That’s how you solve complex numbers.
Answer:
y=5x-78
Step-by-step explanation:
y=5x+b
first plug in -3 for y and 15 for x
-3=5(15)+b
-3=75+b
subtract 75 on both sides
-78=b
y=5x-78
Answer:
3rd answer f(x) = 3(x-8)(x+2)
Step-by-step explanation:
The x-intercepts are the points at which the parabola intersects the x-axis.
Function y = a(x - r₁)(x - r₂) is in factored form, where r₁ and r₂ are x-intercepts so if r₁ = 8 and r₂ = -2 then
y = a (x-8)(x-(-2))=a(x-8)(x+2)
For y intercept plug in (0,-48) in equation and calculate a:
-48 = a (0-8)(0+2)
-48 = a(-8)(+2)
-48 = -16a divide by -16
a = 3
Function is y = 3(x-8)(x+2)
If you meant that 1 ball can complete a full rotation in 120 mins then to have a 180 min rotation you need 1.5 balls.
Answer:
17. A positive slope moves upward on a graph from left to right. A negative slope moves downward on a graph from left to right.
18. Zero slope means that the line is horizontal. Just like the line that makes the top of a “Z” is horizontal. No slope means that the line is vertical.
19. Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
20. Yes, they did because 2/6 is equivalent to 1/3.
21. A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.