(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, 1)
Step-by-step explanation:
So, the spot on the graph where they cross.
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =

Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =

Therefore, probability of rolling a 6 and tossing a head =
Answer:
1/3
Step-by-step explanation:
If you're talking about a 6-sided die, then there are 6 sides. Rolling a 2 or a 3 would be a 2/6 chance. To simplify if from there, you can also say that there is a 1/3 chance.
After 14 weeks, both Megan and Conner will have saved the same amount.
Step-by-step explanation:
Amount Megan have = $50
Amount saved each week = $5.50
Amount Conner have = $18.50
Amount saved each week = $7.75
Let,
x be the number of weeks.
According to given statement;
M(x) = 50+5.50x Eqn 1
C(x) = 18.50+7.75x Eqn 2
For amount to be same;
Eqn 1 = Eqn 2

Dividing both sides by 2.25

After 14 weeks, both Megan and Conner will have saved the same amount.
Keywords: functions, division
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