Explain why x^2 + 4x + 3 is factorable.

PLEASE I NEED HELP!!​

Answers

Answer 1

Answer:

Step-by-step explanation:

In order to find the values to factorize the equation, we need to find the factors the factors of 3 that sum to 4

The factors of 3 are [tex]\pm: 1, 3[/tex]

We can make 4 with 1 + 3

Since all the values are positive, both of the factors will have addition

[tex]x^2+4x+3\\(x+3)(x+1)\\\\x^2 + x + 3x + 3\\x^ + 4x + 3[/tex]


Related Questions

What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36

Answers

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?

Answers

Answer:

$120*.12= then add the answer to the money amount

Step-by-step explanation:

Answer:  120*1.12

The multiplier 1.12 represents the idea of increasing by 12%

This is because 100% + 12% = 1 + 0.12 = 1.12

For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.

Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Answers

Answer:

B. 19 inches and 60 inches.

Step-by-step explanation:

Required

Select matching pairs

Represent diameter with D and Circumference with C

C is calculated as:

[tex]C = \pi D[/tex]

Where

[tex]\pi = 3.142[/tex]

A. D = 5m; C = 22m

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 5[/tex]

[tex]C = 15.71[/tex]

15.71 does not approximates to 22m.

Hence, the pair do not match

B. D = 19 in; C = 60 in

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 19[/tex]

[tex]C = 59.698[/tex]

59.698 approximates to 60.

Hence, the pair match

C. D = 33 cm; D = 80 cm.

Using: [tex]C = \pi D[/tex]

[tex]C =3.142 * 33[/tex]

[tex]C =103.686[/tex]

103.686 does not approximates to 22m.

Hence, the pair do not match

From the analysis above, only option B matches the diameter with the circumference

Help I reward you the Brainlyest

Answers

The y- intercept is (0,-7)

The x- intercept is (7/5,0)

Hope this helps!

Answer:

(0, -7), (7/5, 0)

Step-by-step explanation:

rearrange your equation to look like y = mx+b where b is the y-intercept

y-3 = 5(x-2) distribute

y-3 = 5x-10 add 3 to both sides

y = 5x -10 +3 combine like terms

y= 5x-7  so

y-intercept is at ( 0, -7)

to find x-intercept make 5x-7=0 and solve for x

5x-7 = 0 add 7 to both sides

5x = 7 divide both sides by 5

x=7/5 or 1.4

x-intercept is (7/5, 0)

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

Shown below are parallel lines n and p which are cut by transversals r and s which are perpendicular to each
other. Which of the following is the measure of 21?
(1) 51
(2) 64
(3) 72
(4) 102

will give brainliest asap!


Answers

It will be 3. 72 is your answer

Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

The angle measure where two perpendicular lines intersect each other equals 90 degrees.

Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.

Since lines n and p are parallel lines, therefore:

[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)

Subtract 90 from each side

[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]

Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

Learn more here:

https://brainly.com/question/19191529


Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Answers

9514 1404 393

Answer:

domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line test

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

Simplified fraction 8 (5/6) =

Answers

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

20/3

STEP BY STEP EXPLANATION

What word phrases represent the expressions (2x+3) + 7 and 2x + (3+7)? Are the two expressions equivalent? Explain.

Answers

Answer:

yes

Step-by-step explanation:

the results are equivalent. because, the formula is: a + (b + c) = (a + b) + c

Scientists are preparing two satellites to be launched. The equation y = 8000.C represents the number of miles, y, that the satellite, Space Explorer B, flies in hours. The satellite, Space Explorer A, flies 24000 miles in 20 hours. How much faster does Space Explorer B travel per hour than Space Explorer A?​

Answers

Answer: 6800

Step-by-step explanation:

24000 divided into 20

8000-1200

The rate of speed is the rate at which the total distance is traveled in the time taken.

The Space Explorer B travel 6.67 times faster than Space Explorer A.

What is rate of speed?

The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, [tex]d[/tex] is the distance traveled by the object and [tex]t[/tex] is time taken but the object to cover that distance.

Given information-

The equation given in the problem is,

[tex]y=8000[/tex]

Here, [tex]y[/tex] represented the number of miles that the satellite, Space Explorer B, flies in hours.

The satellite, Space Explorer A, flies 24000 miles in 20 hours.

The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,

[tex]s=\dfrac{24000}{20}\\s=1200[/tex]

Thus the Space Explorer A, travels 1200 miles per hour.

As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,

[tex]d=\dfrac{8000}{1200} \\d=6.67[/tex]

Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.

Learn more about the rate of speed here;

https://brainly.com/question/359790

Quadrilateral WXYZ below has an interior angle sum of 360°.

Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle

Answers

Answer:

the W is 90°, means it is a right angle

Step-by-step explanation:

add all numbers, then subtract the sum to 360 and you will get the answer

Answer:

the anwser is A

Step-by-step explanation:I got a 100% on my test

I need help on this question

Answers

Answer: The answer is 16

Step-by-step explanation: Ron is 6 tall and cast a 3ft shadow, which means its showing half his size. The tree is casting a 8 ft shadow so that means double the shadow and you should get 16ft

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

30 miles = 48 kilometres

Step-by-step explanation:

30 miles divided by 8 = 6

6 x 8 = 48

= 48 kilometres

Answer:

76.16

Step-by-step explanation:

5 miles = 8 km

==> 1 mile = (8/5) km= 1.6km

47.5 miles = 47.6 * 1.6 km =76.16km

Please mark as Brainliest!!

Test your PEMDAS

6+8/2(2+2)

This one is tricky

Answers

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON

Answers

Answer:

Its C

Step-by-step explanation:

The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?

a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz

Answers

Answer:

B. 12.96

Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.

Answer:12.69

Step-by-step explanation:

7.2 pounds + 80% =

12.96 pounds im telling you

I need help bad please anyone I need this​

Answers

Answer:

The answer is A because 144 - 121 = 23 so

Step-by-step explanation:

because 144 - 121 = 23

F(x) = (4x–5)/6
Find the Inverse

Answers

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps!  Stay Safe!

Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *

Answers

In order for me to answer this I need the graph

Select a symbol to compare the numbers

Answers

7/10 is greater than 0.07 because 7/10 is equal to .70
7/10 because that is greater than any others so the 7/10 needs >this one

the sum of two numbers is 100 and their difference is 80, what are the two numbers

Answers

Answer:

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation:

90 and 10
Answer:
x=90
y=10

Explanation:
Let x be equal to the first number.
Let y be equal to the second number.

We know that the sum of the two numbers is 100, so we can say that x+y=100.

We also know that the difference of the two numbers is 80, so we can also say that x-y=80

And now we have our two equations:

x+y=100
x-y=80

To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).

x+y=100
x-y=80
-> 2x=180

2x=180
Divide both sides by 2
2x/2=180/2
x=90

Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.

x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10

Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.

I hope this helps!

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n

Answers

Answer:

27

Step-by-step explanation:

9x3 is 27. Coefficient is the number in the term.

whats the answer im stuck ( -___-)

Answers

Answer:

(6r+7)+(13+7r)=13r+20

(13-1/2r)-(1-r)=12-1/2r

(-8-r)+(2r-4)=-12+r

Last one is r-13/6

Step-by-step explanation:

i need the solution to 5x+2y=7 and 7x+6y=-3

Answers

Answer:

1. x=7/5-2y/5

2. x = − 8 √ 3 ( − 1 − 2 y )

Step-by-step explanation:

i did it

Francis has a large vegetable garden that covers 47 of her backyard. Her patio covers 13 of the yard, and the rest is grass. What portion of Francis’s yard is grass?
If someone can please answer this!!

Answers

You know ...........

At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?

Answers

Answer:

$14.22

Step-by-step explanation:

step one:

given data

we are told that 2 1/4( 2.25 pound) of candy cost $8

let us find the cost of 1 pound first

so

2.25 pound cost  #8

1 pound will cost x

cross multiply

x=8/2.25

x=$3.55 for one pound.

step two:

Hence  if 1 pound cost $3.55

4 pound will cost = 3.55*4= $14.22

don leaves home 2pm. he drives 45 miles from home in the first hour

Answers

Answer:

if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm

Step-by-step explanation:

The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular

Need ASAP

Answers

Answer:

the answer to this question is parallel

Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.

Answers

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

= 12 / 15

= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

Answer:

1 4/5

Step-by-step explanation:

2 + 3x²y - 1⁄2y + y - 1

Answers

Answer:

3x²y+0.5y+1

Step-by-step explanation:

2+3x²y -0.5y+y -1

2 and -1 is 1

-0.5y and +y is +0.5y so the answer is...

Other Questions
Which continents did the Challenger explore in the late 1800's? which triangle is the most similar to triangle ABC? How many of the numbers between 8 and 65 are a multiple of 7?A) 5 B) 6C) 7D) 8 How does Tom feel about Jordan? In The great Gatsby Help plz using rational exponents. if you spun the spinner 100 times would you expect it to land on red Paul allowed the __________ of each letter to determine the style in which he wrote it.datelengthpatronpurpose Hello! Did anyone took the isat ( International student admission test) ?? Please let me know ! Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. PLS HELP ILL GIVE BRAINLIEST Unit 4 Test, Part 2: Congruence and ConstructionsHelp with my math please Immediately following the French and Indian War, American colonists were determined toA) declare independence from Great BritainB) settle lands in the Ohio River Valley C) create commercial relationships with American IndiansD) repay debt incurred during the war THIS IS URGENT, IM ABOUT TO START CRYING!!!The table below represents a linear function f(x) and the equation represents a function g(x):x f(x)1 50 11 3g(x) g(x) = 4x + 3Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)Part B: Which function has a greater y-intercept? Justify your answer. (4 points)(10 points) WHO KNOWS ALGEBRA 2 AND WANNA MAKE 30$ Need help with these blanks please!!! Will give brainliest What is the slope of a line parallel to the line whose equation is 3x 3y = -45.Fully reduce your answer, I have a simple question please answer it correctly its 10pts and brainiest. :) What is the purpose of this document? whats your faveroir song 3. Your friend from Australia (in the Southern Hemisphere) has never seen the star Polaris.Provide an explanation for why your Australian friend cannot see Polaris.Text to speech how much does dog whisperer Cesar Millan charge to help a dog?