Answer:
The required number of plants is 10.
Step-by-step explanation:
Nursery P charges $15 per plant plus a $50 delivery fee on any order. Nursery Q charges $20 per plant and no delivery fee.
If x number of plants that must be delivered for the total cost to be the same at both nurseries, then
15x + 50 = 20x
⇒ 5x = 50
⇒ x = 10
Therefore, the required number of plants is 10. (Answer)
A) 8/40 = 1/5
b) 12/40 or 6/20
c) 26/40 or 13/20
Answer:
The equation of the line in point-slope form is 
.
Step-by-step explanation:
According to the statement, let 
and 
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
, 
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that 
and 
, then the equation of the line in point-slope form is:
From (2):
By (1):
The equation of the line in point-slope form is .
Write the equation of a line that is parallel to y=-5/4x + 7
Any line parallel to the given line will have the same slope. In an equation presented in the y-intercept form, the slope is always the coefficient of "x". In this case, the slope is -5/4 (meaning the next point is down 5, and 4 to the right).
Our equation so far looks like this: y = -5/4x + b
"b" represents the y-intercept. To solve for be, we will need to substitute values into x and y. The next piece of information it gives us is one of the points, or solutions, of the line. This means that since this point is on the line, we can use its x and y values to substitute.
x = -4
y= 1
y = -5/4x + b
1 = -5/4(-4) + b
1 = 5 + b
-4 = b
Final Answer: y = -(5/4)x -4
The answer is 0.003021148
