Answer:
Equation 1 is the equation which represents the graph.
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
Answer:
x = 40/3
Step-by-step explanation:
2/3 = (8/x) + 6
-6 -6
2/3 - 6 = -16/3
-16/3 = 8/x
*x *x
(-16/3)x = 8
+16/3 +16/3
x = 40/3
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
