Answer:
the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
There are two negative roots to the provided polynomial function
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
<h3>What is polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
![\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n](https://tex.z-dn.net/?f=%5Crm%20a_1x%2Ba_2x%5E2%2Ba_3x%5E3%2Ba_4x%5E4..........a_nx%5En)
We have a polynomial function:
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
![\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%5Cleft%28x%2B1%5Cright%29%5Cleft%28x%5E6-x%5E5%2Bx%5E4-3x%5E3%2B3x%5E2%2B4x-2%5Cright%29)
Using the zero product property:
![\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0](https://tex.z-dn.net/?f=%5Crm%20%5Cleft%20x%2B1%5Cright%20%3D%200%20%5C%20%5C%20%5C%20or%20%5Cleft%20x%5E6-x%5E5%2Bx%5E4-3x%5E3%2B3x%5E2%2B4x-2%5Cright%20%3D%200)
After solving:
x = -1, x = -0.853, and x = 0.418 (using the graph method)
Thus, there are two negative roots to the provided polynomial function
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ1
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be ![c](https://tex.z-dn.net/?f=c)
And the number of hot beverages sold be ![h](https://tex.z-dn.net/?f=h)
According to the question:
c=4
h...
1.5
c + 2
h = Sale of any day
Part1:
For Saturday.
The sale is of
360
then
1.5
c +
2
h =
360
Part 2:
Following the method of substitution.
And plugging the values of c=4
h...in equation where the sales of Saturday is given.
1.5
c + 2
h =360
1.5
4
h + 2
h =360
6
h + 2
h= 360
8
h=360
Dividing both sides with 8.
h=![\frac{360}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B8%7D)
h=45
Inserting h=45 in c=4
h...
we have c=4
45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.
15.04 degrees or answer A is correct.
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)
The domain is {-9,-4,3,9}
The range is {2}