Answer:
x = -5 + √65/2 or
x = -5 - √65/2
Step-by-step explanation:
-2x² - 5x + 5 = 0
2x² + 5x - 5 = 0
Here,
a = 2
b = 5
c = - 5
Now,
Discriminant
<em><u>D = b² - 4ac</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>= (5)² - 4(2)(-5)
= 25 + 40
= 65
<u>D = 65 > 0</u>
Then,
x = -b +-√b² - 4ac/2a
x = -5 +-√(5)² - 4(2)(-5)/2(2)
= -5 +-√25 + 40/4
= -5 +-√65/4
= -5 +-√65/2
<em><u>x = -5 + √65/2 or x = -5 - √65/2</u></em>
38+39+40 = 117.
So the first of the three numbers is 38.
There are 145 total pieces . you must first convert 20% to a decimal by placing a decimal point two places from the right. 20% = .20
then you mulitiply 145 x .20 = 29
So, Cathy owns 29 pieces of yellow clothing.
Multiply the cost by 1.2 (120%) to add 20% tip, and then multiply by 0.85 (85%) to take off 15%
78.96 x 1.2 x 0.85 = 80.54
Parallel lines has equal slopes.
Line y = 3x + 2 has a slope of 3.
Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7