Answer: a) 12
Step-by-step explanation: anything with parentheses means times (×)
Answer:
Not very sure, I think it would be $150, sorry if wrong
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
8x and 7x + 3 are vertically opposite angles.
Vertically opposite angles are equal,
8x = 7x + 3
8x - 7x = 3
x = 3
Answer:
64
Step-by-step explanation:
Evaluate x^4 + 3 x^3 - 6 x^2 - 12 x - 8 where x = 3:
x^4 + 3 x^3 - 6 x^2 - 12 x - 8 = 3^4 + 3×3^3 - 6×3^2 - 12×3 - 8
3^3 = 3×3^2:
3^4 + 3×3×3^2 - 6×3^2 - 12×3 - 8
3^2 = 9:
3^4 + 3×3×9 - 6×3^2 - 12×3 - 8
3×9 = 27:
3^4 + 3×27 - 6×3^2 - 12×3 - 8
3^2 = 9:
3^4 + 3×27 - 69 - 12×3 - 8
3^4 = (3^2)^2:
(3^2)^2 + 3×27 - 6×9 - 12×3 - 8
3^2 = 9:
9^2 + 3×27 - 6×9 - 12×3 - 8
9^2 = 81:
81 + 3×27 - 6×9 - 12×3 - 8
3×27 = 81:
81 + 81 - 6×9 - 12×3 - 8
-6×9 = -54:
81 + 81 + -54 - 12×3 - 8
-12×3 = -36:
81 + 81 - 54 + -36 - 8
81 + 81 - 54 - 36 - 8 = (81 + 81) - (54 + 36 + 8):
(81 + 81) - (54 + 36 + 8)
| 8 | 1
+ | 8 | 1
1 | 6 | 2:
162 - (54 + 36 + 8)
| 1 |
| 5 | 4
| 3 | 6
+ | | 8
| 9 | 8:
162 - 98
| | 15 |
| 0 | 5 | 12
| 1 | 6 | 2
- | | 9 | 8
| 0 | 6 | 4:
Answer: 64
The greatest common factor of 12, 78, and 90 is 6.
Factors are the numbers, that when multiplied with another number, equal the product.
Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.
The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.
I hope this helps!
