Answer:
2 because negatives arent greater than whole numbers
Answer:
5 months
Step-by-step explanation:
Set up an inequality, using x to represent months.
(The 35 and 40 represent the cost per month, and you add the 100 and 75 just once because it's a one-time fee and not monthly)
35x + 100 < 40x + 75
Now solve for x.
5x > 25
x > 5
This means that the membership will be less expensive after 5 months.
Answer: y = -x/3 + 5
Step-by-step explanation:
What we know:
- Our points are (-3, 6) and (0, 5)
First, we need to find the slope. The formula for finding slope is y2 - y1/x2 - x1.
Now, we need to plug in our values.
5 - 6/0 - (-3)
Solve.
-1/3
Our slope is -1/3.
But now we need to find the y-intercept. To do this, we will use the equation y = mx + b.
You can use either coordinate pair, but I will be using (-3, 6) first.
Plug in the values.
6 = -1/3(-3) + b
Simplify.
6 = 1 + b
Subtract 1 to both sides.
6 - 1 = 1 - 1 + b
5 = b
The y-intercept is 5. Now we can put everything together!
y = -1/3x + 5
y = -x/3 + 5
For the coordinate (0, 5), you do the same thing.
5 = -1/3(0) + b
5 = 0 + b
5 = b
y = -1/3x + 5
y = -x/3 + 5
Answer:
Length of rectangle = 14 meters
width of rectangle = 8 meters
Step-by-step explanation:
Let the length of rectangle be x meters
width of the triangle is (x - 6) meters
Area of the rectangle is Length x width
112m² = x * (x -6)
112 = x² - 6x
x² - 6x - 112 = 0
x² - 14x + 8x - 112 = 0
x (x - 14) + 8 ( x - 14) = 0
(x - 14)(x + 8) = 0
x - 14 = 0 x + 8 = 0
x = 14 x = -8
width can't be negative value
Therefore,
Length of rectangle = 14 meters
width of rectangle = 14 - 6 meters
= 8 meters
