Answer:
lm 11 in 6th grade
Step-by-step explanation:
The points of intersection are at (3, 6) and (-1, -2).
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).
Answer:
Step-by-step explanation:
<u>Given:</u>
- Total number = 700
- Off grid class = 450
- Online class = 320
- Both = 275
<u>Based on the given we find the following</u>
1) <u>Off-grid class only:</u>
3) <u>Online class only:</u>
2) <u>None of the classes:</u>
- 700 - (175 + 275 + 45) = 205
4) <u>Not online:</u>
5) <u>Not off-grid:</u>
For the top: 10(4-7), distribute the 10 to both 4 and -7
10(4) = 40
10(-7) = -70
For the bottom, - is the same as - 1
Distribute -1 to both 4 and -1
-1(4) = -4
-1(-1) = 1
(40 - 70)/(-4 + 1)
Simplify. combine the terms.
40 - 70 = -30
-4 + 1 = -3
Divide:
-30/-3 = 10
D. 10 is your answer
hope this helps