What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

Answers

Answer 1

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)


Related Questions

solve all of these ?

Answers

21 Answer:

[tex] \frac{3}{a} [/tex]

22 Answer:

[tex] \frac{1}{ {b}^{3} } [/tex]

23 Answer:

[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]

24 Answer:

[tex]9c ^{4} [/tex]

25 Answer:

[tex] - \frac{1}{ {a}^{2} } [/tex]

26 Answer:

[tex] \frac{1}{ {c}^{2} } [/tex]

PLSS HELPP!!! I WILL BE GIVING BRAINLIEST AND POINTS:(!!

Answers

Answer:

A≈1628.55

Step-by-step explanation:

A=(6ah)+3sqr3a^2=6·8·27+3·sqr3·8^2≈1628.55376

Two angles are complementary. One angle is 18 degrees more than the other. What are the measures of the two angles?​

Answers

Answer:

Step-by-step explanation:

x+y = 90°

x = y+18°

(y+18°) + y = 90°

2y = 72°

y = 36°

x = y+18° = 54°

The base of a triangle is 2 more than three times the side lengths (x). If the
perimeter is equal to 97, then find the base .

Answers

Answer: 15

Step-by-step explanation:

Base is y
Side lengths x
y+2=3•x
P=2x+y
2x+y=97
2x=97-y
x=97-y/2 plug that into
3x=y+2
3(97-y/2)=y+2 multiply by 2
3(97-y)=2(y+2)
292-3y=2y+4
-3y-2y=4-292 multiply by (-1)
5y=288
y=288/5
y=57.6

3x=y+2
3x=57.6+2
3x=59.6
x=19.86

97=2•19.86+57.6
97=39.72+57.6
97=97.32
This is the best I came up with.

Good luck

What is the solution to this equation?

2 x + 10 = 28



Record your answer in the space provided. Be sure to use the correct place value.

Answers

Answer:

[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]

What is the rate of change in the equation?

Answers

Answer:

-5

Step-by-step explanation:

The rate of change is normally the number not attached to X so in this equation it is-5.

Determine the intercepts of the line.
y = -32 + 12
Y-
X-

Answers

Answer:

y = − 20

x = none

Step-by-step explanation:

There is no X intercepts

-32 + 12 = 20

Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.

Answers

Answer:

x ≈ 2879.4 m

Step-by-step explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{AB}{AC}[/tex]

0.17365 = [tex]\frac{500}{x}[/tex]

x = [tex]\frac{500}{0.17365}[/tex]

x = 2879.36

x ≈ 2879.4 m

In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate in one small city is much lower. The city council is debating a plan to offer tax breaks to first-time home buyers in order to encourage people to become homeowners. They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks. Since this plan costs the city tax revenues, they will continue to use it only if there is strong evidence that the rate of home ownership is increasing. a) In words, what will their hypotheses be

Answers

Answer:

H0 : Number of homeowners stays the same

H1: Number of homeowners increases.

Step-by-step explanation:

The hypothesis is to test if the level of home ownership rises or doesn't.

For this type of experiment,

The null hypothesis is the current level of home ownership.

The alternative hypothesis which is usually the opposite of the null is meant to challenge the claim of the Null. Hence, the null hypothesis will support the claim or hypothesis of the study, which is that the number of homeowners increases, hence, does not remain the same.

Therefore,

H0 : Number of homeowners stays the same

H1: Number of homeowners increases.

A dump truck delivers dirt for $6 per cubit foot. The dimensions are 4 3/4 ft by 8 ft by 17 ft. How much does a full load of dirt cost

Answers

Answer:

None. There can't be any dirt in it because it's a hole.

Step-by-step explanation:

1 Are these similar triangles? ​

Answers

Answer:

NOPE

Step-by-step explanation:

A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m

Answers

Answer:

A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m

Step-by-step explanation:

Given :

Velocity of bullet = 3510 km/hr

Distance traveled = 100m

Converting distance in meter to kilometer :

(100 / 1000) km = 0.1 km

Recall :

Speed = Distance /time

Time taken = Distance / speed

Therefore,

Time taken = Distance / speed

Time taken = 0.1 km / 3510 km/hr

Time = 2.849 * 10^-5 hour

What is 23x9+37-213+(5x12)

Answers

Answer: 91

is that a x or multiply?

i need the answerrrrr

Answers

Answer:

the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)

Step-by-step explanation:

Someone help please

Answers

Answer:

-2x2 y1/3

Step-by-step explanation:

Find the value or measure. Round answers to the nearest tenth, as needed.

Answers

Answer:

26

Step-by-step explanation:

Solve 9x-1 = 41-5x

9x-1 = 41-5x

   +1   +1

9x = 42-5x

+5x      +5x

14x = 42

/14     /14

x = 3

Plug in X for EF

41-5(3)

41-15

=26

Find the area. Simplify your answer.
x+7 x+2

Answers

Answer:

8x+2

Step-by-step explanation:

I think that's right I hope it is

The area of the quadrilateral is (x² + 9x + 14).

Given is a quadrilateral with height equal to (x+7) and the base is (x+2), we need to find the area of the quadrilateral,

So, to find the area of a quadrilateral, we need to know the lengths of both the height and the base.

In this case, the height is given as (x+7) and the base is given as (x+2).

The formula to find the area of a quadrilateral is:

Area = (base × height)

Let's substitute the given values into the formula and solve for the area:

Area = [(x+2) × (x+7)]

To simplify the expression, let's expand the brackets:

Area = (x² + 7x + 2x + 14)

= (x² + 9x + 14)

So, the area of the quadrilateral is (x² + 9x + 14).

Learn more about Areas click;

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Can you please answer without sending links because I can’t open them, thanks!

Answers

Answer:

B. C. E.

Explanation:

In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].

A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11100 dollars?

Answers

18.328 or 18.3 years

The duration of time period required is 2.4 years.

What is a compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.

A = P(1+r/100)ⁿ

n = time

A = amount

P = principal

11100 = 3500(1+0.0625)ⁿ

3.171 = (1.0625)ⁿ

Taking log to both sides,

log(3.171) = nlog(1.0625)

n = 2.40

Hence, the required time is 2.4 years.

For more references on compound interest, click;

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Which of the following equations is equivalent to y-3 = -2(x-6)?

а. y=-5x-9

b. y = -2x 3

с. y= -5x - 15

d. y = -2x + 9

Answers

Answer:

Step-by-step explanation:

Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.

Solve 81^x=27^x +2
x=1
x=2
x=5
x=6

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

[tex]{3}^{4x} = {3}^{3( x+ 2)} [/tex]

4x = 3(x + 2)

4x = 3x + 6

4x - 3x = 6

x = 6

Can someone help me with this ASAP please I’m being timed !

Answers

Answer:

b. y = 5/3x

Step-by-step explanation:

i hope this helps :)

whats the volume (5 points)​

Answers

Answer is: 20 because, u multiple 5 times 2 then, 10 times 2 which is 20 :D

lec types 3/5 of a paragraph in 2/3 minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?

Answers

Answer:

ik you in MS 118 but still the answer is 9/10

Step-by-step explanation:

multiply by the reciprocal 3/2.

3/5x3/2=9/10

i need help with graph pleasee​

Answers

Answer:

I drew the graph

I hope this helps you

do u need it still? i can help if not

Choose the ordered pair(s) that are solutions to the system. (There may be one or many correct options).

-3x-y>-4
2x-5y<-2

Answer Choices:
a. (5,5)
b. (2,6)
c. (-4,1)
d. (6,5)
e. (-5,0)
f. none of the above

Answers

Answer: C,E

Step-by-step explanation: This is because when we plug in 5 for x and  for y in the first inequality we get.

-3(5)-5>-4

Which equals -20>-4 and thats false so thats not it.

Then we got to (2,6) and we plug 2 for x and 6 for y and get:

-3(2)-6>-4

Which is -12>-4 which is false so thats also not it.

Then we got to C and we plug in -4 for x and 1 for y and we get:

-3(-4)-1>-4 and we get 12-1>-4

This is correct so we plug it in to the next inequality and get:

2(-4)-1<-2 and we get -9<-2 which is true

So C is an answer and we go on to d and e

For d we plug in 6 for x and 5 for y and we get:

-3(6)-5>-4 which is -23>-4 which is false so its not d

And then we go to e which is -5 for x and 0 for y and we plug in and we get:

-3(-5)-0>-4 This is 15>-4 which is true so we go to the next inequality and we plug in -5 for x and 0 for y and we get:

2(-5)-5(0)<-2 This is -10<-2 which is true so e is the other answer so the answers are

(C,E)

Solve for x and y simultaneously

Pls help me ​

Answers

I don't think its possible to do this... you have to have 2 equations

Here is it Y= 2/5x + 6/5, you just need to write it in the explicit form and then simplify it

.What is the perimeter of the figure below?*
2 in
9 in
2 in
11 in

Please help!

Answers

Answer:

I think 24

Step-by-step explanation:

11+9=20+2+2=24

PLEASE HELP I HAVE 30 MINUTES UNTIL CLASS ENDS PLEASE HELP

Answers

Answer:

12 stamps

Step-by-step explanation:

6 divided by 0.50 = 12

Answer: it’s 12

Step-by-step explanation: all I did was multiplied 6 by .50

Hope this helps!

What is the measure of angle 3?

Answers

the measure of angle 3 is 90
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