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>
Putting it in the middle sorry if it isnt right i never was really good at these but i tried.
Answer:
y = −3x+7
Step-by-step explanation:
m = slope
slope = change in y / change in x
slope = ▲y/▲x
slope = -3 / 1
slope = -3
y-intersect = (0,7)
The slope-intercept form of linear equation:-
y = mx + b
where:
m = the slope
b = y-intersect
*we plot the information we have get in the formula
y = mx + b
y = -3x + 7
*and this is the equation of the graph
Answer:
m=-2n-13
Step-by-step explanation:
m+1=-2(n+6)
m+1=-2n-12
-1. -1
--------------------
m=-2n-13
The probability that all marbles are yellow is
(7/20) (7/20) (7/20) = 343/8000
We are given
x = 2 and 3
u = 2.5
s = 0.5
Getting the z score
z = (2 - 2.5) / 0.5 and (3 - 2.5)/ 0.5
z = -1 and 1
The percentage is
1 - 0.1557 = 81.5%
