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svlad2 [7]
3 years ago
6

Graph the relation and it's inverse. Use open circles to graph the points of the inverse

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0

we are given

relation as

R={(0,3) (4,2) (9,7) (10, -1)}

now, we can find it's inverse

It's inverse will be switching  of x and y value

y-value will become x-value and x-value will become y-value

so, we get

R^-1={(3,0) (2,4) (7,9) (-1,10)}

now, we can draw graph


joja [24]3 years ago
3 0

Step-by-step explanation:

We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.

It is required to graph the function and its inverse.

As we know that, the inverse of a function is reflected by y=x line on the graph.

So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).

Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.

So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.

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4 years ago
Each sequence below gives an explicit formula. Write the first five terms of each sequence. Then, write a recursive
Bas_tet [7]

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.

Step-by-step explanation:

Since we need to find the first 5 values  we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that  n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

a_{1}  = 2(1) + 10 = 12\\ a_{2} = 2(2) + 10 = 14\\  a_{3} = 2(3) + 10 = 16\\  a_{4} = 2(4) + 10 = 18\\ a_{5} = 2(5) + 10 = 20

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e a_{1} = 12 and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

a_{1} = 12

a_{n} = a_{n-1}  + 2

The over all formula is as follow

\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.

8 0
3 years ago
Express the fractions 1/2, 3/16, and 7/8 with an LCD
Marat540 [252]
8/16. 3/16. 14/16........
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3 years ago
The mean of Fred’s grades on five tests was 75.2. The grades on the first 4 of these tests were 87, 84, 88, and 45. Find the gra
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88+87+84+45 = 304
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3 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle below?
Maru [420]

Answer:

Option (E)

Step-by-step explanation:

In the figure attached,

Given a isosceles right triangle with two equal legs measuring 3\sqrt{2} units

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Since, hypotenuse = h

Leg 1 = Leg 2 = 3√2

Now we substitute the values,

h² = (3√2)² + (3√2)²

h² = 18 + 18

h = √36

h = 6 units

Therefore, length of the hypotenuse is 6 units.

Option (E) will be the answer.

8 0
3 years ago
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