Which of these equations has infinitely many solutions?
a) 1/8(8y − 1) = 2y − 1/4
b) 8x + 24 = −4(2x − 6)
c) −3(6x + 4) + 30x = 12(x − 1)
d) 0.5(4y + 16) = 2y − 8

C: -3(6x + 4 ) + 30x = 12(x-1)

Step-by-step explanation:

A - 1/8(8y -1) = 2y - 1/4

  (8y -1 ) = 16y - 2

  0 = 8y + 1

not infinite, it  has one solution

B - 8x + 24 = -4(2x -6): divive by 4

    2x + 6 = -2x + 6:combine like terms

   4x = 0; not inifite has solution

C - -3(6x + 4) + 30x = 12(x - 1): divide by 3

     -6x - 4 + 10x = 4x - 4: combine like terms

    4x - 4 = 4x - 4: same equation equalling same equation means it is infinite

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.