Find the x-intercepts of the parabola with
vertex (4,-20) and y-intercept (0,-4).
Write your answer in this form: (x1,71), (X2,72).
If necessary, round to the nearest hundredth.

(8.47,0) (-0.47,0)

Step-by-step explanation:

y = a(x - h)² + k

y = a(x - 4)² - 20

-4 = a(0 - 4)² - 20

16 = 16a

a = 1

y = (x - 4)² - 20

x-intercepts: y = 0

(x - 4)² = 20

x - 4 = +/- 4.47..

x = 4.47+4, -4.47+4

x = 8.47, -0.47

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true