Answer:
36 cm³
Step-by-step explanation:
Volume of rectangular prism =( L * B * H) or (area * height)
= 12 cm² * 3 cm
= 36 cm³
Answer:
Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
To find a rational function's vertical asymyptotes, you need to find when the denominator is zero. So when is the denominator x² + 3x - 4 zero? We set that denominator equal to zero.
x² + 3x - 4 = 0
This second degree equation factors. We want a pair of numbers that multiply to 4, and there are only two pairs: 2 and 2, 1 and 4. We want the sum to 3, and one must be negative. -2 and 2 add to zero, -4 and 1 add to -3, -1 and 4 add to 3. The last one is the pair.
x² + 3x - 4 = 0
(x + 4) (x - 1) = 0
x = -4 or x = 1
So the function's vertical asymptotes are at x = 1 and x = -4.
The answer is - 40. Observe.
y/-4 + 5 = 15
y = -40
-40/-4 = 10
10 + 5 = 15
Thus, y= -40
5 can go into 67 about 13 times with a remainder of 2.
