Answer:
You would divide 4,200 by 12=350
Step-by-step explanation:
Answer:
x = 3/2, x = -5
Step-by-step explanation:
2x² + 7x - 15 = 0
You're going to factor first using whichever method you prefer, but it's best to always start with GCF over any other method. In this case, this equation does not have one so we'll go with the Lie method and grouping method.
A quadratic is formulated to look like this:
ax² + bx + c = 0
So to start factoring, we're going to multiply "a" and "c" to get -30.
Then, we are going to look at factors of -30 that will add up to "b" and in this case, 10 and -3 multiply to get -30 but also add up 7 so we plug those two numbers in.
2x² + 10x - 3x - 15 = 0
Now, we are going to group them like so:
(2x² + 10x)(-3x - 15) = 0
Finally, we can begin to break it down and find x.
2x(x+5) - 3(x+5) = 0
You're doing this right, if the information in the parentheses match.
(x+5)(2x-3) = 0
Set both (x+5) and (2x-3) to zero and solve.
x = 3/2 and x = -5
Answer: 1/2
Step-by-step explanation:
Just remove the negative
Answer:
![(1,4\frac{1}{3})](https://tex.z-dn.net/?f=%281%2C4%5Cfrac%7B1%7D%7B3%7D%29)
Step-by-step explanation:
The coordinates of A and B are missing in the question
Assuming point A is at (1,2) and B is at (1,9) then the coordinates of that partitions AB in the ratio m:n=1:2 is given by:
![(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%29)
We substitute the values to get:
![(\frac{1 \times 1+2 \times 1}{1+2},\frac{1 \times 9+2 \times 2}{1+2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%20%5Ctimes%201%2B2%20%5Ctimes%201%7D%7B1%2B2%7D%2C%5Cfrac%7B1%20%5Ctimes%209%2B2%20%5Ctimes%202%7D%7B1%2B2%7D%29)
We simplify to get:
![(\frac{1+2 }{3},\frac{13}{3})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%2B2%20%7D%7B3%7D%2C%5Cfrac%7B13%7D%7B3%7D%29)
![(\frac{3 }{3},\frac{13}{3})](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%20%7D%7B3%7D%2C%5Cfrac%7B13%7D%7B3%7D%29)
![(1,4\frac{1}{3})](https://tex.z-dn.net/?f=%281%2C4%5Cfrac%7B1%7D%7B3%7D%29)
Answer:
15
Step-by-step explanation: