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2 years ago

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The function y= -3(x-2)^2 +6 shows the daily profit in hundreds of dolars of a hot dog stand where x is the price of a hot dog i

n dollars find and interpret the zeros of this function

1 answer:

Misha Larkins [42]2 years ago

6 0

Gotta graph this one
Zeros are $.586 and $3.414 and the profit is zero when these are the prices

Maximum profit when the dogs are 2 bucks

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(-1,-6) and (-3,-8) y=Mx+b

denpristay [2]

Answer:

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Step-by-step explanation:

first find the slope or m

slope is change in y over change in x

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use one of the points and solve for b

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2 years ago

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d1i1m1o1n [39]

Answer:

x = -3, $\frac{3}{2}$

Step-by-step explanation:

The given quadratic equation is: $2x^2 = 9 - 3x$

This can be written as: $2x^2 + 3x - 9 = 0$

To solve a quadratic equation of the form $ax^2 + bx + c = 0$ we use the formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)}$

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We get two values of 'x', viz.,

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$\implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4}$

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $\frac{3}{2}$ ) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $\frac{3}{2}$ to see that this indeed is the given quadratic equation.

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Answer:

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Step-by-step explanation:

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2nd Add 13.5: 10.975+13.5=24.475

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Hope this helps you out :)

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