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3 years ago

Solve the inequality x/4 - 2x/4>-3

Mathematics

2 answers:

Jobisdone [24]3 years ago

6 0

Step 1: Simplify both sides

-1/4x > -3

Step 2: Multiply both sides by 4/-1

(4/-1) * (-1/4) > (4/-1) * (-3)

Final Conclusion: [x < 12]

Dennis_Churaev [7]3 years ago

4 0

Answer:

x<12

Step-by-step explanation:

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Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1

kicyunya [14]

Given:

$f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1$

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

$f(x)=\frac{x^2}{2}-4x+5$

Differentiating with respect to x we get,

$\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}$

Substituting x = 2 in the function f(x), we get

$\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}$

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So, the function is,

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Final answer: Option D

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Step-by-step explanation:

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