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finlep [7]
2 years ago
10

Determine whether f(x)=5x+1/x and g(x)=x/5x+1 are inverse function. EXPLAIN how you know?

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0
Ok to figure out if one is an inverse function, you plug in y for x and substitute f(x) with x and solve for y.

We only have to do this for 1 of the functions so we will take f(x)

x = 5y +1/y

I’m not sure you can solve for y here therefore g(x) is not an inverse function of f(x)
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17 Q Graph the inequality n a coordinate plane
aliina [53]
The resultant graph is shown in the attached image.

Explanation:
Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5

Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line. 
To know the region, you will simply use trial and error method for random points on the two sides of the line.

The final solution would be as shown in that attachment.

Hope this helps :)

7 0
3 years ago
The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,
Lynna [10]

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

8 0
3 years ago
Solution set of 3x - ( 2x + 8 )= -6
Hunter-Best [27]
3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2
6 0
3 years ago
If a change dispenser contains 32 coins consisting of
swat32
<h3>Answer:  19 dimes</h3>

=================================================

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

-------------------------------

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

6 0
3 years ago
Suppose you obtain a $3,000 T-note with a 3% annual rate and maturity in 5 years. How much interest will you earn?
Gennadij [26K]
Hi there

483.55$ in interest

Hope I helped <3
7 0
3 years ago
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