Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
$12 is the answer.
Hope this helps!
Answer:
Step-by-step explanation:
g(x)=[x-4] h(x)= [x] -5
h= -5
g=[x-4]
x x
g=4
Answer:
The graph of such system of equations should show two lines with different slopes, and therefore intersecting in one unique point.
Step-by-step explanation:
In order to have a system of linear equations in two variables give as answer only one solution (that is a unique point on the plane), the graph of such equations should be two lines with different slopes, and therefore intersecting in one unique point.
Graphs with parallel lines will not be correct since there is no intersection, and therefore no answer to such systems.
Graphs that show lines that overlap are not an answer either, since in such case there are infinite number of solutions (all the points on each line)
The solution of your problem is shown on the picture below.