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harkovskaia [24]
3 years ago
11

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
Mathematics
2 answers:
KIM [24]3 years ago
6 0

Answer: 2 +/- \sqrt{2}

<u>Step-by-step explanation:</u>

 y = -2(x - 2)² + 4

 0 = -2(x - 2)² + 4

<u>÷-2</u>   <u>÷-2        </u>  <u>÷-2 </u>

 0  = (x - 2)² - 2

<u>+2 </u>    <u>            +2 </u>

 2  = (x - 2)²

\sqrt{2} = (\sqrt{x-2} )^{2}

+/- \sqrt{2} = x - 2

<u>+2        </u>    <u>  +2  </u>

2 +/- \sqrt{2} = x

Sati [7]3 years ago
4 0

Answer:

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 = \frac{-4}{-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


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