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3 years ago

Evaluate and simplify F(x)=3-6x^2 for f(x+3)

Mathematics

1 answer:

Olegator [25]3 years ago

4 0

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>

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Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed,

Sedbober [7]

Answer:

The distribution is symmetric.

Step-by-step explanation:

<em>The distribution will be skew left, if the data is more distributed on left side of graph.</em>

<em>The distribution will be right left, if the data is more distributed on right side of graph.</em>

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<em>The distribution is uniform if the value of data remains constant throughout the graph.</em>

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Thus, distribution is symmetric.

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3 years ago

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3 years ago

Solve 3x-2/4 - 2x+5/3 = 1-x/6

Nadya [2.5K]

Answer:

Pasos para resolver una ecuación lineal

3x−2/4−2x+5/3=1−x/6

Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.

36x−3×2−24x+20=12−2x

Multiplica −3 y 2 para obtener −6.

36x−6−24x+20=12−2x

Combina 36x y −24x para obtener 12x.

12x−6+20=12−2x

Suma −6 y 20 para obtener 14.

12x+14=12−2x

Agrega 2x a ambos lados.

12x+14+2x=12

Combina 12x y 2x para obtener 14x.

14x+14=12

Resta 14 en los dos lados.

14x=12−14

Resta 14 de 12 para obtener −2.

14x=−2

Divide los dos lados por 14.

−2

Reduzca la fracción

−2

a su mínima expresión extrayendo y anulando 2.

x=−

Step-by-step explanation:

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2 years ago

If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

iren [92.7K]

$\sin\theta= \frac{4}{5} 
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\\\sin^2\theta+\cos^2\theta=1
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3 years ago

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Nostrana [21]

Answer:

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Step-by-step explanation:

that is the solution above

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2 years ago