(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:
only one triangle can be constructed with three sides each measuring 5cm
Step-by-step explanation:
Answer:
After 3 visits both plans will cost the same.
Step-by-step explanation:
Gym A costs $26.76 plus an additional $4 for each visit.
Gym B has no initial fee but costs $12.92 for each visist.
The cost for gym A can be written as
C= $26.76 + 4(x) where x is the number of visits to the gym A
The cost for gym B can be written as
C= $12.92 (x) where x is the number of visits to the gym B
Both costs will be equal
12.92x= 26.76 +4x
12.92x-4x= 26.76
8.92x= 26.76
x= 26.76/8.92
x= 3
after 3 visits both plans will cost the same.
Check
12.92x= 26.76 +4x
12.92*3= 26.76 +12
38.76= 38.76
Answer:
51
Step-by-step explanation:
See the other answer
Rosa has saved $490 in 6 weeks.
To find the answer to this, simply plug the number of weeks in for the value of x and solve.
f(x) = 250 + 40x
f(6) = 250 + 40(6)
f(6) = 250 + 240
f(6) = 490
