Step-by-step explanation:
1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.
2. We will use the same process.
6x² + 14x - 3x - 7 = 0
2x (3x+7) - 1 (3x+7) = 0
(3x + 7)(2x - 1) = 0
3x + 7 = 0, 2x - 1 = 0
x = -7/3, x=1/2
Hope this helps!
Answer:
2/15
Step-by-step explanation:
There is a 4/10 probability that she chooses blue the first time, but the second time it is a 3/9 chance because she didn't put the marble back so there are 9 marbles in total, 3 blue ones.
4/10 x 3/9 = 2/5 x 1/3 = 2/15
I hope this helps :)
Edit: Messed up the multiplication, whoops!
Answer:
8
Step-by-step explanation:
12x+24+8x-4=180degree
=20x+20=180
=20x=180-20
=20x=160
=x =8
Answer:$ 66.5
Step-by-step explanation:
Using ordinary Annuity formula
![FV=\frac{P\times \left [ \left ( 1+r\right )^n-1\right ]}{r}](https://tex.z-dn.net/?f=FV%3D%5Cfrac%7BP%5Ctimes%20%5Cleft%20%5B%20%5Cleft%20%28%201%2Br%5Cright%20%29%5En-1%5Cright%20%5D%7D%7Br%7D)
FV=future value=$24000
P=monthly payment
r=rate of interest =5.4%
for monthly 
n=number of payments 
![24000=\frac{P\times \left [ \left ( 1+0.0045\right )^{108}-1\right ]}{0.0045}](https://tex.z-dn.net/?f=24000%3D%5Cfrac%7BP%5Ctimes%20%5Cleft%20%5B%20%5Cleft%20%28%201%2B0.0045%5Cright%20%29%5E%7B108%7D-1%5Cright%20%5D%7D%7B0.0045%7D)
P=$ 66.501
sop monthly deposit of $ 66.5 is required.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
