Mathematics, 27.07.2019 19:40, Gwapecwupcakes

How do you begin isolating the variable x to one side of the equation?

Answers: 1

Show answers

Answers

When you isolate the variable to one side of the equation, you have to use the given operation to simplify the number on the other side of the equal sign.

Ex: 4x + 8 = 40

This is a simple one-step equation, but to solve this, first, you need to subtract 8 from 40.

4x = 40
- 8

4x = 32

Then, you divide 4x by 32.

4x = 32
4x 4

x = 8

However, with multi-step equations you have to do these three important steps.

1.) Distribute - the number that's on the outside of the parentheses, gets multiplied to all the numbers except for the one on the right side of the equal sign

2.) Combine Like Terms - numbers with coefficients like 3x, 6y, or 7a, that have another one like it, you need to add them together and keep the variable.

3.) Simplify - it's almost like combining like terms, except if you have more than one number with coefficient, then again, add all the numbers with the same variable together.

And by the way, coefficient basically is a "fancy" way to say "number with a variable attached".

I hope I helped :)

answered: Guest

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

= 2×(-2)+(-8)×(6)+(-8)×(-5)

= -4-48+40

= -12

hence, v.w= -12

answered: Guest

answer: solve 5\cdot 2^x=2405⋅2

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}

5⋅2

=240

=48

step-by-step explanation: