Answer:
y = 4x - 3
Step-by-step explanation:
1. Pick tow points that is on the line; (1, 1) and (2, 5).
2. Find the Slope: Slope = (change in the y-values)/(change in the x-values)
Slope = (5 - 1)/(2 - 1) = 4/1 = 4
3. Use the slope and one point on the graph and substitute into y = mx + b
and solve for "b"
y = mx + b Slope = 4 point (1, 1)
1 = 4(1) + b
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4 and b = -3
y = 4x - 3
For this case we have a function of the form:
Where:
We must find the value of the function when, that is, . So:
We have to:
So:
Different signs are subtracted and the major sign is placed.
Answer:
The answer is x² + 23x + 49
The area (A) of the shaded region is the difference between the area of the rectangle (A1) and the white square (A2).
A = A1 - A2
A1 = (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
A2 = (x +1 )² = x² + 2x + 1
A = A1 - A2
= 2x² + 25x + 50 - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49