The correct answer is B.
To increase the median you have to add or subtract a whole number from the set. Because this just changed the value of one of them the median stays the same.
Answer:
<h3>A. 1 hour</h3>
Step-by-step explanation:
If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;
On equating:
75 + 50x, = 75x + 50
collect like terms'
50x-75x = 50-75
-25x = -25
divide both sides by -25
-25x/-25 = -25/-25
x = 1
hence the number of hours each company will have to clean to cost the same amount is 1 hour
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution
(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution
(1,-7)
-7=11(1)+4
-7=11+4
-7=15
-7 is not 15 ----not a solution
(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion
(-1, -7) & (2, 26) are solutions to the equation
Answer:
Step-by-step explanation:
Maybe you want this written using math symbols. It will be ...
First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. <em>I am going to find them by graphing.</em>
x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)
now graph y ≤ 3. a vertex is at (0, 3)
now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).
0 = -2x + 5
-5 = -2x
So, the vertex is 
Next, input the coordinates of the vertices into the objective function.
C = -6x + 5y
(0, 0): C = -6(0) + 5(0)
= 0 + 0
= 0
(0, 3): C = -6(0) + 5(3)
= 0 + 15
= 15
(1, 3): C = -6(1) + 5(3)
= -6 + 15
= 9
: C = -6(\frac{5}{2}[/tex]) + 5(2)
= -15 + 10
= -5
The maximum is C = 15 which occurs at vertex (0, 3)
Answer: A
