Write each equation in standard form. Identify A, B, and C. 43. y=12x

44. -4y=3x-24

45. 4x=8y-12

46. Word problem: The distance the Green family traveled during their family vacation is given by the equation y=65x, where x represents the number of hours spent driving. How far does the Green family travel in 8 hours?

 The answers are in the steps.

Step-by-step explanation:

A standard form equation says that Ax + By=C

SO we have to set all the equations to be like that.

43.  y = 12x     Subtract 12x from both sides.

    -12x + 1y = 0      In this case -12  is A, 1 is B , and 0 is C.

44 .  -4y =3x -24      subtract 3x from both sides

     -3x - 4y = -24     A is -3 , B is -4, and  C is -24  

45. 4x = 8y - 12         Subtract 8y from both sides.  

   -8y     -8y

  4x - 8y = -12         A is 4, B is -8 and C  is -12  

46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.

y = 65(8)

y= 520  

They traveled 520 miles in 8 hours .

.bjbjk.b,j.l.

step-by-step explanation:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!