Answer:
Step-by-step explanation:
x^3+3x^2-x+2x^2+6x-2
To simplify this expression completely we combine like terms
3x^2 and 2x^2 are like terms
3x^2 + 2x^2 is 5x^2
-x and 6x are like terms
-1x + 6x is 5x
We cannot simplify more because all terms are unlike terms.
The y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.
the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.
so whatever point is in both of those shaded areas would satisfy both inequalities
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 10, 4) and (x₂, y₂ ) = (2, - 5)
m = = = - , thus
y = - x + c ← is the partial equation of the line
To find c substitute either of the 2 given points into the partial equation
Using (2, - 5), then
- 5 = - + c ⇒ c = - 5 + = -
y = - x - ← equation of line
Answer:
A) 14/27 cubic cm
Step-by-step explanation:
Volume of a rectangular prism is length x width x height
Volume = 2 1/3 x 2/3 x 1/3
I'd convert the 2 1/3 to an improper fraction to keep things consistent = 7/3
7/3 x 2/3 x 1/3
multiply the numerators: 7 x 2 x 1 = 14
multiply the denominators: 3 x 3 x 3 = 27
14/27 cubic cm