Find the x-intercepts of the parabola with vertex -1,-17 and y-intercept 0,-13. write your answer in this form: (x1,y1), (x2,x2). if necessary, round to the nearest hundredth.

(1.06, 0), (-3.06, 0)

Step-by-step explanation:

Substitute the vertex (-1, -17) and the point (0, -13) into the vertex form of a parabola: y = a(x - h)^2 + k. Solve for a.

-13 = a(0 - (-1))^2 - 17

Simplify this equation.

-13 = a(1)^2 - 17

Evaluate the exponent.

-13 = a - 17

Add 17 to both sides.

4 = a

Now substitute the vertex and the a-value into the vertex form of a parabola: y = a(x - h)^2 + k.

y = 4(x - (-1))^2 - 17

Simplify.

y = 4(x + 1)^2 - 17

Now to find the x-intercepts, make y = 0.

4(x + 1)^2 - 17 = 0

Add 17 to both sides.

4(x + 1)^2 = 17

Square root both sides.

2(x + 1) =

Divide both sides by 2.

x + 1 =

Subtract 1 from both sides.

x =

Since you want the answers in the form (x1, y1), (x2, y2) and for the answers to be rounded to the nearest hundredth, your final answers are:

(1.06, 0), (-3.06, 0)

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

15 batches are the most you can make

step-by-step explanation: