Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A, y= 9x+64
Play B, y= -x^2+26x+12

Play A: y=15x+76

Play B: y=-x^2 +36x-4

set them equal:

15x+76=-x^2 +36x-4

80=-x^2+21x

x^2-21x+80=0

-> solve for x

for example with the quadratic equation formula or solving the square

factorized:

(x-16)(x-5)=0

so x1=5 and x2=16

insert them into y=15x+76

y1=151, y2=316

so (5,151) and (16,316) are days with equal attendance for both plays which is option C

Step-by-step explanation:

math. mathematics.

question: NO VIRUS LINKS!!! Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?

Play A, y= 9x+64

Play B, y= -x^2+26x+12

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet