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Serggg [28]
3 years ago
6

The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

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

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The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents th
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The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

<h3>How to find the Mean Absolute Deviation?</h3>

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Read more about Mean Absolute Deviation at; brainly.com/question/447169

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X + 5 * 3 divided by 4 - 2=
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A spherical- shaped ball that has a radius of 4 inches is currently deflated.
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I am pretty sure its B.

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Solve for T: T/4+8&gt;-10 A. T&gt;72 B&gt; T&gt;-72 C. T T&lt;-72
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Answer:

\huge\boxed{B.\ T>-72}

Step-by-step explanation:

\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72

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