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IgorC [24]
3 years ago
10

Find the inverse of y=1/2x+6. Show steps

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

y = 2x - 12

Step-by-step explanation:

To find the inverse of a function, you switch x and y and solve for y.

x = 1/2 y + 6                 switch x and y

x - 6 = 1/2 y                  subtract 6 from both sides

2x - 12 = y                    multiply both sides by 2

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What is the ordered pair solution for y>= 1/3x+4
blondinia [14]

Answer:

Step-by-step explanation:

y > (1/3)x + 4 has an infinite number of solutions.  Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line.  For example, pick (1, 6).  Substitute 1 for x in y > (1/3)x + 4 and 6 for y.  Is the resulting inequality true?  Is 6 > (1/3)(1) + 4 true?  YES.  So we know that (1, 6) is a solution of y > (1/3)x + 4.  Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.

6 0
3 years ago
Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.
NARA [144]

Answer:

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

Step-by-step explanation:

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

6 0
3 years ago
What is the solution to the linear equation?
patriot [66]
Equation:  2/5 + p = 4/5 + 3/5p

Simplify Both Sides:
p + 2/5 = 3/5p + 4/5

Subtract 3/5p from both sides:
p + 2/5 - 3/5p = 3/5p + 4/5 - 3/5p

2/5p + 2/5 = 4/5

Subtract 2/5 from both sides:
2/5p + 2/5 - 2/5 = 4/5 - 2/5

2/5p = 2/5

Multiply both sides by 5/2

(5/2) * (2/5p) = (5/2) * (2/5)

p  =  1


Answer:  p  =  1





Hope that helps!!! (Answer:   Letter Choice (A),  p  =  1







8 0
3 years ago
The cafeteria serves pizza every 10 days and corn every 4 days. If they are serving pizza and corn today, in how many days will
alisha [4.7K]

Answer:

Well it would be 100 days

Step-by-step explanation:

Because they had pizza every ten days and if you add 5 days a week that's 50 days they sell pizza. If your talking corn they sell it every 4 days times 5 days a week that's 20 days of corn. Then you do 50 x 20 and then you get 100 days of pizza and corn, so it would be 100 days before they sell pizza and corn together again!

6 0
3 years ago
How to change 3/4 to twelfths
ruslelena [56]
<span>Multiply both sides of the fraction by 3.

3/4 = 9/12 </span>
6 0
3 years ago
Read 2 more answers
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