$\dfrac{x}{-2}=4\ \ \ |multiply\ both\ sides\ by\ (-2)\\\\(-2)\cdot\dfrac{x}{-2}=(-2)\cdot4\\\\\boxed{x=-8}\\\\\dfrac{x}{3}+13=13\ \ \ |subtract\ 13\ from\ both\ sides\\\\\dfrac{x}{3}+13-13=13-13\\\\\dfrac{x}{3}=0\ \ \ |multpily\ both\ sides\ by\ 3\\\\\not3^1\cdot\dfrac{x}{\not3_1}=0\\\\\boxed{x=0}$

$\dfrac{z}{2}+2=4\ \ \ |subtract\ 2\ from\ both\ sides\\\\\dfrac{z}{2}+2-2=4-2\\\\\dfrac{z}{2}=2\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\\not2^1\cdot\dfrac{z}{\not2_1}=2\cdot2\\\\\boxed{z=4}$

6 0

3 years ago

Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates.

Veseljchak [2.6K]

Answer:

Function with smallest zero is:

f(x); (2, 0).

Step-by-step explanation:

f(x):

2x2 − 14x + 20 = 0

x^2 - 7x + 10 = 0

(x - 5)(x - 2) = 0

So the zeroes are (2, 0) and (5, 0)

g(x):

From the table:

when g(x) = 0, x =19 so its zero is (19, 0).

3 0

2 years ago