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3 years ago

Factorise fully 18e^2f^3-12e^2f

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

$18e^2f^3-12e^2f = 6e^2f(3f^2-2)$

Step-by-step explanation:

Given

$18e^2f^3-12e^2f$

Required

Factorize:

$18e^2f^3-12e^2f$

Express 18 as 6 * 3 and 12 as 6 * 2

$18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f$

Factor out 6

$18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)$

Factor out $e^2$

$18e^2f^3-12e^2f = 6e^2(3f^3-2f)$

Factor out f

$18e^2f^3-12e^2f = 6e^2f(3f^2-2)$

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3 years ago

Can someone help me with this problem

Alex_Xolod [135]

Answer:

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

A(-3, 0) , B(3, 2)

$AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}$

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AB = CD and AD = BC

The area of a rectangle:

$A=(AB)(AD)$

Substitute:

$A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20$

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$P=2(AB+AD)$

Substitute:

$P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}$

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3 years ago

Which expressions are equal to 0 when x = -1? Check all that apply.

Sphinxa [80]

Answer:

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Step-by-step explanation:

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3 years ago

A two-way frequency table is shown below that displays the relationship between the region of the country in which people live a

nataly862011 [7]

Answer:

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Step-by-step explanation:

Given the two way frequency table :

Country Music Rock Total

West 26 15 41

East 24 22 46

South 7 33 40

North 41 25 66

Total 98 95 193

From. The table :

n(West n Country music) = 26

n(Total) = 193

P(West n Country music) = n(West n Country music) / n(Total)

P(West n Country music) = 26 / 193

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3 years ago

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m_a_m_a [10]

Answer:

$y = \frac{3}{4}x -3$ --- Slope intercept

$4y - 3x =- 12$ --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

$(x_1,y_1) = (0,-3)$

$(x_2,y_2) = (4,0)$

Next, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

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So, we have:

$y = \frac{3}{4}(x - 0) -3$

$y = \frac{3}{4}(x) -3$

$y = \frac{3}{4}x -3$

Multiply through bu 4

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7 0

3 years ago