An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.
Hope this made sense.
The answer is 6. plug it in for yourself and you will see
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
to graph a LINEar equation, since it's just a straight line, recall, to draw a straight line all you need is two points.
so we can just pick two random "x" values, hmmmmm say x = 0, what's "y"?
y = 7(0)-7 => y = -7....................................... so that gives us the point (0, -7)
hmmm x = 2, what is "y"?
y = 7(2) - 7 => y = 14-7 => y = 7................. so we get the point (2, 7).
then just plot those, and run a line through them.
Answer:
The answer is
<h2>(9x - 4)(4x + 3)</h2>
Step-by-step explanation:
36x² + 11x - 12
To factor the expression rewrite 11x as a difference
That's
36x² + 27x - 16x - 12
<u>Factor out 9x from the expression</u>
9x( 4x + 3) - 16x - 12
<u>Factor out - 4 from the expression</u>
9x( 4x + 3) - 4( 4x + 3)
Factor out 4x + 3 from the expression
We have the final answer as
<h3>(9x - 4)(4x + 3)</h3>
Hope this helps you
