Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:
y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points
On the other hand, the slope-intercept form is written as:
y = mx + b, where,
m is the slope of the line
b is the y-intercept
In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Answer:
Step-by-step explanation:
A = 25% of 16 =
Selling price after reduction = 16 - 2 = $14
B= 25% of 14
= 3.5
Selling price = 14 - 3.5 = $10.5
C = 25% of 10.5
= 2.625 = $ 2.63
Selling price = 10.5 - 2.63 = $ 7.87
Answer:
Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
(40×30)+(45×x)=2175
1200+45x=2175
45x=2175-1200
45x=975
solving for x we get
x=975/45
x=65/3=21 2/3 hours
Therefore the answer is c.562.50
Step-by-step explanation:
brainliest please
Question Completion:
Note: This is a Law question, not Mathematics.
Answer:
Decision:
Edwards and Davis are not personally liable for the debts of EEE, Inc.
Step-by-step explanation:
That Edwin Edwards and Karen Davis owned EEE Inc. does not force them to be personally liable for the debts of EEE Inc. EEE Inc. is a separate legal entity. There is the legal separation of ownership and the liabilities of Edwards and Davis are limited to the capital they contributed or undertook to contribute to the corporation. The corporate veil is only lifted when it is ascertained that EEE Inc. was not run as a legal entity separate from the owners. We can also conclude that there is no evidence of abuse of the corporate form of EEE Inc. with comingling of assets or for the purpose of promoting fraud or injustice or evasion of tort or contractual responsibility on the part of Edwards and Davis. Therefore, Edwin Edwards and Karen Davis are not personally liable for the debts of EEE Inc. as claimed by Reid Ellis.
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
