Answer:
Constant of variation: 1/4
Slope of the line: 1/4
Step-by-step explanation:
The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.
The slope formula states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
Answer:
-83 1/3 > -83.518
Step-by-step explanation:
-8 1/3 = -8.333333...
Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
For this case we have the following data:
Polynomial function of grade 5
Given roots: -2, 2,
Having an imaginary root given by 
, the other root, in the same imaginary way, must be given by its complex conjugate, that is, 
.
In this way, the fourth root is given by:
Since the polynomial function is grade 5, it must have 5 roots. Thus, the fifth root must be given by a real number.
Thus, the roots of the polynomial function are given by: three real roots and two imaginary roots.
Answer:
Option D
Answer:
The right solution is:
(a) $1,940
(b) $2,813
Step-by-step explanation:
Given:
Invoice amount
= $8,400
Discount 1
= 33.33%
Discount 2
= 12.5%
So,
The net payable amount will be:
= ![8400\times [1 - \frac{100}{300} ]\times [1 - \frac{12.5}{100} ]](https://tex.z-dn.net/?f=8400%5Ctimes%20%20%5B1%20-%20%5Cfrac%7B100%7D%7B300%7D%20%5D%5Ctimes%20%5B1%20-%20%5Cfrac%7B12.5%7D%7B100%7D%20%5D)
= 
= 
($)
Now,
(a)
Amount paid will be:
= 
= 
($)
Balance still to be paid will be:
= 
= 
($)
(b)
Amount paid will be:
= 
= 
= 
($)
Balance still to be paid will be:
= 
($)
Thus the above solution is the appropriate one.
