Answer:
Cost for Premier Landscaping = 
Cost for Ace Landscaping = 
Where 
is the number of hours spent on lawn care.
Step-by-step explanation:
Given that:
<em>Charges as per Premier Landscaping:</em>
Fixed charges for travel to the house = $15
Per hour charges = $55
Let be the number of hours for which lawn care is done.
So, Charges for hours = Per hour charges 
Number of hours =$55
Therefore, total cost =
Charges as per Ace Landscaping:
Per hour charges = $65
Let be the number of hours for which lawn care is done.
Then Charges for hours = Per hour charges Number of hours =$65
Therefore, system of equations that represent the lawn care services:
Cost for Premier Landscaping =
Cost for Ace Landscaping =
Where is the number of hours spent on lawn care.
Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:
The expression p(x) = - 13 represents a <em>zeroeth</em> polynomial.
<h3>What is a polynomial?</h3>
Herein we must present what the form of polynomials are. Polynomials are <em>algebraic</em> expressions whose <em>standard</em> form is defined below:
(1)
Where:
- i-th coefficient- n - Grade
- x - Independent variable
An example is the expression p(x) = - 13, <em>real </em>numbers can be define as <em>zeroeth</em> polynomials. In this regard, the example can be seen as:
p(x) = 0 · xⁿ + 0 · xⁿ⁻¹ + ... + 0 · x² + 0 · x - 13
<h3>Remark</h3>
The statement is incomplete. We decided to re-define the statement to what polynomials are.
To learn more on polynomials: brainly.com/question/11536910
#SPJ1
Two planes may intersect, be parallel, or coincide .
If two planes intersect, then the set of common points is a line that lies in both planes. Two parallel planes can not intersect.
The intersection of two planes that do not coincide (if it exists) is always a line.
If an intersection of the planes does not exist, the planes are said to be parallel.
