6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
The answer to the question
Answer:
Option 3
y + 16 = 8(x + 2)
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- x = 2, 4, 6, 8
- y = 16, 32, 48, 64
Now, Put the values in equation 1
y – 16 = 8(x – 2)
y – 16 = 8(x – 2)
16 – 16 = 8(2 – 2)
0 = 8
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 2
y – 16 = 8x – 2
y – 16 = 8x – 2
16 – 16 = 8(2) – 2
0 = 14
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 3
y + 16 = 8(x + 2)
y + 16 = 8(x + 2)
16 + 16 = 8(2 + 2)
32 = 8(4)
32 = 32
Here, L.H.S = R.H.S
Check other values of x and y
y + 16 = 8(x + 2)
32 + 16 = 8(4 + 2)
48 = 8(6)
48 = 48
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
48 + 16 = 8(6 + 2)
64 = 8(8)
64 = 64
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
64 + 16 = 8(8 + 2)
80 = 8(10)
80 = 80
Here, L.H.S = R.H.S
Thus, The equation 3 in point-slope from gives the plant's height at any time.
<u>-TheUnknownScientist 72</u>
