<em> x₁ = - 1</em>
<em> x₂ = 2</em>
- Step-by-step explanation:
<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>
<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>
<em>2ˣ = n</em>
<em>2n² - 9n + 4 = 0</em>
<em>2n² - n - 8n + 4 = 0</em>
<em>n(2n - 1) - 4(2n - 1) = 0</em>
<em>(2n - 1)(n -4) = 0</em>
<em>2n - 1 = 0 => n₁ = 1/2</em>
<em>n - 4 = 0 => n₂ = 4</em>
<em />
<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>
<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>
Average temperature = (12 - 8 + 3 + 6 - 15) / 5 = -2/5 = -0.4
Answer:
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
Step-by-step explanation:
(4x)¯² (4x)³ (4x)⁹
The above expression can be simplified as follow:
Recall:
When we have two or more index number with same base and a multiplication sign in between them, we easily simply by adding the index number together while keeping the base constant. This is illustrated below:
a^m x a^n = a^(m + n)
Therefore,
(4x)¯² (4x)³ (4x)⁹ = (4x)^(-2 + 3 +9)
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
Answer:
The answer is 19.4322
Step-by-step explanation:
