Answer:
The answer to your question is the first option
Step-by-step explanation:
Write the division
7x³ - 7x² + 6x +4 Result
x + 1 7x⁴ - 0x³ - 1x² + 10x + 15
-7x⁴ - 7x³
0 - 7x³ - 1x²
+ 7x³ +7x²
0 + 6x² + 10x
- 6x² - 6x
0 + 4x + 15
- 4x - 4
0 + 11 Remainder
Result = 7x³ - 7x² + 6x + 4 + 11 / x + 1
There are 129 tens because 43x30 (3 tens) is 1,290
<h3>
Answer: Yes they are equivalent</h3>
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Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
Answer:
Does 2⁸ = (3√16)⁶? No.
Step-by-step explanation:
2⁸ = (3√16)⁶
Evaluate 2⁸. This can simply be written out as:
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
4 * 2 * 2 * 2 * 2 * 2 * 2
8 * 2 * 2 * 2 * 2 * 2
16 * 2 * 2 * 2 * 2
32 * 2 * 2 * 2
64 * 2 * 2
128 * 2
256.
256 = (3√16)⁶
Evaluate √16.
256 = (3*4)⁶
Multiply 3 and 4.
256 = 12⁶
Evaluate 12⁶. This can be rewritten as:
12 * 12 * 12 * 12 * 12 * 12
144 * 12 * 12 * 12 * 12
1728 * 12 * 12 * 12
20736 * 12 * 12
248832 * 12
2985984.
Since 256 ≠ 2985984, the answer to this question is no.
