Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
Answer:
Subset is part of set which is obtained from Universal set.
Step-by-step explanation:
Like for example :-
A - ( 1,2,3,4,5,6,7,8)
And B - ( 1,2 , 3)
So we can say B is subset of A.
So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!
When competing the square, you want to have
at the end, and using the fact that the x term and coefficient are really
, we see that the third option is the most efficient way to start
Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0
And please include the instructions.
2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0
Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0
Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0
Then (x+(1/4))^2 = (1/4)^2
Taking the sqrt of both sides: x+1/4 = plus or minus 1/4
Solving for x: x = -1/4 plus or minus 1/4
Solving for x (continued): x = 0 and x = -1/2
