<span>Tan(2x) ‒ 1/Tan(2x) = 0 \\ clear the denominators by multiplying both sides by Tan(2x) </span>
<span>Tan²(2x) ‒ 1 = 0 as long as Tan(2x) exists and ≠ 0 </span>
<span>Tan²(2x) = 1 so Tan(2x) = -1 or Tan(2x) = 1 </span>
<span>Therefore, 2x = 45° or x = 22.5° or 2x = -45° or x = -22.5° </span>
<span>There are many other values of x that work but not between -180° and 180°. </span>
Answer:
The answer would be 3
Step-by-step explanation:
7x^2 -10x +3 = 0
Use the quadratic formula
a = 7 b = -10 c=3
x= [--10 +-sq rt(100 - 4*7*3)] / 2*7
x= [--10 +-sq rt(100 - 84)] / 14
x= [10 +-4] / 14
x1 = 14/14 = 1
x2 = ([6] / 14) = 3/7
Answer:
The seventh-grade class earned more money in September by $36
Step-by-step explanation:
a)
The price of flowers in September was $1.50. In October, the price went up 20%
The increase in the price was 20*1.50/100=$0.30. So the new price is $1.80
$1.80
b) In September, the seventh-grade class sold 900 flowers for
900*1.50 = $1,350. They earned 40% of it, that is
40*1,350/100 = $540
In October they sold 700 flowers for
700*1.80 = $1260. They earned 40% of it
40*1260/100 = $504
The difference was $540-$504=$36
The seventh-grade class earned more money in September by $36