Answer:
Two times at (-1,0) and (2.5,0)
Step-by-step explanation:
When the graph intersects or touches x-axis, y is equal to 0
so y = -2x^2 + 3x + 5
=> 0 = -2x^2 + 3x + 5
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = -2
b = 3
c = 5
substitute in the formula
x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)
x = [-3 +/- √(9 + 40)]/(-4)
x = [-3 +/- 7]/(-4)
x1 = (-3 + 7)/(-4) = 4/-4 = -1
x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5
so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times
53.8516 if you are use the Pythagorean theory. You create a triangle making the longest line the C.
i think the answer is 4/11 because the 4 people has a 1% chance out of the 11 people
Answer:
12
Step-by-step explanation:
5(x+3) = 3(2x-1)
5x+15 = 6x-3
15-3 = 6x-5x
12 = x
x = 12
Answer:
62.83185
Step-by-step explanation:
C=2πr=2·π·10≈62.83185