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Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Step-by-step explanation:

$- 2(3x + 7) = 32 - 4x \\ distribute \\ - 2 \times 3x = - 6x \\ - 2 \times 7 = - 14 \\ - 6x - 14 = 32 - 4x \\ add \: 4x \: to \: both \: sides \\ - 6x + 4x = 32 - 4x + 4x \\ - 2x = 32 \\ divide \: by \: - 2 \\ \frac{ - 2x}{ - 2} = \frac{32}{ - 2} \\ \\ x = - 16$

$4x + y = 3 \\ y = - 4x + 3 \\ using \: point \: slope \: form \\ y - y1 = m(x - x1) \\ y + 6 = - 4(x + 4) \\ y + 6 = - 4x - 16 \\ y = - 4x - 22$

First equation: Your equation is given.

Second equation: Distribute by multiplying every number in the parentheses by the number outside it.

3rd equation: Combine like terms by adding 4x to both sides.

4th equation: Combine like terms by subtracting 14 from both sides.

5th equation: Divide both sides by -2, the coefficient of x.

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graph the function f (x)=x4 -7x2 on the interval x=-3 to x=3 which of the following best describes the graph from left to right

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Answer:

when graphing f(x) between x=-3 & x=3, the result is a function that comes from x=-infinite and positive y, crosses the x-axis at (-2.646,0), continues to decrease until (-1.871,-12.25) and then increases until (0,0).

This function is symetrical by the y axis, therefore, after reaching (0,0), f(x) decreases until (1.871,-12.25), starts to increase until it crosses the x axis at (2-646,0) and continues to increase until x=+infinite

Step-by-step explanation:

This funcion appears as a large W, with it's points on (-1.871,-12.25) , (0,0) & (1.871,-12.25)