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3 years ago

What is two added to double a number in algebraic expression

Mathematics

1 answer:

Schach [20]3 years ago

8 0

As an algebraic expression, if n is the number, that would be: $2n + 2$

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Need help to do this step by step please <br> 3x2 - 2x=-1

sdas [7]

Answer:

Solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

Step-by-step explanation:

We need to solve the expression: $3x^2-2x=-1$

This is a quadratic expression and it can be solved using quadratic formula

Solving:

$3x^2-2x=-1\\$

we can write it as:

$3x^2-2x+1=0$

The quadratic formula is: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a = 3, b = -2 and c= 1

Putting values and solving:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2} \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}$

So, solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

8 0

3 years ago

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butalik [34]

The median is 4.

Hope this helps

7 0

3 years ago

Read 2 more answers

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. −6 −0.5 0.5 6

Step2247 [10]

A contraction would make the image smaller.

A negative number reflects the image and changes the size based on the number.

To make an image smaller the factor needs to be less than 1

so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.

7 0

3 years ago

Read 2 more answers

Find the value of x (5x)=150

Kruka [31]

Divide both sides by 5, and the result is: x=30.
X is 30.

6 0

3 years ago

The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Dominik [7]

Answer:

A = 7,241.2454026112 square mm.

or exact : A = 2,304.96‬*π sq mm

Step-by-step explanation:

Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 + 2 *π * r* h + π*r^2

A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)

A = 2,413.748467537 + 4,827.496935

A = 7,241.2454026112 square mm.

A = 2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π sq mm

8 0

3 years ago