Sarah wants to join a gym. Fitness Gym charges a $120 enrollment fee and $25 a month. Sports Gym charges no enrollment fee and $
45 a month. Sarah wants to know how many months it will take for the cost of both gyms to be the same. She writes the two equations C = 120 + 25x and C = 45x and graphs the solution. What does the graph tell her about many months it will take?
A) It will take 5 months.
B) It will take 6 months.
C) It will take 9 months.
D) It will take 18 months.
A) It will take 5 months.
B) It will take 6 months.
C) It will take 9 months.
D) It will take 18 months.
2 answers:
Answer:
<h2>B) It will take 6 months.</h2>Step-by-step explanation:
This problem can be solved using the equation or the graph.
The given equation is
We solve for
This means after 6 months both gyms will cost the same.
Now, if you wanna solve this using the graph, you just need to look for the interception points of the two lines, where each of them represents each gym. Notice that they intercept at (6,270), that is, after 6 months they cost $270 each of them.
Therefore, the right answer is B).
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Answer:
x<-8 or x>1/5
Step-by-step explanation:
First we replace > symbol by = sign
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
10/9>0 is true , x>1/5 satisfies our inequality
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means