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Allisa [31]
3 years ago
9

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>

<em>The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.</em>

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

Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.

Thus, distribution is symmetric.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B4x%2B1%7D-5%3D0%5C%5C%5C%5C%5C%5C%5C%5C%5Csqrt%7B5x-1%7D%2B3%3Dx%5C%5C" id="TexFormu
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Answer:

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8 0
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.

x=

14

−2

​

Reduzca la fracción  

14

−2

 a su mínima expresión extrayendo y anulando 2.

x=−

7

1

Step-by-step explanation:

7 0
2 years ago
If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta
iren [92.7K]
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\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}

\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}}  =- \frac{3}{4}

5 0
3 years ago
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Nostrana [21]

Answer:

R = 33.35%

Step-by-step explanation:

that is the solution above

6 0
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