A tautology will have an infinite number of solutions, as it is true for all possible values of the variable by definition.
Example: 3(x+2) = 3x+6
All other linear equations in one variable will have one solution, which may include values that are undefined or indeterminate.
Examples:
... 3x-2 = 7 . . . solution is x=3
... x = 0/0 . . . . solution is an indeterminate number
... x = 1/0 . . . . solution is undefined
It is the last one. A closed circle means less than or equal to, so that crosses out the top two. The third says five is greater and we know that is not true because the line is decreasing in value. It must be the fourth.
14 x 4 = 56
Jonia needs 56 tablets to fill Mr. Robinson’s prescription.
5 divided by 1/4 is 20, so he will have 20 pieces of 1/4 meter twine
It is a square trinomial:
4v^2 - 16v + 7 = 0
lets multiply and divide all by 4, the square term coefficient:
(16v^2 - 16(4)v + 28)(1/4) = 0
(4v - 14)(4v - 2)<span>(1/4) = 0
</span>factor 1/4
(4v - 14)(4v - 2)(1/2)<span>(1/2)</span> = 0
and divide each:
(2v - 7)(2v - 1) = 0
