We start with:
-10 = xy + z
When you want to solve for a certain variable, you generally follow pemdas in reverse, so subtract z from both sides first:
-10 - z = xy
And finally, divide both sides by y:
(-10 - z)/y = x
and there we go! sorry for the badly typed equations, I'm on my phone so there's only so much a can do :( hope I helped, and let me know if you have any questions!
Answer: Compound probability is equal to the probability of the first event multiplied by the probability of the second event
HOPE THIS HELPS
The scatter plot shows the association between the ordered pairs
The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)
<h3>How to determine the two best ordered pairs?</h3>
To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal
See attachment for illustration
From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides
Hence, the two ordered pairs are (0, 13) and (10, 0)
Read more about scatter plots at:
brainly.com/question/2820882
Answer:
Step-by-step explanation:
f(x) = 6x³-x²+4x+5
g(x) = 9x³-1
(f+g)(x) = {6x³-x²+4x+5} + {9x³-1}
open brackets
6x³-x²+4x+5 + 9x³-1
choose like terms
6x³+ 9x³-x²+4x+5 -1
15x³-x²+4x+4= x²(15x-1)+4(x+1)= (x²+4)(x+1)(15x-1)
(f+g)(x)= 15x³-x²+4x+4 = (x²+4)(x+1)(15x-1)
(f+g)(2) = 15(2)³-(2)²+4(2)+4 = 15(8)-4+8+4 = 120+8 = 128
(f-g)(x) = {6x³-x²+4x+5} - {9x³-1}
open brackets
6x³-x²+4x+5 - 9x³+1
choose like terms
6x³- 9x³-x²+4x+5 +1
-3x³-x²+4x+6= -x²(3x+1)+2(2x+3)= (-x²+2)(3x+1)(2x+3) = (2-x²)(3x+1)(2x+3)
(f-g)(x) = -3x³-x²+4x+6 = (2-x²)(3x+1)(2x+3)
(f-g)(-3) = -3(-3)³-(-3)²+4(-3)+6 = -3(-3x-3x-3)-(-3x-3)-12+6=-3(-27)-3(9)-12+6= 81-27-12+6 = 54-6= 48
(f-g)(-3) = 48
Answer: 
Step-by-step explanation:
