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s344n2d4d5 [400]
3 years ago
15

Someone help me understand

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

f¯¹(x) = 23/ (6x + 3)

Step-by-step explanation:

f(x) = (23 – 3x)/6x

The inverse, f¯¹, for the above function can be obtained as follow:

f(x) = (23 – 3x)/6x

Let y be equal to f(x)

Therefore, f(x) = (23 – 3x)/6x will be written as:

y = (23 – 3x)/6x

Next, interchange x and y.

This is illustrated below:

y = (23 – 3x)/6x

x = (23 – 3y)/6y

Next, make y the subject of the above expression. This is illustrated below:

x = (23 – 3y)/6y

Cross multiply

6xy = 23 – 3y

Collect like terms

6xy + 3y = 23

Factorise

y(6x + 3) = 23

Divide both side by (6x + 3)

y = 23/ (6x + 3)

Finally, replace y with f¯¹(x)

y = 23/ (6x + 3)

f¯¹(x) = 23/ (6x + 3)

Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is

f¯¹(x) = 23/ (6x + 3)

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In a class 20 of students, 7 have a cat and
blsea [12.9K]

Answer:

\frac{3}{20}

Step-by-step explanation:

Since there are 20 students, this will be the denominator.

Now, to find how many students have a dog and a cat, you need to subtract all the numbers with 20. The leftover number will be the amount of students.

7+8+8=23

23-20=3

So, there are 3 students who have a dog and a cat.

So, the fraction will be \frac{3}{20}

8 0
3 years ago
Plz answer and im giving a lot of points ; ; oh and its two questions in one
Natali [406]
Please don't ask 2 questions in 1 question



remember that percent is parts out of 100 so x%=x/100
basically just remove the percent sign and move the decimal place 2 places to the left  to convert to fraction

the first one
20 dollars
4.75% tax
15% tip
it depends if you want to tip on the total with tax or without tax
it is better to top on the without-tax value since tax comes from you so
find 4.75% of 20 and add that to 15% of 20 then add that to 20 to get the proper value

scenarios
1. 20+(20 times 4.75%)+(20 times 15%)=23.95
2. ([(20 times 104.75%)] times 115%)=24.09
both are bellow $25 so $25 shoudl be enough to cover it




total cost of a spa treatment of 42 with 6% tax and 20% tip
so you could again do two things:
1. apply tax and give tip on the new amount
2. find the tip and add that to the tax of only 42

scenarios:
1.(42 times 106%) times 120%=$50.4
2. (42 times 20%) +(42 times 106%)=$52.92
it depens on what you tip on
6 0
3 years ago
The rational expression below is also equal to _____?<br>​
Dvinal [7]
The answer is 2 bc I got it right on a quiz
3 0
3 years ago
Jose has scored 562 points on his math test so far this this semester. To get an A for the semester, he must score at least 650
I am Lyosha [343]

Answer:

562 + x ≥ 650

x ≥ 88

Step-by-step explanation:

He has 562 points.  He needs x points to get an A.  He must get at least 60 points to get an A.

562 + x ≥ 650

To solve this, we subtract 562 from each side

562-562 + x ≥ 650-562

x  ≥ 650-562

x ≥ 88

6 0
3 years ago
Proportions - if 1 subscription costs $21, how much is 28 subscriptions?
Len [333]
1 subscription = $21
28 subscriptions = x
You know 1 subscription is $21
You want to find out how much 28 subscriptions are
Multiply 28 (subscriptions) by 21 ($ per subscription)
28 x 21 = 588
28 subscriptions cost $588
If you would like the formula to find out how many subscriptions cost hat amount of money,
21x = y
x is how many subscriptions you want, while y is the total cost of the money
6 0
3 years ago
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