Hal's plan is to launch himself from the sling and follow a trajectory given by the function y=-5x2-2x+16. For this function, when y=0, Hal is on the ground. Answer each of the questions below (4 points each). Be sure to show your work for all calculations or you will receive no credit. 1.Factor Hal's flight plan. 2.From what point did Hal launch (lower x-value)? Give the coordinates. 3. Where does he land (higher x-value)? Give the coordinates. 4. What is the maximum height he achieves? 5. The blueprints for Hal's pig pen is a rectangular pen. However, Hal knows how filthy these pigs are and how they love to be muddy. So Hal decides to build his pig pen so that one side is blocked by a river. Those filthy pigs wouldn't dare get in the river because they would get clean. He has 140 yards of fencing. What dimensions would Hal need to maximize the area for the pigs? 6.What is the area of Hal's pig pen in square feet?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺