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3 years ago

What type of number is 4n

Mathematics

1 answer:

N76 [4]3 years ago

3 0

D. an irrational number

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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

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2 years ago

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How many bacteria are in generation 9? O A. 1,180,980 O B. 393,660 C. 1440 O D. 6561

scoundrel [369]

Answer:

B. 393,660

Step-by-step explanation:

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2 years ago

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Factor pairs for 18 and

Solnce55 [7]

3,3,2 these are the primes of 18

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3 years ago

Inverse of f(x)=3x-4

aniked [119]

Answer:

$\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}$

Step-by-step explanation:

$f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}$

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3 years ago

A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww

Katena32 [7]

A cube is a 3d object bounded by 6 square faces.

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)³

Volume = 27w³

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3 years ago