First, distribute the parenthesis:
(2x - 4) (4x - 5) = 8x - 20
\___\_/___/
| |
2x * 4x, 4 * 5
Then you add 20 to both sides
8x - 20 = 0
+20 +20
8x = 20
Then you divide both sides by 8
$\frac{8x = 20}{8}$
x = 2.5

I think I did that right... I don't quite remember what a solution set is

5 0

3 years ago

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What are the coordinates of the vertex of the graph of f(x) = -3 |x-1|? I need help in how to solve it.

Katyanochek1 [597]

Answer: f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.

now, what value of "x" makes the absolute value expression to 0?

well, let's just set it to 0 and check,

x - 1 = 0

x = 1

so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at

f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )

4 0

3 years ago