A system of equations is graphed on the coordinate plane.
2 answers:
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.
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1. Ans: Option (B) 
Explanation:
Given:
Take the common out:
=>
Hence: =>![[tex]-6x^4](https://tex.z-dn.net/?f=%5Btex%5D-6x%5E4)
[/tex] (Option B)
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: => (Option D)
3. Ans: Option (B)
<span> quadratic trinomial
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=> (Option B)
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
<span>
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = - 
=> Final area of the Yard =
(Option D)
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= -
=> Final area of the lot = (Option A)
-i
Explanation:
Given:
Take the common out:
=>
Hence: =>
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: =>
3. Ans: Option (B)
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=>
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard =
=> Final area of the Yard =
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot=
=> Final area of the lot =
-i