B
Graph b is the only graph showing a pair of parallel lines.
Graph A are perpendicular lines and the other two are graphs that intersect. Parallel lines do not intersect each other.
Hello! We see that 6 is the fixed amount. x represents the amount of something, and the solution makes a number $27. Let's make a real-world problem and then execute it.
Fawn has $6 in her piggy bank. She makes bracelets to sell to family & friends for $3 each. She wants to buy a video game that with tax, costs a little over $27. How many bracelets would Fawn have to sell in order to have enough money to buy the video game?
How to solve it:
So we have the expression of 3x + 6 > 27. First off, subtract 6 from both sides. 6 - 6 cancels out. 27 - 6 is 21. That's 3x > 21. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 21/3 is 7. There. x > 7. Fawn will have to sell more than 7 bracelets in order to have enough money for the game.
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
Answer: 0x³ - 3x² + 7x - 4
+
-x³ + 0x² + 5x - 2
Step-by-step explanation: