Solve this equation by factorization. a) 4/3 x^2 - 2x + 3/4 = 0

For ease in factoring this equation, multiply all terms by the LCD (which is 3*4, or 12) to remove the fractions:

16x^2 - 24x + 9 = 0

From here the factoring process is straightforward.  The square root of 16x^2 is 4x and that of 9 is 3, so try this set of factors:

(4x-3)(4x-3) = 0.  This does indeed multiply out to 16x^2 - 24x + 9 = 0, which is equivalent to the given 4/3 x^2 - 2x + 3/4 = 0.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: