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 ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
The midpoint (a, b) between two linear points 
and 
is calculated as:
On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).
Substitute these values into the mid-point formulae
The ordered pair that represents the halfway point between Mary's home and the grocery store is (1, 4)
Learn more on the midpoint of a line here: brainly.com/question/18315903
Answer:
4x^2 + 9x + 4 = 0
Using the quadratic formula:
x = [-9 +- sqrt(81 - (-64)] / 2 * 4
x = [-9 +- sqrt (145)] / 8
So, the solution is your second answer:
negative 9 plus or minus the square root of 145 divided by 8.
Bot 1 is the answer you’re looking for
First, you need to choose a yellow marble. That is 6/15.
Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.
So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.
