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
Stells [14]
2 years ago
6

Factor

6" alt=" {x}^{2} + x - 6" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
STatiana [176]2 years ago
3 0
This is in standard form Ax² + Bx + C. To factor this, you must find two numbers whose sum is B and whose product is C. In this case, B is positive (1) and C is negative (-6), so we know the two numbers will be a positive and a negative (a positive times a negative is always negative). Let's go through the possible pairs.

-6 × 1 = -6; -6 + 1 = -5
6 × -1 = -6; 6 + (-1) = -5
2 × -3 = -6; 2 + (-3) = -1
-2 × 3 = -6; -2 + 3 = 1

The numbers which add to equal 1 and which multiply to equal -6 are -2, 3.

The factored polynomial is (x - 2)(x + 3).
You might be interested in
Write the set of real numbers in interval notation. {x | x ≥ −8}
Vikentia [17]
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
8 0
3 years ago
A scale drawing of a door is 2 cm high. If the scale is 1 cm = 4 meters, what is the actual height of the door?
Vikentia [17]
Solve;

If each cm = 4 meters, then you multiply.

4*2 

= 8 

There are 2 cm, each cm = 4 meters, so you multiply to get your answer.

The final height of the door is 8 meters. 



7 0
2 years ago
Please show your work.​
Nastasia [14]

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

8 0
2 years ago
Which of the following is a solution of x2 + 6x = −18?
Rus_ich [418]
X= 9/4 i think i dont know
6 0
2 years ago
In 2007, the population of Ecuador was estimated at
swat32

Answer:

In 2012 , the population will be 15 million

Step-by-step explanation:

We start by setting up an exponential equation that defines the increase

P(t) = I(1 + r)^t

P(t) represents the present population = 15 million

I is the population in 2007 which is 13.8 million

r is 1.6% = 0.016

t is what we want to calculate

15 million = 13.8 million (1 + 0.016)^t

15/13.8 = (1.016)^t

1.09 = (1.016)^t

ln 1.09 = t ln 1.016

t = ln 1.09/ln 1.016

t = 5.429 which is approximately 5

So in 2007 + 5 = 2012, the population will be 15 million

8 0
3 years ago
Other questions:
  • Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
    11·1 answer
  • Need help pls
    10·1 answer
  • Determine the value of<br> b2 - 4ac<br> when:<br> a=0<br> b=4<br> C=100
    6·1 answer
  • Emma and Nathan went to a party supply store to buy decorations for the spring dance. Emma bought 3
    10·1 answer
  • High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Bec
    11·1 answer
  • Need help hurry pleaseee !!
    11·2 answers
  • Bonnie borrowed $2400 at 6% simple interest for one year. If she makes no payments that year, how much interest will she owe at
    6·2 answers
  • Which equation represents the standard form of the equation y = (x + 3)2 - 4?
    10·1 answer
  • Prove the following integration formula:
    12·2 answers
  • As the payroll manager for a particular company, your task is to complete the following weekly payroll record. The company pays
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!