Answer:
A) 3
Step-by-step explanation:
Slope defines the rate of a change in a linear equation. As the function is written in slope-intercept form, mx + b, in which m is the slope and b is the y-intercept, 3 is your slope.
Remember, to the find the volume, you have to do length*width*height.
So it would be 7/4 * 3/2 * 1/2
To answer this, multiply all the numerators together, and multiply all the denominator together.
This would be:
21/16
So the answer is 21/16 cm^3 or 1.3125 cm^3.
Hope this helps. If you have any questions, place it in the comment section below.
Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
Multiply everything in the second parenthesis by x.
-3x^3 + 3x^2 + x
Multiply everything in the second parenthesis by 2.
-6x^2 + 6x + 2
Combine these two equations together.
-3x^3 + 3x^2 + x - 6x^2 + 6x + 2
Combine like terms.
-3x^3 - 3x^2 + 7x + 2
Hope this helps!
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