Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x

1 answer:

defon2 years ago

5 0

An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: X differs from 2 by more than 3, that would be:

2 - x > 3
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1

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Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel

neonofarm [45]

Answer:

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^2+bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^2-4ac} }{2a}$

in this problem we have

$4x^2 + 2x - 1=0$

$a=4$

$b=2$

$c=-1$

substitute in the formula

$x=\frac{-2(+/-)\sqrt{2^2-4(4)(-1)} }{2(4)}$

therefore

x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction

8 0

1 year ago

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How to do 2x+4=12 plz show how you got it

OverLord2011 [107]

2x + 4 = 12

We're simply just trying to isolate x.

So, we must get x onto it's own side of the equal sign :)

Our first step is to subtract 4 from both sides.

2x + 4 - 4 = 12 - 4

Simplify.

2x = 8

Then, we divide both sides by 2.

2x ÷ 2 = 8 ÷ 2

Simplify.

x = 4

----------

To check your work, simply plug in the value of x into x in the original equation.

In this problem, x = 4, so plug in 4 for x.

2x + 4 = 12

2(4) + 4 = 12

Simplify.

8 + 4 = 12

12 = 12

Therefore, x = 4

~Hope I helped!~

8 0

2 years ago

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3.) Identify all integers. a. 725 d. 50 e. 10.2 C. 806

NeTakaya

Answer:

A, B, C

Step-by-step explanation:

An integer is a whole number (so not a fraction)

8 0

3 years ago

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