Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2
B) y = 2x + 7; y = 2x - 2 C) y = 2x + 7; y = 2x + 2 D) y = 2x - 7; y = 2x + 2
1 answer:
Answer:
C) y = 2x + 7; y = 2x + 2
Step-by-step explanation:
The two lines are parallel and so will have the same slope.
From the graph, the slope of both lines are two.
Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c
The blue line has a y-intercept of 2 so the equation is
The red line has a y-intercept of -7 so the equation is
Hence the system is
y=2x+2
y=2x-7
The correct answer is C
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Answer:
B. No, the remainder is -50.
General Formulas and Concepts:
<u>Algebra I</u>
- Roots are when the polynomial are equal to 0
<u>Algebra II</u>
- Synthetic Division
Step-by-step explanation:
<u>Step 1: Define</u>
Function f(x) = x³ - 10x² + 27x - 12
Divisor/Root (x + 1)
<u>Step 2: Synthetic Division</u>
<em>See Attachment.</em>
To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.
<em>Please excuse the bad handwriting. Hope this helped!</em>
