What is the value of the one real solution for y = x^3 - x^2 + 5

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

<h2>Answer:</h2>

$x=-1.433$

<h2>Explanation:</h2>

The easier way to solve this problem is to graph the function using graphing calculator. Here we have the following function:

$y=f(x)= x^3 - x^2 + 5$

So this is a cubic function that extends to $\infty$ as x tends to $\infty$ and $-\infty$ as x tends to $-\infty$ . This is so because the leading coefficient (the coefficient that accompanies $x^3$ ) is positive. Then, this graph will pass through a point in the x-axis which is the value of the only real solution. The graph shows that this value is:

$x=-1.433$

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The arithmetic average of a distribution of scores is the ____________________. The score that shows up most often is the ______

Fittoniya [83]

Answer:

Mean, Mode, Median, Range, Standard Deviation.

Step-by-step explanation:

The completed sentences are as follows -

The arithmetic average of a distribution of scores is the Mean
The score that shows up most often is the Mode
The score right in the middle of a distribution is the Median
We determine how much scores vary around the average in a way that includes information about the Range of scores by using the Standard Deviation

7 0

4 years ago

What is the solution to this system of equations?

Basile [38]

Answer:

C. x = 3, y = -6

Step-by-step explanation:

You can divide the second equation by 2. Then you have ...

x +2y = -9

This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:

(x +2y) -(x -2y) = (-9) -(15)

4y = -24 ⇒ y = -6

Adding the two equations eliminates y:

(x -2y) +(x +2y) = (15) +(-9)

2x = 6 ⇒ x = 3

The solution is (x, y) = (3, -6).

_____

<em>Additional comment</em>

I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).