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sweet-ann [11.9K]
3 years ago
15

If f(x)=2x-3/5 , which of the following is the inverse of f(x)?

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

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A football coach walks 12 meters westward, then 16 meters eastward,
tino4ka555 [31]

Answer:

Total distance traveled = 56 m

Total displacement is 12 m

Direction of coach is westward

Step-by-step explanation:

It is given that football coach first go 12 meter westward then 16 meter eastward.

So no position of coach in eastward direction = 16 - 12 = 4 m

And then 22 m west westward

Therefore position of coach now is 22-4 = 18 m westward

And finally 6 m eastward

Therefore final position of coach is 18-6= 12 m westward

So displacement of coach is 12 m and direction is westward.

Total distance traveled = 12+16+22+6= 56 m

4 0
3 years ago
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one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.
Debora [2.8K]

1  \div 3x = 22 - x
3 0
3 years ago
N 25 hour, Matt can type 45 page. <br><br> What is Matt's rate in pages per hour?
Kryger [21]
You can divide 45 by by 25 to get the pages per hour and it’s 1.8
5 0
3 years ago
Of the cartons produced by a company, 8% have a puncture, 7% have a smashed corner, and 0.7% have both a puncture and a smashed
Viktor [21]

Answer:

The probability that a randomly selected carton has a puncture or a smashed corner is 0.143

Step-by-step explanation:

we know that P(A∪B) = P(A) + P(B) - P(A∩B).

    since given that P(A) = Probability of getting puncture = 0.08

                                P(B) = probability of getting smashed corner = 0.07

                       P(A∩B) = probability of getting both puncture and smashed corner = 0.007

                    P(A∪B) = probability of getting any of them

   so P(A∪B) = 0.08 + 0.07 -0.007 = O.143

5 0
3 years ago
3x²-9x+1+0 Find the discriminant
Sindrei [870]

Answer:

\boxed{D = 69}

Step-by-step explanation:

The given quadratic equation is:

3x^2-9x+1 = 0

Comparing it with the standard form of Quadratic Equation ax^2+bx+c = 0 , we get:

a = 3, b = -9 and c = 1

Discriminant = b² - 4ac

D = (-9)²-4(3)(1)

D = 81 - 12

D = 69

3 0
3 years ago
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