Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>
Simplify:
×5 on both sides:
Expand:
Bring constants to 1 side, w terms to the other:
Simplify:
Divide both sides by 3:
<u>Method 2:</u>
Multiply by 5 throughout:
Expand:
Simplify:
+9 on both sides:
-4w on both sides:
Simplify:
Divide by 3 on both sides:
3.
Multiply by 3x on both sides:
Expand:
Simplify:
Divide by 6 on both sides:
-9 on both sides:
Factorise:
*Since a²-b²= (a +b)(a -b),
Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3
Answer:
<u>f(-8) = 64</u>
Step-by-step explanation:
<u>Given conditions</u> :
<h3>f(x) = { x², if x < 0}</h3><h3>or </h3><h3>f(x) = {∛x, if x > 0}</h3>
<u>We have x = -8</u>
⇒ It follows x < 0
Therefore, substituting x = -8 in the function :
- f(-8) = (-8)²
- <u>f(-8) = 64</u>
Answer:
6.4 - x
Step-by-step explanation:
Positive difference is the bigger number- the smaller number
Negative difference is the smaller number- the bigger number
In this case, we do not know which is bigger so it is advisable to go for the known number- the unknown number. that is 6.4 - x
11.16 repeat only the six is repeating
The only two usable numbers that make up 63 are 9 and 7 and 21 and 3 in some form. So that's how you start the question.
(x 9)(x 7) is what you can get. The 2x is very small, so it suggests that 21 and 3 are not the right factors.
You have a plus 2 as the middle term. That is exactly the difference between 9 and 7. That tells you the sign on 9 because it is larger than 7.
(x + 9) ( x 7) is what you have so far. Since 63 is minus, the 7 must be minus. Now what you have is
(x + 9)(x - 7) and that is the final answer.