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Nostrana [21]
2 years ago
6

Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .

Mathematics
1 answer:
kompoz [17]2 years ago
5 0
Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
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Solve this equation 6(4.5y-12)=9
irinina [24]
6(4.5y - 12) = 9

(4.5y - 12) = 9/6

4.5y - 12 = 1.5

4.5y = 1.5 + 12

4.5y = 13.5

y = 13.5/4.5

y = 3 
6 0
4 years ago
THe question asked what is 0.35 written as a ratio?
Masja [62]
Step 1: 0.35 = 35⁄100 
Step 2: Simplify 35⁄100 = 7⁄20
answer: 7/20
5 0
4 years ago
$750,000 is what percent of $3,000,000?<br> Please help
velikii [3]

Answer:

25

Step-by-step explanation:

Solution for 750000 is what percent of 3000000:

750000:3000000*100 =

(750000*100):3000000 =

75000000:3000000 = 25

Now we have: 750000 is what percent of 3000000 = 25

Question: 750000 is what percent of 3000000?

Percentage solution with steps:

Step 1: We make the assumption that 3000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=3000000$100%=3000000​.

Step 4: In the same vein, $x\%=750000$x%=750000​.

Step 5: This gives us a pair of simple equations:

$100\%=3000000(1)$100%=3000000(1)​.

$x\%=750000(2)$x%=750000(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{3000000}{750000}$

100%

x%​=

3000000

750000​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{750000}{3000000}$

x%

100%​=

750000

3000000​​

$\Rightarrow x=25\%$⇒x=25%​

3 0
3 years ago
Find four consecutive integers with the sum 414
o-na [289]
3, 6 ,9, 23.46,69,138. and 207
3 0
4 years ago
Read 2 more answers
Choose the best description of the relation shown below:
Gre4nikov [31]

There is a rule:

One input(x-value) can only have one output(y-value) in order to be a function.

If one input has more than one output, it is not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

(2,10),(4,15),(6,20),(8,25)

This is a function because each input only has one output.

Your answer is A

3 0
3 years ago
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