How do you find the f(x) inverse using fractions?

Answers

Answer 1

Answer: for example.. 1) switch places of x and y. x=3y+1 x=3 y +1
2) try to solve for y. so multiply the denominator by x to get rid of it
3) after multiplying, ur left with xy+x=3 x y + x=3
4) that converts to 2xy= x y =3
5) get rid of 2x on left by placing it on the right
6) convert y to inverse function

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You have 5 pounds and 10 ounces of laundry. Your washer has a capacity of 7 pounds. How many more ounces of laundry would you need to make a full load?

Answers

7 pounds = 16 pounds and 1 pound = 6 pounds and 16 ounces.

(6 pounds + 16 ounces) minus (5 pounds + 10 ounces) = 1 pound + 6 ounces

(6pounds+16ounces)-(5pounds+10ounces)=1pounds +6ounces

A vendor sells hot dogs and bags of potato chips. A customer buys 5 hotdogs and 2 bags of potato chips for $11.50. Another customer buys 3 hotdogs and 5 bags of potato chips for $9.75. Find the cost of each items.

Answers

Answer:

Hotdogs cost $2 and potato crisps $0.75.

Step-by-step explanation:

Let the hotdogs cost $h and the crisps $p

5h + 2p = 11.5

3h + 5p = 9.75

Multiply the first equation by -5 and the second by 2:

-25h - 10p = -57.5

6h + 10p = 19.5 Adding these 2 equations:

-19h = -38

h = $2.

Substitute h = 2 into the first equation:

5h + 2p = 11.5

10 + 2p = 11.5

2p = 1.5

p = $0.75.

Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A

Answers

$A=x\n\nsin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\n\nL=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\n-------------------------------\nsin3x=sin(2x+x)=sin2xcosx+sinxcos2x\n=2sinxcosxcosx+sinx(cos^2x-sin^2x)\n=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\n-------------------------------$

$sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\n=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\n=3sinxcos^4x-4sin^3xcos^2x+sin^5x\n-------------------------------$

$cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\n=cosx(cos^2x-sin^2x)-2sinxcosxsinx\n=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\n-------------------------------$

$sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\n=2sinxcos^4x-6sin^3xcos^2x\n-------------------------------$

$(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\n\n=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R$

$=======================================\n\nsin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\n\ncos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\n\nsin2\alpha=2sin\alpha cos\alpha\n\ncos\alpha=cos^2\alpha-sin^2\alpha$

I HAVE ASKED THIS QUESTION LIKE 8 TIMES TODAY AND NO ONE WILL HELP ME:( PLEASE HELP ME I BEG YOU GUYS!!!A radioactive substance decays at a rate of 2% per day. If there are 50 grams of the
substance left after 34 days, how much was there at the beginning of the 34 days?
Round to two decimal places.

Answers

Answer:

156.25 grams

Step-by-step explanation:

Well, for starters we know that the substance decays by 2% each day and its been decaying for 34 days. Therefore, the substance has decayed by 68%

34 x 2 = 68

Hence, 50 grams is 32% because the substance has already decayed by 68%

100 - 68 = 32

So now we know 50 grams is 32%. Now we need to find how much 100% is.

50 - 32%

X - 100%

We cross multiply.

50 x 100 = 5000

And divide.

5000 / 32 = 156.25

Thus, in the beginning, there were 156.25 grams in the substance.

Hope this helps! :)

they've invested to earn $20 in a savings account that offer 3% return on the investment the value of david's investment will be at least $400 after a period of

Answers

I=PRT
P=present amount
R=rate
T=time
basically
20+interest is more than or equal to 400
20+I>400
minus 20 both sides
I>380

solve
P=20
R=3%=0.03
T=?
I=PRT
380<I=PRT
380<20(0.03)(T)
380<0.6T
divide both sides by 0.6
633.33333<T
633.33 years at least

Answer:T=20

Step-by-step explanation:

Plato

If the simple interest on $4000 for 9 years is $1800, then what is the interest rate.

Answers

Answer:

9% or 0.09

Step-by-step explanation:

so 1800/4000 is .45 then we do .45/5 which is 0.09 and if u wanna double check do 4000 x 0.09 then that gives us 360 then we do 360 x 5 for 5 years that you've been investing which leaves us with 1800 which is the interest you got.

Answer:

Step-by-step explanation:

4000 × 9 × r = 1800

r = 1800/36000

r = 0.05 × 100

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