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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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daren has 10 sweets .hellen has 30 sweets.faith has 4 fewer sweets than the average number of sweets daren,hellenand faith have.
Sunny_sXe [5.5K]

Answer:

16

Step-by-step explanation:

Average = the sum of all numbers divided by the amount of items in the set, so:

10+30=40

40/2=20

20-4=16

Hopefully this helps :) Good luck!

8 0
3 years ago
I REALLY NEED HELP PLEASE HELP ME :(
o-na [289]

Answer:

I may be wrong but I think 8 is your answer.

Step-by-step explanation:

(-1)^(3/7)  x 128^(3/7)

-1 x 128^3/7

128^(3/7) = 8

= 8

6 0
3 years ago
Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.
Nataly [62]

Answer:

y= -3x +4

Step-by-step explanation:

If the lines are parallel, the slopes are the same

so if a line is parallel to y =3x-10, the slope is also m=3

using y= mx+b

y = 3x+b

we can pick any b but -10 because that would make it the same line


4 0
3 years ago
Read 2 more answers
A gerbil cage,priced at $18, is discounted 20% for one week, and then this price is marked up 20%. is the price back to 20% expl
stiks02 [169]
No, it isn't!

first, the discount is 20 percent of 18 dollars, that is 18/5=3.6

this means that during the first week the prize is 18-3.6=14.4

now, the prize is marked up 20 % of 14.4! this is 2.88

so the prize later will be 14.4+2.88, that is 17.28, not 18

what is relevant here is what a number is a percent OF
6 0
3 years ago
Your car's back window is in the shape of a trapezoid with the dimensions shown. The 1616-inch window wiper cleans a part of the
ExtremeBDS [4]
<span>Semicircle area = circle area / 2 = (pi*r^2)/2 16 in is the radius. Let's call the area of this semicircle s. 3.14*16^2=s

</span><span>Trapezoid area = ((base 1 + base 2) / 2) * h Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t. (44+36)/2 *20 = t
</span>
<span>We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid. t - s = uncleaned area [(44+36)/2 * 20] - [3.14 * 16^2] = uncleaned area</span>
5 0
3 years ago
Read 2 more answers
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