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
Part 1- B, on the X axis.
Part B- A, the answer is one real root, and one non-real root.
Answer:
red 2/6 blue 2/6 green 1/6 yellow 1/6
Step-by-step explanation:
sample space means every possible answer
Just subisute values that will work
one easy way is to make one sides equal to only one of the placeholders, like y, and then lug in values in for x exg
x+2y=3
subtract x from both sides
2y=3-x
divideb bith sides by 2
y=-1/2x+3
subsitute valudes for x and get values for y
if x=2 then
y=-1/2(2)+3
y==-1+3
y=2
when x=2, y=2
when y=0 then y=3
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12