Answer:
D
Step-by-step explanation:
The contrapositive is where the variables are reversed and the positive/negatives are reversed. For example, the contrapositive of the statement "If it rained last night, the ground is wet" is "If the ground is not wet, it did not rain last night".
If A - B = {2,4,6}, B - A = {0,1,3}, and A∪B = {0,1,2,3,4,5,6,7,8}. What is A∩B?
jek_recluse [69]
Answer:
{5,7,8}
Step-by-step explanation:
A-B = {2,4,6} => A={2,4,6}
B - A = {0,1,3} => B= {0,1,3}
A∪B = {0,1,2,3,4,5,6,7,8}
=> A = {2,4,5,6,7,8}
B= {0,1,3,5,7,8}
=> A∩B = {5,7,8}
12(2+7)
12 is the GCF for 24 with 12 x2 =24 and 12 is the GCF for 84 with 12 x7= 84.
2x - 2y = -12
4x - 7y = -15
Multiply the first equation by -2 to make the 2x the opposite of 4x:
2x - 2y = -12 x -2 = -4x + 4y = 24
Now add this to the second equation:
-4x + 4y = 24 + 4x - 7y = -15:
-3y = 9
Divide both sides by -3
y = 9 / -3
y = -3
Now you have Y, replace y in one of the equations and solve for x:
2x - 2(-3) = -12
2x +6 = -12
Subtract 6 from both sides:
2x = -18
Divide both sides by 2:
x = -18 /2
X = -9
Check:
2(-9) - 2(-3) = -12
-18 + 6 = -12 TRUE
4(-9) - 7(-3) = -15
-36 +21 = -15 TRUE
X = -9, y = -3
(-9,-3)
Nine hundred fifty-four thousandths.
