Answer:
For 36 movies the cost of both the plans is same.
Step-by-step explanation:
Let us assume foe m movies, both the plans cost same.
Now, PLAN A:
Annual Fee = $45
Cost per movie = $2.50
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($2.50) = 2.5 m
So, the total cost of Plan A = Annual Fee + Cost of m moves
= 45 + 2.50 m
PLAN B:
Cost per movie = $3.75
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($3.75) = 3.75 m
ACCORDING TO QUESTION:
for m movies, Cost of plan A = Cost of plan B
⇒45 + 2.50 m = 3.75 m
or, 3.75 m - 2.5 m = 45
or, m = 45/1.25 = 36
or, m = 36
Hence, for 36 movies the cost of both the plans is same.
What data? - I would say that his "data" showed that each prize has a likelihood of 1/4 to be won
84 points/6 games
14 points/game
Final Answer: 14 points per game or 14 points/game
I will give you the answer to number 1.
(x+2) . (x+1)
How to solve:
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 2 = 2</span>
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is <span> 3 </span>.
<span><span> -2 + -1 = -3</span><span> -1 + -2 = -3</span><span> 1 + 2 = 3 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2
<span>x2 + 1x</span> + 2x + 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+1)
Add up the last 2 terms, pulling out common factors :
2 • (x+1)
Step-5 : Add up the four terms of step 4 :
<span>(x+2) • (x+1)</span>