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Archy [21]
3 years ago
7

DetermIne the inverse function of f(x) = 1/3 + 6 Please show work

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

f(x)⁻¹ = 3x - 18

Step-by-step explanation:

I'm going to assume that 1/3 is the coefficient of the x.

f(x) = 1/3x + 6

y = 1/3x + 6

x = 1/3y + 6

x - 6 = 1/3y

3x - 18 = y

f(x)⁻¹ = 3x - 18

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Solve the system of equations using the tables below
Bezzdna [24]

Answer:

  (x, y) = (0, 3)

Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

7 0
3 years ago
The ordered pair (a,b) satisfies the inequality y>x+10. Which statement is true?
Morgarella [4.7K]

Answer:

b-a>10\\\\Difference\ of\ b\ and\ a\ is\ greater\ than\ 10.

Step-by-step explanation:

Ordered Pair: In an ordered pair (p,q) first value that is p represents x-value and second value(q) represents y-value.

Given\ inequality\ y>x+10\\\\Ordered\ pair (a,b)\ satisfies\ the\ inequality\\\\Hence\ x=a,\ y=b\\\\Substitute\ these\ values\ in\ the\ inequality.\\\\b>a+10\\\\\Rightarrow b-a>10\\\\That\ means\ difference\ of\ b\ and\ a\ is\ greater\ than\ 10.

5 0
4 years ago
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Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give th
ValentinkaMS [17]

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

<h3>How many more distance does the average race car travels than the average consumer car?</h3>

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

  • v' - Speed of the average race car, in miles per hour.
  • v - Speed of the average consumer car, in miles per hour.
  • t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

To learn more on uniform rectilinear motion: brainly.com/question/10153269

#SPJ1

4 0
1 year ago
2(b+3c) equivalent expressions<br>Options: <br><br>3(b+2c)<br>(b+3c) +(b+3c)<br>None of the above
Lana71 [14]
2(b + 3c) → We first need to simplify this.

Simplify.

2b + 6c

1st Option : 

3(b + 2c)

Simplify.

3b + 6c

This is INCORRECT, as it is not equal to 2b + 6c.

2nd Option :

(b + 3c) + (b + 3c)

Simplify.

2b + 6c

This is CORRECT because 2b+6c = 2b+6c

(b + 3c) + (b + 3c)  → Answer

~Hope I helped!~



5 0
3 years ago
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