If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope

. To do that we are going to use the slope formula:

.
From our two points we can infer that

,

,

,

. Lets replace those values in the slope formula:




Now that we have our slope, we can use the slope-intercept formula:



We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is

.
<h2>Steps:</h2>
So for this, I will be factoring by grouping. Firstly, factor x³ + 2x² and -4x - 8 separately. Make sure that they have the same quantity inside of the parentheses:

Now we can rewrite it as:

However, we aren't finished factoring yet. The first factor, x² - 4, can be factored further using the difference of squares. The difference of squares goes by the formula here:
. In this case:

<h2>Answer:</h2>
<u>In short, the answer is
</u>
The missing number in the given series is 24.
<h3>What is missing number in the given sequence?</h3>
Missing numbers are the numbers that have been missed in the given series of a number with similar differences among them. The method of writing the missing numbers is stated as finding similar changes between those numbers and filling the missing terms in the specific series and places.
Given the series,
4, ?, 144, 864, 5184, 31104
Multiplying with 6 in each term in the given sequence.
4×6 = 24
24×6 = 144
144×6 = 864
864×6 = 5184
5184×6 = 31104
Following the above sequence, we get the 2nd term is 24.
Hence the missing number is 24.
To learn more about the missing number from the given link :
brainly.com/question/27458314
#SPJ4
First arrange them in ascending order.
The third qasrtile is the mean of the 7th and 8th numbers
Its 92.5 answer