Answer:
what
Step-by-step explanation:
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>
Answer:
<h2>(x + 7)² + (y + 2)² = 49</h2>
Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
We have:
center (-7, -2) → h = -7 and k = -2
radius r = 7.
Substitute:
Answer:
D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.
Step-by-step explanation:
We are given that,
Martha predicts that 'whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time'.
Now, according to the options, we see that,
If she randomly draw and replace a card 100 times and then observe how close to 20 times a club is drawn.
Her prediction is most likely to be true.
As, 20 out of 100 times is 
th of the total time.
Hence, option D is correct.
Answer:
A
Step-by-step explanation:
Plug in the values of each of the coordinate pairs into the linear system.
2x - 8y = 0, -3x - 8y = 20
A)
2*-4 - 8*-1 = 0
- 8 - (-8) = 0 -> CORRECT!
-3x - 8y = 20
-3*-4 - 8*-1 = 20
12 - (-8) = 20 -> CORRECT!
You don't need to try any other pairs, you already know that this is the solution to the problem! Remember, in the future, just plug all the coordinate pairs into the equation. Whichever one makes the equation true is the correct solution! Hope this helps!
