Answer:
y > 6 or y < -3
Step-by-step explanation:
y² - 3y > 18
Complete the square.
y² - 3y + 9/4 > 18 + 9/4
y² - 3y + 9/4 > 81/4
(y - 3/2)² > 81/4
y - 3/2 > 9/2, or y - 3/2 < -9/2
y > 6 or y < -3
To solve for x, you need to isolate/get the variable "x" by itself in the equation:
3x - 3(x + 1) = 3 Distribute/multiply -3 into (x + 1)
3x + (-3)x + (-3)1 = 3
3x - 3x + 1 = 3
1 = 3
Your answer is no solution because the variable "x" is canceled out and 1 ≠ 3
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x
Answer:
Find the area of the base of the cylinder using A = (pi)r 2 . Subtract your answer from the 80 square inches for the cube and the area of the cylinder. 4. Add the surface areas of each figure to get the total area of the composite figures.
