I think the answer is B? They didn't say whether point P is in the centre of the circle, so the answer could also actually be D. But assuming that P is the centre point of the circle, the answer should be B.
AP (7mm) > Radius of circle p (6mm)
meaning that the line should extend out of the circle from the centre of it and thus produce one intersection.
As for the rest of the line, BP,
BP (3mm) < Radius of circle p (6mm)
meaning that if the distance of point P to point B is shorter than the distance of point p from the line of the circle (this distance being the radius), it should not make another intersection.
Therefore, there is only 1 intersection and the answer should be B (if point P is the middle of circle p)
This can occur through a parabola that has zeroes at x = 3 and x = -3. There is no rate of change because the y values do not change at those points because they are both 0. Karly can be correct because that turning point can be a vertex of a parabola. The parabola's function would increase until it reaches it's highest point and then go back down again. In this way, Karly and Tucker can both be correct.
Hope this helps :)
The slope of your line is 3/4 because your y-intercept is 0. You can see that your other point you can look at is (4,3). You can go UP three and OVER four to get to that place. Therefore, your slope is 3/4.
767 rounded to the nearest ten is 770
6 - 4x = (3 - x)
Subtract 6 from both sides, as well as adding x to both sides.
-4x + x = 3 - 6
Add like terms.
-3x = -3
Divide both sides by -3.
x = 1
So, your answer is c) All real, numbers because all of the other answer choices are wrong.
We know this because a) and b) are incorrect. To know if they are incorrect, you just plug in the numbers. When 2 and -2 are plugged into the equation, it is incorrect. So, you solve the equation, and you now know that it is not D) because there is a solution.
So, once again, your answer is C.
~Hope I helped!~