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3 years ago

F(x)=-12x - 2x + 60x² +14x-60

Mathematics

1 answer:

Leona [35]3 years ago

3 0

Answer:

x=±1. are the factors of the quadratic equation.

Step-by-step explanation:

Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60

Rearranging and adding the terms in the expression and equating to zero.

f(x)= 60x² -60=0

60(x² - 1) =0

The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.

from the zero product property we can infer that 60≠0⇒x² - 1=0

⇒(x+1)×(x-1) = 0

⇒x=±1.

Therefore, x=±1. are the factors of the quadratic equation.

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Also, complete the square to determine the vertex of the parabola:

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radius = x

height = y⁺ - y⁻

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x = -3y² + 9y - 6

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Now set up the integral and compute the volume.

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2 years ago

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harkovskaia [24]

Answer:

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Step-by-step explanation:

From the question we are told that

The capacity of the metal tank is $C = 2000 \ gallon$

The duration usage is $t = 15\ years \ ago$

The cost of 2000-gallon tank 15 years ago is $P = \$100,000$

The capacity of the second tank considered is $C_1 = 5,000$

The power sizing exponent is $e = 0.57$

The initial construction cost index is $u_1 = 180$

The new construction after 15 years cost index is $u_2 =600$

Equation for the power sizing exponent is mathematically represented as

$\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}$

=> Here $P_n$ is the cost of 5,000-gallon tank as at 15 years ago

$P_n = [\frac{5000}{2000} ] ^{0.57} * 100000$

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Equation for the cost index exponent is mathematically represented as

$\frac{P_o}{P_n} = \frac{u_2}{u_1}$

Here $P_o$ is the cost of 5,000-gallon tank today

$\frac{P_o}{168587.7} = \frac{600}{180}$

=> $P_o = \frac{600}{180} * 168587.7$

=> $P_o = \$ 561958.9$

8 0

3 years ago

a parking lot contains (2 wheels) and cars (4 wheels). There are 35 vehicles and 114 wheels. How many motorcycles amd cars are t

ELEN [110]

Answer:

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Step-by-step explanation:

Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...

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Solve the first equation for either variable...

y = 35 - x

Now substitute that value into the other equation and solve...

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Now solve...

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Now plug that value into either original equation to solve for y...

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3 0

3 years ago