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Morgarella [4.7K]
2 years ago
7

Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

Mathematics
2 answers:
VMariaS [17]2 years ago
5 0

Answer:

put x=-1, and the rest will be easy

4vir4ik [10]2 years ago
5 0

If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives

f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0

Solve for k; you end up with k = -3.

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At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the count
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Answer:

Difference = 5757\ feet

Step-by-step explanation:

Given

Highest\ Point = 5764\ feet

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Required

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miv72 [106K]

Answer:

The answers are below

Step-by-step explanation:

The greater sign is > and the less then symbol is <

Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.

In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3

In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is  x > 3

Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3

If you're wondering what the open dots and closed dots mean:

An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).

A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).

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