G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)
= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)
g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0
x = 2 or x = 0.5
Answer:
8/9
Step-by-step explanation:
To get a fraction into the simplest form you need to find a common multiple that could divide into both the numerator and the denominator. Then it will decrease.
32 / 4 = 8
36 / 4 = 9
I hope this helps :D
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
X-9=-13 because the 9 doesn't do with any of the others after the variable
Since $12,000 would be her whole current salary, I would just divide $84,000 by $12,000 because i know 12 can go into 84 evenly.
84,000 ÷ 12,000 = 7
Since it goes in to 84,000 evenly by 7 times, the raise would be 700%.
