square have length s.

Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.

The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,  

and therefore s^2 = 36, and s = 6 square units.
5 0
3 years ago
4,866 to the nearest thousand
Korolek [52]
It would be 4,900.

The number to the right of the 8 is higher than 5 so it goes up
8 0
4 years ago
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4.23<br> +6.51<br> ??????????
Anvisha [2.4K]

Answer:

10.74

Step-by-step explanation:

add both digits in each column

8 0
4 years ago
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The perimeter of a rectangle is 40 m. The length is 4 m more than three times the width. Find the length and the width of the re
galina1969 [7]

Answer:

Width = 4 m, Length = 16 m

Step-by-step explanation:

Perimeter = 40

Width = x

Length = 3x + 4

x + x + 3x + 3x + 4 + 4 = 8x + 8

40 - 8 = 32

32/8 = x

x = 4

Width = 4

Length = 16

Please mark as Brainliest, thank you!

8 0
3 years ago
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