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Rudiy27
3 years ago
15

What is the solution for x in the equation?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

4/3

Step-by-step explanation:

−x+

3

7

=2x−

25

7

Step 1: Simplify both sides of the equation.

−x+

3

7

=2x+

−25

7

Step 2: Subtract 2x from both sides.

−x+

3

7

−2x=2x+

−25

7

−2x

−3x+

3

7

=

−25

7

Step 3: Subtract 3/7 from both sides.

−3x+

3

7

−

3

7

=

−25

7

−

3

7

−3x=−4

Step 4: Divide both sides by -3.

−3x

−3

=

−4

−3

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<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

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Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

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At x=4

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By the above, the function satisfies the condition for continuity.

The correct option is D.

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Step-by-step explanation: Hope this helped :}

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