Answer:
Your first 2 questions are correctly answered.
I think the answer to the third question is NO.
Step-by-step explanation:
You can see that the sides with 3 and 4 are adjacent, which means they cannot possibly be opposite. For a valid dice, they should be opposite because they add up to 7. Hence this net is not valid.
(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
Answer:
(0-10)
Step-by-step explanation:
If she plans to use 10 intervals and the highest number in the data set is just under 100, then it makes sense to split the histogram into ten intervals of 10.
A = cost of 1 drink $12.75 + 4a $12.75 + $12.00 = $24.75
Answer:
1/3
Step-by-step explanation: