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butalik [34]
3 years ago
11

If f(x) =2x/X-5Find f^-1(x).​

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Step-by-step explanation:

Let f(x)=y

y=2x/X-5

y(x-5)=2x

xy-5y=2x

x(y-2)=5y

x=5y/y-2

Apply x=5y/y-2, on f(x)

f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]

=(10y/y-2)/[(5y-5y+10)/y-2]

=10y/10

=y

So f^-1(x)=5y/y-2

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What is the missing angle measure? ​
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Answer:

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x = 75°

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Abram payed $12.50 for the cab ride in all.

7 0
3 years ago
Solve for y y−(−10)=−41
aliina [53]

Answer:

y = -51

Step-by-step explanation:

y - (-10) = -41

Subtracting a negative number: - (-10) is the same as just adding a positive number + 10, so we'll use this to simplify the expression.

y + 10 = -41

Now, we can subtract 10 from both sides of the equation in order to isolate y.

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This means the equation is now:

y = -51

Let's check this answer:

Input -51 as y:

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-41 = -41

It works!

This means y = -51 is the answer!

8 0
3 years ago
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A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing tha
Aliun [14]

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

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y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

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53.75x≤230-15

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According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

5 0
3 years ago
A rectangular-based pyramid has a height of 5” and the base measurements are 4”and 5”. Find the volume of the pyramid.
Svetach [21]

Answer:

The volume of the pyramid is 33.33 cubic inches

Step-by-step explanation:

we know that

The volume of the rectangular bases pyramid is given by the formula

V=\frac{1}{3}Bh

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h is the height of pyramid

we have

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substitute

V=\frac{1}{3}20(5)=33.33\ in^3

6 0
4 years ago
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