Answer:
The third graph is correct for the inequality 2x + 3y > -3
Step-by-step explanation:
The slope of the graph is –2/3.
The y-intercept is –1
The area above the dashed be line is shaded.
To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.
For example: (1,1)
2(1) + 3(1) > –3
2 + 3 > –3
5 > –3 True.
Answer:
-2
Step-by-step explanation:
[3-(-1)]/[2-4] = -2
Step-by-step explanation:
We know that
Radius = Diameter/2
=> Radius = 2/2
=> Radius = 1 in
Now,
Volume of cylinder = πr²h
=> π × (1)² × 9
=> 9π in³
Since it is filled ⅔ of the volume
So,
Water to be putted = ⅔ × 9π = 6π in³
Answer:
h = 6
Step-by-step explanation:
Answer:
x = 5, -3
Step-by-step explanation:
2x² - 4x - 5 = 25
add 5 to each side
2x² - 4x = 30
factor out the 2
2(x² - 2x) = 30
divide both sides by 2
x² - 2x = 15
divide b by 2, square it -- (b/2)², and add it to both sides
-2/2 = -1 → -1² = 1
x² - 2x + 1 = 15 + 1
factor the expression on the left -- this will be [x - (b/2)]²
(x - 1)² = 16
find the square root of both sides
x - 1 = ±4
add 1 to both sides
x = 4 + 1
x = -4 + 1
solve
x = 5, -3
