Answer:
Step-by-step explanation:
All-Day Fitness Club charges $22 per month plus an $80 initiation fee for membership: 22x+80
Mike's Fitness Center charges $30 per month for a membership: 30x
22x+80=30x
30x-22x=80
8x=80
x=80/8=10
The two memberships will be the same after____10_______ months.
Answer: The slope of the graph is 2x. In other words, rise over run: move up 2 and move to the right 1 because it is 2 over 1. The y-intercept is -3, which means you move down 3 on the y-axis.
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)
We can recognize any points of the graph.
(0,80000) ; (10,50000)
Given:
<span>y -50,000 =______(x -10)
We need to find the slope.
Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000
The slope is equal to -3000. Choice A.
</span><span>y -50,000 = -3,000(x -10)</span>
Answer: Hi! 15/32, I think!