1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kicyunya [14]
3 years ago
15

Factor this polynomial into the product of two binomials (30 points):

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:


Step-by-step explanation:

Let's begin by factoring x^2 + 9x  - 10

When you do that you get

(x - 1) (x + 10)

If that can be done then let x^(2n) + 9^n - 10 be factored into

(x^n - 1) (x^n + 10) Both of these can be equated to zero.

x^n - 1 = 0

x^n = 1

Take the nth root of both sides

No matter what n is the root of 1 is still going to be 1

x^n + 10 = 0

x^n = - 10

This one is a little harder. It depends whether n is odd or even. It it is odd, no problem.  The nth root of - 10 can be found.

For example, suppose n = 5. Then the 5th root of -10 is - 1.58

You can find this on your calculator by doing

(-)

10

y^x or x^y or ^ [whichever your calculator has]

=

and you should get - 1.58

======================

If n is even, you have a problem. If you do not know what complex numbers are, they this problem has not meaning. If n = 6, then you can take the sixth of 10. Then the answer becomes If you do know what then the answer becomes  1.468i. I would say if n is even there is no solution.

You might be interested in
How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property?
vampirchik [111]

Answer:

40+20=72-12

60=60

Step-by-step explanation:

4*10+4*5=6*12-6*2

40+20=72-12

60+60

7 0
2 years ago
Peter has decided to save $30 each week to buy a new stereo system.Write a direct variation equation for the amount of money, m,
Lena [83]
M=w-30 is the answer if you want to find how much you want to find each week.
3 0
3 years ago
Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
1. determine if the functions are inverse functions
kirill115 [55]

Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

Therefore, g(x) is the inverse of f(x).

<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

\implies y = -3x -9

Rearrange the equation to make x the subject:

\implies y+9= -3x

\implies x=-\dfrac13(y+9)

\implies x=-\dfrac13y-3

Replace x with f^{-1}(x) and y with x:

\implies f^{-1}(x)=-\dfrac13x-3

Therefore, g(x) is the inverse of f(x).

5 0
2 years ago
On the last day of school the fifth grade class has a picnic at the city park. Exactly 182 students and 274 adults are signed up
mamaluj [8]

Answer:

38 Tables

Step-by-step explanation:

First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.

182 + 274 = 456

Next, we divide that number by how many people fit at each table to find how many tables we need.

456 people ÷ 12 people at each table = 38 tables.

5 0
2 years ago
Other questions:
  • Write 12.5% as a fraction or mixed number in simplest form
    9·2 answers
  • KJ=3x+12 And KH=6x-15. What is KG?
    10·1 answer
  • A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
    8·2 answers
  • While on summer vacation, Mr. Duda traveled about 230 miles to a city near Dallas in 3 hours. How many miles
    9·1 answer
  • Two composite numbers with one factor tree
    12·2 answers
  • 5.5 over x = 1.375 over 11
    11·1 answer
  • Question 5 (Essay Worth 5 points) Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y
    15·1 answer
  • A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P.
    12·1 answer
  • What is the slope between (-12,-18) and (9,19)
    6·1 answer
  • What is the maximum increase in sales that can be sustained assuming no new equity is issued
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!