A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)
hello,
Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party. He put all the addresses in a bag and drew a random sample of 30 addresses. He then asked those families if they would help organize the fund-raising party. He found that 12% of the families would help organize the party. He claims that 12% of the neighborhood families would be expected to help organize the party. Is this a valid inference?
Yes, this is a valid inference because the 30 families speak for the whole neighborhood
it's the correct one because if he ask 30 families so they talk to their neighborhood so its will be 60 ;) so its correct,
hope this help
Step-by-step explanation:
5x + 80 = 180
x = 20
2x = 40
3x=60
7x=140
I will take you the steps to obtain the slopes passing two points
step 1 : list the parameters
step 2: Apply the equation to obtain the slope between two points
1) expand the brackets
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
