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Sladkaya [172]
2 years ago
5

2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0

Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

Let's solve:

2(2−2x)=−3x

Step 1: Simplify both sides of the equation.

2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x

Step 2: Add 3x to both sides.

−4x+4+3x=−3x+3x \\ −x+4=0

Step 3: Subtract 4 from both sides.

−x+4−4=0−4 \\ −x=−4

Step 4: Divide both sides by -1.

\frac{ - x}{ - 1}  =  \frac{ - 4}{ - 1}

Therefore, the answer will be x = 4.

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Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C

Step-by-step explanation:

<em>The zeroes of a function are </em><em>the x-coordinates of the point of intersection between the graph of the function and the x-axis</em><em> (x-intercepts) which means </em><em>values of x at y = 0</em>

Part A:

In the given graph

∵ The graph of the function f(x) = -x^{4} - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

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∴ There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

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