Answer:
x = -1.2
Step-by-step explanation:
Th given equation is :
34(x + 4) = 14(x + 8)
Step (A) Distribute 34 on the left side of the equation such as :
34x + 34(4) = 14(x + 8)
34x + 136 = 14(x + 8)
Step (B) Distribute 14 on the right side of the equation such as :
34x + 136 = 14x + 14(8)
34x + 136 = 14x + 112
Step (C) Subtract 14x from each side of the equation.
34x + 136 - 14x = 14x + 112 -14x
20x + 136 = 112
Step (D) Subtract 136 from each side of the equation.
20x + 136 -136 = 112 -136
20x = -24
Step (E) Divide both side by 20

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.
Since
, by the remainder theorem this means that <em>x</em> - 6 divides <em>f(x)</em> exactly. This means there are constants <em>a</em>, <em>b</em>, and <em>c</em> such that

Multiplying both sides by <em>x</em> - 6 gives

Then <em>a</em>, <em>b</em>, <em>c</em> satisfy

and solving this system gives <em>a</em> = 2, <em>b</em> = -7, and <em>c</em> = 3.
So, we have

The quadratic term can be factored as

which leaves us with

so that the zeros of <em>f(x)</em> are 6, 1/2, and 3.
Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that
y = kx,
The relation is often denoted, using the ∝ symbol, as
y ∝ x
in this case k = 5/1