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
grigory [225]
3 years ago
13

Divide (x^2+x-6) by (x+3)

Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

x-2

Step-by-step explanation  

\frac{x^{2} + x - 6}{x + 3} = \frac{(x-2)(x+3)}{(x + 3)} = (x-2)

eliminate (x+3) from top and bottom leaving (x-2)

You might be interested in
Is y=x^2 a proportional relationship?
TiliK225 [7]

Answer:

is y=x^2 a proportional relationship?

{ \sf{yes. \: constant \: of \: proportionality = 1}}

is y=2+x a proportional relationship?

{ \sf{no. \: unless \: y \: is \: proportinal \: to \: (2 + x)}}

is y=2/x a proportional relationship?

{ \sf{yes. \: where \: proportianality \: constant \: is \: 2}}

is y=2x a proportional relationship?

{ \sf{yeah. \: constant \: is \: 2}}

6 0
3 years ago
Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
Factor completely 3x2 − x − 4.
vova2212 [387]
If you would like to factor completely 3 * x^2 - x - 4, you can do this using the following steps:

<span>3 * x^2 - x - 4 = (3 * x - 4) * (x + 1) = (3x - 4) * (x + 1)
</span>
The correct result would be (3x - 4) * (x + 1<span>).</span>
3 0
3 years ago
A man invests $5000 in an account that pays 8.5% interest per year, compounded quarterly
notka56 [123]
5000(1+.085/4)^n=1000
to find n use log:
1.02125^n 
N X log1.02125
when computed=32.9
round to 33 quarters compounded
33/4
equals to 8 years 3 months

3 0
3 years ago
Read 2 more answers
LOOK AT THE PHOTO PLEASE
Alex Ar [27]

Answer:

The answer to the question provided is 11.

Step-by-step explanation:

\:  \:  \:  \:  \: 5x + 9 = 6x - 2 \\  \frac{ - 5x \:  =   - 5x }{9  = 1x - 2}  \\  \frac{ + 2  \:  \:  \:  \: =  + 2}{ \frac{11}{1} =  \frac{1x}{1}  }  \\ 11 = x

[I apologize if the answer to the question provided is inaccurate]

4 0
2 years ago
Other questions:
  • Charlie runs at a speed of 3 yards per second . About how many miles per hour does Charlie run?
    13·2 answers
  • Can the distributive property be used to rewrite 2x(9-6)
    11·1 answer
  • Kyler ran 1/5 of a mile in 1 1/2 minutes how long will it take him to run 1/2 of a mile
    8·1 answer
  • Plz help in math: write an expression so that the product of a whole number and a decimal is 0.28.
    6·1 answer
  • Hey can anybody help me out with this please
    11·2 answers
  • Let X be the number of successes in six independent trials of a binomial experiment in which the probability of success is
    7·1 answer
  • Write an equation for the line through the given point and with the given slope m
    13·1 answer
  • Is the function linear or nonlinear?<br> _ y = 2x3 + 1
    5·1 answer
  • Anyone know the answer will give brainliest if correct.
    9·2 answers
  • Please help me, marking brainliest if correctly
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!