Answer:
The range is y ≥ -1
Step-by-step explanation:
∵ f(x) = (x - 4)(x - 2)
∴ f(x) = x² - 2x - 4x + 8
∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by
parabola graphically
∵ a = 1 , b = -6 , c = 8
∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3
∴ f(3) = (3)² - 6(3) + 8 = -1
∵ a is positive ⇒ the curve has minimum point and it's open upward
∴ the minimum point is (3 , -1)
∴ The range is y ≥ -1 ⇒ because the minimum value is -1
Answer: (8^{12})^3=8^{12\times 3}=8^{36}
Step-by-step explanation:
Given : the expression (8^{12})^3
We have to simplify the given expression and choose the correct from the given options.
Consider the expression (8^{12})^3
Using property of exponents,
\left(a^b\right)^c=a^{b\times c}
We have,
(8^{12})^3=8^{12\times 3}=8^{36}
Answer:
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Hi, what exactly is the question ?