The answer to this is 36.
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
Answer:
= 43
Step-by-step explanation:
{7 ×
- 7} -2 ×3
Solve the brackets first
{7 × 8 - 7} -2 ×3
{56 - 7} -2 ×3
49 -2 ×3
49 -6
= 43
you are right
The dividend of the given expression above is,
3d² + 2d - 29
and its divisor is equal to d+3. The steps in the long division are written below.
1. First, divide the first term of the dividend (3d²) by first term of the divisor (d). This gives us 3d.
2. Next, multiply the answer, 3d, by the divisor (d+3). This gives us 3d² + 9d.
3. Then, subtract the answer, 3d² + 9d from the dividend, 3d²+2d-29. This gives us,
-7d - 29
4. Next, divide the first term of -7d by the first term of the divisor, d. This gives us the answer of -7.
5. Next, multiply the answer, -7, by the divisor, d+3. This gives us -7d-29
6. Then, subtract the answer in step 5 from the answer in step 3. This gives us,
-7d-29 - (-7d-39) = 0
7. Combining the answer in steps 1 and 4 for the final answer will give us the answer of
3d-7
<em>Answer: 3d-7</em>
Answer:
im pretty sure 9 is 100.9(growing) or 0.95 (pop shrinking) and 13 is 0.8566
Step-by-step explanation: