Answer:
Mostly correct
For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.
For Q4, I think you were confused with the fractions,
4(i)

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64
Hope this helps!
Answer:
D
Step-by-step explanation:
Because the numbers do not comply with the like 11+6+18+21= no answer and multiplying them all didn't matter either so its none of the above
Answer:
1
Step-by-step explanation:
10 * 1/10 is 1
Answer:
(x, y) = (8, -2)
Step-by-step explanation:
Substitute:
3(-4y) + 2y = 20
-12y + 2y = 20
-10y = 20
y = -2
x = -4(-2) = 8
Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.
Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.
For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.
Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.
In terms of symbols, the law of detachment is stated as
- If P, then Q
- P is true
- Therefore Q is true
Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.