Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.
Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.
For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.
For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6
Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)
Thus in total there will be 24 outcomes.
So option j gives the correct answer
Answer:
C: x^4+6x^3-12x-72
Step-by-step explanation:
For the function : f(x)=√x^2+12x+36
It can be factorized to
f(x)=√(x+6)²
=x+6
f(x)*g(x)
=(x+6)(x^3-12)
Expand the brackets
=x^4-12x+6x^3-72
rearrange the numbers
x^4+6x^3-12x-72
Answer:
Step-by-step explanation:
180 - m∠1
Answer:
y =24
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles
y+18 + 3y -41 = y+49
Combine like terms
4y -23 = y+49
Subtract y from each side
4y -y -23 = y+49-y
3y -23 = 49
Add 23 to each side
3y -23+23 = 49 +23
3y = 72
Divide by 3
3y/3 = 72/3
y =24
Step-by-step explanation:
f(x)=2x+1
g(x)=2x-7
now,
- f-g(x)=f(x)-g(x)
- 2x+1-2x+7
- 8
(f-g)(x)=8
hope it helps.
