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zlopas [31]
3 years ago
7

What theorems can be utilized in solving polynomials and their depressed equations? How can polynomial functions be written when

given the zeros?
Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

Fundamental theorem of algebra, rational root theorem, Descartes rule of signs, remainder theorem, and the factor theorem can be utilized in solving polynomials and their depressed equations.  

Polynomial functions can be written when given the zeros by determining the factors of the function, and multiplying the factors.

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The equation represents an ellipse. which points are the vertices of the ellipse? (7, 1) and (7, −5) (7, −10) and (7, 6) (10, −2
OleMash [197]

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

Read more on vertices of an ellipse;

brainly.com/question/9525569

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7 0
1 year ago
The sum of two numbers is 97. One number is 1 more than twice the other number. Find the two numbers.​
guajiro [1.7K]

Answer:

The 2 numbers are 32 and 65.

Step-by-step explanation:

x + y = 97   where x and y are the 2 numbers.

x = 2y + 1

Substituting for x in the first equation:

2y + 1 + y = 97

3y = 96

y = 32.

So x = 2y + 1 = 64 + 1 = 65.

4 0
3 years ago
What is the expression of 8 more than a number x
aev [14]

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

8 0
3 years ago
Danny has 11 1/4 cups of chocolate syrup. He is going to make chocolate sundaes for his friends. Each sundae will have 3/4 cup o
il63 [147K]

Answer: Danny can make 15 sundaes from 11 1/4 cups of chocolate

Step-by-step explanation:

number of cups of chocolate syrup= 11 1/4 cups

For ever sundae, he decides to make, it will require 3/4 cup of chocolate

Number of sundae , Danny can make = number of cups of chocolate syrup /3/4  cup of sundae

= 11 1/4  / 3/4

45/4 x 4/3= 15 sundaes

Therefore, Danny can make 15 sundaes from 11 1/4 cups of chocolate

3 0
3 years ago
9. Hallar el perímetro del polígono en el plano cartesiano que se proporciona, cuyos vértices son A (-4, -3), B (-1, -5) y C (3,
Natalka [10]
(-4,-3) hola! My friend and thanks for asking mama Sita.
7 0
2 years ago
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