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Firdavs [7]
2 years ago
5

Determine the equation, in both factored and standard forms, of a parabola with zeros at (-2, 0) and (5, 0) and passes through t

he point (-1, -4)
Mathematics
1 answer:
Burka [1]2 years ago
3 0

The parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:
Parabola with zeros at (-2, 0) and (5, 0) and passes through the point (-1, -4)

In factored forms:

f(x) = (x + 2)(x - 5)

Because zeros at (-2, 0) and (5, 0)

In the standard form:

f(x) = x² - 3x - 10 or

f(x) = (x - 3/2)² - 49/4

Thus, the parabola equation in the factored and standard form are f(x) = (x + 2)(x - 5), and f(x) = (x - 3/2)² - 49/4 respectivly.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

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bearhunter [10]

Answer:

Step-by-step explanation:

5 0
3 years ago
I don't know if it's supposed to do with (n-2)180 <br> Also please explain :D
Sindrei [870]

Step-by-step explanation:

sum \:  of \:  interior  \\ \:  angels  \: is  \: 2340 \:  degrees. \\ (n−2)⋅180=2340 \\ 180n - 360=2340  \\ 180n = 2700 \\ n=15 \\  number \:  of \:  sides=15

the polygon is 15 sided.

6 0
2 years ago
A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by p = 4
LUCKY_DIMON [66]

Answer:

1. q=(\dfrac{45}{p})^{\frac{2}{3}}

2. E_d=-\dfrac{2}{3}

Step-by-step explanation:

The given demand equation is

p=\dfrac{45}{q^{1.5}}

where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price.

Part 1 :

We need to Express q as a function of p.

The given equation can be rewritten as

q^{1.5}=\dfrac{45}{p}

Using the properties of exponent, we get

q=(\dfrac{45}{p})^{\frac{1}{1.5}}      [\because x^n=a\Rightarrow x=a^{\frac{1}{n}}]

q=(\dfrac{45}{p})^{\frac{2}{3}}

Therefore, the required equation is q=(\dfrac{45}{p})^{\frac{2}{3}}.

Part 2 :

q=(45)^{\frac{2}{3}}p^{-\frac{2}{3}}

Differentiate q with respect to p.

\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{2}{3}-1}})

\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{5}{3}})

\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})

Formula for price elasticity of demand is

E_d=\dfrac{dq}{dp}\times \dfrac{p}{q}

E_d=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{(45)^{\frac{2}{3}}p^{-\frac{2}{3}}}

Cancel out common factors.

E_d=(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{p^{-\frac{2}{3}}}

Using the properties of exponents we get

E_d=-\dfrac{2}{3}(p^{-\frac{5}{3}+1-(-\frac{2}{3})})

E_d=-\dfrac{2}{3}(p^{0})

E_d=-\dfrac{2}{3}

Therefore, the price elasticity of demand is -2/3.

3 0
2 years ago
Find the length of side x in simplest radical form with a rational denominator.
konstantin123 [22]

Step-by-step explanation:

given length of hypotenuse, h=3 units.

adjascent angle for x is 45°

cos(45°)=x/3

cos(45°)=1/root 2(I dont have root symbol sorry)

1/root 2=x/3

x=3/root 2 units

x=3root 2/2

and hi pls comment

6 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE !!!!!!!
yuradex [85]

Answer:

12

Step-by-step explanation:

Change 3/4 to 12/16 by multiply both side by 4 (common denominator)

12/16 divide by 1/16 is 12.

7 0
2 years ago
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