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nevsk [136]
3 years ago
7

Which function is the inverse of f(x) = –5x – 4?

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer:

f^(-1)(x) = \frac{-1}{5} (x+4)

Step-by-step explanation:

Given is a function

f(x) = -5x-4\\

To find its inverse.

We must check whether f is one to one or onto first

If -5x1-4 = -5x2-4 we get x1=x2

Hence f is one to one

Also for every f(x) we can find a x so f is onto.

So inverse exists

Let

y=-5x-4\\-5x=y+4\\x=\frac{-1}{5} (y+4)

Replace x by f inverse and y by x

f^(-1)(x) = \frac{-1}{5} (x+4)

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WINSTONCH [101]

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

3 0
2 years ago
Find the values of x and y for which the lines are parallel.
prisoha [69]
This problem is accompanied by a figure.

You can infere these relationships from the figure

(x-5)° = 74° => x = 74 + 5 = 79°

(x-5)° + 58° + (y-1)° = 180 ° => 74 + 58 + y-1 = 180 =>

y = 180 + 1 - 58 - 74 = 47°

Answer: x = 79°, y = 47°. This is the option d)


5 0
3 years ago
If a= 35 then find b
KengaRu [80]

9514 1404 393

Answer:

  35

Step-by-step explanation:

All of the marked angles subtend the same arc, so all have the same measure.

  a = b = c = d = 35

  b = 35

8 0
3 years ago
Written form of 73,046
Helen [10]
73,046 in written form is seventy three thousand forty six
6 0
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Read 2 more answers
Name a point that is the square root of 2 away from(-1,5)
DerKrebs [107]

Answer:

Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2

Step-by-step explanation:

circle: (x + 1)² + (y - 5)² = 2

3 0
3 years ago
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