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aev [14]
3 years ago
8

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Mathematics
1 answer:
Elis [28]3 years ago
4 0
Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

y = 6x - 3 \\ x = 6y - 3

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
x = 6y - 3

Add 3.
x + 3 = 6y

Switch sides.
6y = x + 3

Divide both sides by 6.
y =  \frac{1}{6}  x+  \frac{3}{6}  \\ y =  \frac{1}{6} x +  \frac{1}{2}

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
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Answer:

A function is a relation in which each possible input value leads to exactly one output value

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How long would it take to travel 315 mi at the rate of 45 mi/h ?
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7 Hours. 315 divided by 45 equals 7. 
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Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Nutka1998 [239]
0.24 is an even number....so 2 will be a factor

2x = 0.24
x = 0.24 / 2
x = 0.12

so 2 factors would be 2 and 0.12.....because 2 * 0.12 = 0.24
6 0
3 years ago
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Please help me with this. Just have to write the equation. If you can solve, then you get brainliest guaranteed!
Temka [501]

x = player1

y = player 2

z = player 3

y = 2x  or 1/2 y =x

y = z-10  or z = y+10

x+y+z=70

substitute x= 1/2 y and z = y+10 into the above equation

1/2y + y + y+10 = 70

2.5 y + 10 = 70

subtract 10 from each side

2.5 y = 60

divide by 2.5 on each side

y = 60/2.5

y =24

x = 1/2 y

x = 1/2 *24 = 12

z = y+10 = 24+10 = 34

The three players scored 12, 24, 34


4 0
3 years ago
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a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
3 years ago
Read 2 more answers
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