The profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit(in hundreds of dollars): y=-2(x-2)^2+4. find and interpret the zeros of this function. hint: replace y with 0 and solve for x

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2

Step-by-step explanation:

 y = -2(x - 2)² + 4

 0 = -2(x - 2)² + 4

÷-2   ÷-2          ÷-2

 0  = (x - 2)² - 2

+2                +2

 2  = (x - 2)²

+/- = x - 2

+2              +2  

= x

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.