3,680 sq. in.
(36*20)*4= 2880
(20*20)*2= 800
Answer:
d The length of each petal is 4, and the number of petals is 4.
Step-by-step explanation:
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
Answer:
20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36
Step-by-step explanation:
Simplify the following:
20 - (10 + 2/9) - (5 + 1/4)
Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:
20 - (9×10)/9 + 2/9 - (5 + 1/4)
9×10 = 90:
20 - (90/9 + 2/9) - (5 + 1/4)
90/9 + 2/9 = (90 + 2)/9:
20 - (90 + 2)/9 - (5 + 1/4)
90 + 2 = 92:
20 - 92/9 - (5 + 1/4)
Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:
20 - 92/9 - (4×5)/4 + 1/4
4×5 = 20:
20 - 92/9 - (20/4 + 1/4)
20/4 + 1/4 = (20 + 1)/4:
20 - 92/9 - (20 + 1)/4
20 + 1 = 21:
20 - 92/9 - 21/4
Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:
(36×20)/36 + (4 (-92))/36 + (9 (-21))/36
| 3 | 6
× | 2 | 0
| 0 | 0
7 | 2 | 0
7 | 2 | 0:
720/36 + (4 (-92))/36 + (9 (-21))/36
4 (-92) = -368:
720/36 + (-368)/36 + (9 (-21))/36
9 (-21) = -189:
720/36 - 368/36 + (-189)/36
720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:
(720 - 368 - 189)/36
720 - 368 - 189 = 720 - (368 + 189):
(720 - (368 + 189))/36
| 1 | 1 |
| 3 | 6 | 8
+ | 1 | 8 | 9
| 5 | 5 | 7:
(720 - 557)/36
| | 11 |
| 6 | 1 | 10
| 7 | 2 | 0
- | 5 | 5 | 7
| 1 | 6 | 3:
Answer: 163/36
