Caitlin earns money as a lifeguard and as a pet sitter. In one week, she earned $25 pet sitting. The total amount of money she earned that week was less than $75. The inequality g + 25 less-than 75 represents g, the possible amount of money she made as a lifeguard.A number line. An open circle is at g. Everything to the left of g is shaded.

What is the value of g on the number line?

$25

$49.99

$50

$75

The Fundamental Theorem of Algebra says that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

We will see that the polynomial has 6 roots.

Let's see how we get that answer:

The theorem means that even if we do not see the graph crossing the x-axis, there is still a root (a complex root).

Then the number of roots is just the same as the degree of the polynomial (such that there may be multiple roots in one given point).

The degree of the polynomial function:

p(x) = (x^3 - 3*x + 1)^2

is 6, so we have a total of 6 roots. (We only look at the larger exponent to find the degree of the polynomial).

If you want to learn more, you can read:

brainly.com/question/2770908

The fundamental theorem of the algebra, establishes that for any polynomial of degree n, the roots of the polynomial are also n roots.

Where n is an integer greater than zero.

We then have the following function:

We observe that the term of greatest exponent for the polynomial is:

Therefore, the polynomial has 6 roots.

Answer:

exist 6 roots for the polynomial function

The correct answers are options:

a. They could be parallel to each other.

c. They could be perpendicular to each other

e. They could be the same line.

Explanation:

Two lines are parallel if they do no intersect each other any point. Such lines have same slopes and the cross the y axis at different points.

Two lines can intersect either at one point or they intersect at infinite number of points. Second case occurs when both equations represent the same line so we say that the two equations have infinite number of solutions as each point will satisfy both the equations.

Two line can be perpendicular if they are at right angle to each other. This means a right angle is formed at their point of intersection. The slope of such lines is negative reciprocal of each other.

Skew lines can occur only in 3D. Two lines are skew lines if they are neither parallel nor they intersect each other at any point. Such condition can not be achieved when two linear equations are graphed on the coordinate axis.

Two equations can represent the same line when one equation is obtained by multiplying the second equation by a constant number. In this case the two equations have infinite number of solutions.

Answer 7.3 Units

use the order of operations

first do

16-14

then 6-(-1)

answers

2^2

7^2

then you will do the ebonites on both of them

giving you

4

49

then you add them

4+49

square root 53

square root that and get 7.28

round and get

7.3 units

Answer:

2

Step-by-step explanation:

Take any 2 points on the graph,

(50, 10) & (90, 90)

Use the slope formula:

= (90-10)/(90-50)

= (80)/(40)

= 2

Hence, the slope is 2.

Feel free to mark this as brainliest! :D