If f(x) = 7 + 4x and g (x) = startfraction 1 over 2 x endfraction, what is the value of (startfraction f over g endfraction) (5)? eleven-halves startfraction 27 over 10 endfraction 160 270

= 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) =

* We want to find

- Lets find at first

∵ f(x) = 7 + 4x

∵ g(x) =

∴

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is

∴ (7 + 4x) ÷

- Lets reverse the division sign to multiplication sign and reciprocal

  the fraction after the division sign

∴ (7 + 4x) ×

∴ = 2x(7 + 4x)

∴ = 14x + 8x²

- Now substitute x by 5

∴   = 14(5) + 8(5)² = 70 + 200 = 270

∴   = 270

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3