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aliya0001 [1]
3 years ago
14

What is the inverse of the function below? f(x)= x/3 -2

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

The inverse is g(x) = 3x + 6

Step-by-step explanation:

f(x) = x/3 - 2

y = x/3 - 2

To find the inverse, swap x and y, then put it in y = mx + b

x = y/3 - 2

y/3 = x + 2

y = 3x + 6

g(x) = 3x + 6

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A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI
Vadim26 [7]

Answer: Hence, our required probability is \dfrac{1}{386206920}

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

4 0
3 years ago
Angeline bought p yards of polyester fabric priced at $4.25. per yard, and c yards of cotton
satela [25.4K]

Answer:

A. 4.25p + 3.79c

b. 28.83

Step-by-step explanation:

4.25 x 5 = 21.25

3.79 x 2 = 7.58

7 0
3 years ago
Estimate 2.8 divided by 6
marin [14]

\huge\fcolorbox{blue}{Red}{Solution→}

  • 2.8 ÷ 6 = 0.4666666.... it will continue
  • The estimate would be the round off of the Actual answer which would be 0.5 since 0.46666.. is closer to 5
3 0
2 years ago
Read 2 more answers
Whats $2.65 round to the nearest tenth
Sveta_85 [38]

Answer: 2.7 or in money form $2.70

Step-by-step explanation:

5 0
3 years ago
Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!
kupik [55]

Answer:

The equation of required line is: \mathbf{5x-8y+34=0}

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to 5x-8y+12=0 and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line  5x-8y+12=0 to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: y=mx+b where m is slope.

5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}

So, the slope m = 5/8

The slope of required line is m=\frac{5}{8}

Now finding y-intercept using slope m=\frac{5}{8} and point(-2,3)

y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}

So, the equation of required line having slope m=\frac{5}{8}  and y-intercept b=\frac{17}{4}

y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8}  \\8y=5x+34\\5x-8y+34=0

So, The equation of required line is: \mathbf{5x-8y+34=0}

3 0
2 years ago
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