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3 years ago

If f (x) = 8 (5x - 2) find f (x)

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

f-1(x) = (x - 16)/40

Step-by-step explanation:

Call f(x) = y

Interchange x and y

x = (5y + 2)*8 Remove the brackets

x = 40y + 16 Subtract 16 from both sides

x - 16 = 40y Interchange the left and right sides

40y = x - 16 Divide by 40

y = (x - 16)/40

f-1(x) = (x - 16)/40

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Racheal used a total of 5 1/6 gallons of gas while driving her car. Each hour she was driving, she used 5/9 gallons of gas. What

Andreyy89

Answer: The correct answer is: " 9.3 hours " .

_________________________________

Step-by-step explanation:

_________________________________

To calculate:

Let "gal" represent "gallons (of gas)" ;

Let "h" represent "hour(s)" ;

________________________________

5 $\frac{1}{6}$ gal * (  1 h  ) = ? h ;

( 5/9 gal ) ;

________________________________

Note: On the "left-hand side" of the equation;

The units of "gal" ["gallons"] — "cancel out" ;

→ {since: "gal/ gal = 1"} ;

____________________________

and we can rewrite our equation as:

_____________________________

( 5 $\frac{1}{6}$ )

________ hours ;

( 5/9 )

______________________________ ;

To solve:

_____________________________

5 1/6 ÷ (5/9) =

5 1/6 * (9/5) ;

____________________________

Note: Dividing by a fraction is the same as multiplying by that very fraction's reciprocal form.

__________________________

Now, let us convert "5 1/6" ; which is a "mixed fraction" ; into an

"Improper fraction" ;

__________________________

To do this, we can use the "MAD" method:

__________________________

M: Multiply the "denominator number" of the "fraction portion" [within the "mixed fraction"]—by the "whole number" [within the "mixed fraction" ; In this case: "6" , multiplied by "5" ; to get "30" ;

_________________

Then:

_________________

A: Add this obtained value; to the "numerator number" of the

"fraction portion" [within the "mixed fraction"] ;

In this case: "30" ; added to "1" ; to get 31:

__________________

Then:

D: Divide this number by the "denominator number" of the "fraction portion" [within the "mixed fraction"] ; but instead of solving for the quotient—write in the format of a fraction:

In this case: " $\frac{31}{6}$ " .