Find the x-intercepts of the parabola with vertex (4,-1) and y-intercept (0,15). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.

(3,0) and (5,0)

Step-by-step explanation:

First let's write the generic model of a parabola:

Now, using the points (0, 15) and (4, -1), we have:

(0, 15):

(4, -1):

The x-coordinate of the vertex is given by the equation:

Now, using this value of b in the equation , we have:

The x-intercepts are where we have y = 0, so:

Using Bhaskara's formula, we have:

So the x-intercepts are (3,0) and (5,0).

do you have the measurements?

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.