Hi there!
The answer is C.
14 × 32 = (4 × 32) + (10 × 32) = 128 + 320 = 448
In the first step we splitted 14 up into two different parts that are easily multipliable. These two parts are 4 and 10. She must multiply 32 first by 4 and then we must multiply 32 by 10. This way we multiplied it a total of 14 times, just as we should.
14 × 32 = (4 × 32) + (10 × 32)
The radius of the shape is c. 3ft 3in
Answer:
21/8
Step-by-step explanation:
Simplify the following:
6 + 1/4 - (3 + 5/8)
Put 3 + 5/8 over the common denominator 8. 3 + 5/8 = (8×3)/8 + 5/8:
6 + 1/4 - (8×3)/8 + 5/8
8×3 = 24:
6 + 1/4 - (24/8 + 5/8)
24/8 + 5/8 = (24 + 5)/8:
6 + 1/4 - (24 + 5)/8
24 + 5 = 29:
6 + 1/4 - 29/8
Put 6 + 1/4 - 29/8 over the common denominator 8. 6 + 1/4 - 29/8 = (8×6)/8 + 2/8 - 29/8:
(8×6)/8 + 2/8 - 29/8
8×6 = 48:
48/8 + 2/8 - 29/8
48/8 + 2/8 - 29/8 = (48 + 2 - 29)/8:
(48 + 2 - 29)/8
| 1 |
| 4 | 8
+ | | 2
| 5 | 0:
(50 - 29)/8
| 4 | 10
| 5 | 0
- | 2 | 9
| 2 | 1:
Answer: 21/8
If the functions are inverses, then f(g(x)) = x.
A.
The functions are inverses of each other.
B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.
The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).
The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).
