Factorise x2 + 4x + 3

Answers

Answer 1

Answer:

(x + 1)(x + 3)

Step-by-step explanation:

Given

x² + 4x + 3

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 1 and + 3, since

1 × 3 = 3 and 1 + 3 = 4, then

x² + 4x + 3 = (x + 1)(x + 3)


Related Questions

An oatmeal cookie recipe calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale. How many cups of butter will he need? Enter your answer as a reduced improper fraction.
wyatt will need _____ cups of butter ?

Answers

Answer:

1 1/4

Step-by-step explanation:

For 12 dozen cookies, 5/6 cups of better are needed.

What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

We have a oatmeal cookie recipe that calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake sale.

1/2 cup butter is needed for 5 dozen cookies.

For 1 dozen cookies, (1/2)/5 = (1/10) cups of better are needed.

For 12 dozen cookies, 10/12 cups or 5/6 cups of better are needed.

Therefore, for 12 dozen cookies, 5/6 cups of better are needed.

To solve more questions on graphs, visit the link below -

https://brainly.com/question/28972673

#SPJ2

A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time

Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by

300

T(W) =

530-W


I need help with the bottom part. What does t(110) mean I’m this situation etc.

Answers

Answer:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

Step-by-step explanation:

Given

[tex]w = headwind[/tex]

[tex]T = time[/tex]

Model:

[tex]T(w) = \frac{300}{530 - W}[/tex] -- This was not properly presented in your question

Required

What does T(110) means

First, we calculate T(110):

Substitute 110 for w in [tex]T(w) = \frac{300}{530 - W}[/tex]

The expression becomes

[tex]T(110) = \frac{300}{530 - 110}[/tex]

[tex]T(110) = \frac{300}{420}[/tex]

[tex]T(110) = 0.714[/tex] -- approximated

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

find the midpoint and distance between each pair of points, with easy explanation and work !! will give brainliest.



(-1,-4) , (-7,4)

Answers

If we have 2 coordinates say: (x1,y1) and (x2,y2)

Then the formula for the midpoint is:

((x1+x2)/2,(y1+y2)/2)

And the formula for the distance is:

Sqrt((x2-x1)^2+(y2-y1)^2)

So here we have (-1,-4) and (-7,4)

The midpoint is:

((-1+-7)/2,(-4+4)/2) = (-8/2,0/2) = (-4,0)

The distance is:

Sqrt((-7- -1)^2+(4- -4)^2)
= sqrt((-6^2)+(8^2))
=sqrt(36+64)
=sqrt(100)
=10

i will give brainiest to whoever answers this first and correct
a football squad of 24 players has three times as many right footed players as many left footed players write down the ratio of right footed players to left

Answers

Answer:

18 right foot players: 6 left foot players

Step-by-step explanation:

Let's write an equation

we do 3x+x=24

4x=24

x=6

Let me know if you have any questions

Which of the graphs below represents the solution set for d - 4 > -3?

Answers

Answer: C

Step-by-step explanation:

In order to compare functions we need to identify the
and the _______ and the _______

1) x and y

2)slope and y-intercept

3) domain and range

Answers

x and y because they are the numerator and denominator

Can anyone solve this question for me?
Tommorrow is my test I really need to get goingI need some help? ​

Answers

Answer:

m = 2, c = -8.

Step-by-step explanation:

The general form of a straight line equation is

y = mx + c    where m = the slope and c is the y-intercept.

We are given the line

y = 2x + 4

Comparing this with the general form we see that the slope of this line  = 2 and the y-intercept C is 4.

Now the given line y = mx + c is parallel to y = 2x + 4 which means that their slopes are the same so we conclude that m = 2.

Now we need to find the value of c which is the y intercept of y = mx + c.

Consider the points A and B:

A is the point where the line y = 2x + 4 intersects the x axis so y = 0 at this point , So substituting in the equation:

0 = 2x + 4

-4 = 2x

x = -2.

So the point A is (-2, 0)

B  is the point where y = 2x + c cuts the x axis so here y = 0:

0 = 2x + c

2x = -c

x = -c/2.

Now we are given that the 2 intercepts are 6 units apart, so:

-c/2 - (-2) = 6

-c/2 + 2 = 6

-c/2 = 4

-c = 8

c = -8.

The age and hourly pay of five employees in a store are shown in the table
age Hourly pay
16 10
18 10.25
18 12.50
20 14
22 15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year

Answers

Answer:

18$

Step-by-step explanation:

0.9*25-4.5= 18

Answer:

18

Step-by-step explanation:

I did the maps test

What is the 50th term of the arithmetic sequence 32, 27, 22, 17, 12

Answers

Answer:

5n - 27

n

5 because you minus 5 each time

27 because 32-5=27

(5×50) -27=

223

Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 12 miles?

Answers

Answer:

144 minutes or 2 hours and 24 minutes

Step-by-step explanation:

12 miles divided by 2 miles = 6

24 * 6 - 144

So the final answer is 144.

Answer: 144 minutes

Step-by-step explanation:

If she can run 2 miles in 24 minutes and she needs to run 12 miles you need to multiple 24 and 6 ( You get a six because 24 minutes is for TWO miles. So you need to split the 12 in half.)

Given that u = 2.89 and v = 5.7, find the value of G when:
a G = 5u + 2y

Answers

Answer:

28.85

Step-by-step explanation:

Plug the values in and solve.

G = 5u + 2y

G = 5(2.89) + 2(5.7)

G = 14.45 + 11.4

G = 25.85

please help this is due today

Answers

Answer:

5: A

6:C

7: No solution, the lines are parallel

8 part 1: A

8 part 2: D

and then I can't really read the rest of 9 but can tell you that B is true

Step-by-step explanation:

I'll assume that you need help with all of it and I don't know what the elimination method is so I just used desmos if you need me to explain it leave a comment

Solving systems by
substitution: The "Blob" method
Finish solving the system. The first steps are
done for you. Write the answer in the form:
(x,y)-
2x + 3y = 7
y = 2x - 3
Steps:
2x + 3(2x - 3) = 7
2x + 6x – 9 = 7

Answers

Answer:

(2, 1)

Step-by-step explanation:

8x - 9 = 7

8x = 16

x = 2

y = 2(2) - 3

y = 4 - 3

y = 1

can someone please help me asap?

Answers

find the area the get the premiraterStep-by-step explanation:add

what is the answer to 8x equals 16?

Answers

The answer is x=2.

8x=16

8xdivide8=16 divide 8

X=2

Answer: x = 2

[tex]8x=16[/tex]   Original Equation

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]    Divide both sides by 8

[tex]x=2[/tex]    Simplify

The area of this rectangle is 8cm2
(3x + 1) cm
(2x + 5) cm
Work out the value of x

Answers

Answer:

The value of  [tex]x = \frac{1}{6}[/tex]

The length of the rectangle   [tex]= \frac{3}{2}[/tex] cm

The width of the rectangle  = [tex]\frac{16}{3}[/tex] cm

Step-by-step explanation:

Step(i):-

Given that area of the rectangle = 8 cm²

Length of the rectangle (l) = 3x+1

width of the rectangle (w) = 2x+5

The area of the rectangle = length × width

Given that area of the rectangle = 8 cm²

Step(ii):-

Now

                   (3x+1) ( 2x+5)    = 8

       ⇒      3x(2x+5) +1(2x+5) =8

                    6 x² + 15x + 2x +5 =8

         ⇒     6 x² + 17x -3 =0

        ⇒      6 x² + 18x -x -3 =0

       ⇒   6 x ( x+3) -1(x+3) =0

       ⇒   6x -1 =0  and  x +3 =0

              [tex]6x = 1[/tex]  and   x =-3

             [tex]x = \frac{1}{6}[/tex]

The length of the rectangle

                               [tex]= 3 (\frac{1}{6} ) +1 \\= \frac{3}{2}[/tex]

The width of the rectangle

                            [tex]= 2 (\frac{1}{6} ) +5[/tex]

                            = [tex]\frac{16}{3}[/tex]

                                 

What is 40% of 240? 20 points

Answers

Answer:

40% of 240 = 96

Step-by-step explanation:

x = 240 × 40/100

x = 96

Hey there!

[tex]\bold{of = multiply}\\\bold{40\% \ of\ 240}\\ \\ \bold{40\% = \dfrac{4}{100}=\dfrac{2}{5}}\\ \\ \bold{\dfrac{2}{5}\times240=\underline{96}}\\\\\\\boxed{\boxed{\bold{Answer: \bold{\underline{96}}}}}\checkmark[/tex]

Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which expression is equivalent to ^3 square root x^10

Answers

Answer:

D. 3√x^9 • x

Step-by-step explanation:

3√x^10

A. 3√3x³ + x

B. 3√3x³ * x

= 3√3x^4

C. 3√x³ + x³ + x³ + x

= 3√3x³ + x

D. 3√x^9 • x

= 3√x^(9 + 1)

= 3√x^10

The equivalent expression to 3√x^10 is 3√x^9 • x

Answer:

D

Step-by-step explanation:

The second part is C x^3 3 square root x

The third part is a = -8 b= -2

Look at the angle. Which description is true?
It's less than 90°
It's equal to 90°
It's greater than 90°. HELP ASAP

Answers

Answer:

Less than 90 degrees

Step-by-step explanation:If it were equal to 90 degrees it could make a perfect square as the angle and if its more it would be open wide i guess im a bad explainer sorry

Hence , Option B is correct. It is less than 90 degrees.

What is an Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

How To Solve:

Observe the given figure.  A perfect Right Angle is in the  shape  "L"(or opposite/mirror L also). One can measure or construct it using a protractor.

If the L seems to be bent inwards , then its an acute angle and if the L is bent outwards, then it is an obtuse angle.  

From the given figure it can be concluded that the angle formed is an acute angle and hence its is less than 90 degrees.

Learn more about Angles at:

https://brainly.com/question/24063482

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What is the y-intercept of y = –3x + 6?
A. –6
B. –3
C. 3
D. 6

Answers

Answer:

6

Step-by-step explanation:

you can identify by it not having the x or any other variable!

If mn = 16 and m2 + n2 = 68. then
(m + n) 2 equals​

Answers

Answer:

So, the value of mn is 72.

Step-by-step explanation:

Given, m−n=16 and m  

2

+n  

2

=400

We know that, (m−n)  

2

=m  

2

+n  

2

−2mn   ... (i)

By putting the given values in equation (i),

(16)  

2

=400−2mn

256=400—2mn

256−400=−2mn

—144=−2mn

72=mn

So, the value of mn is 72.

f(x)=x^3+9x^2+23x + 15

Answers

This is what I got hope it helps!

Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?

Answers

Answer:

The answer is $1512.

Step-by-step explanation:

First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.

IM BEGGING YOU PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Which proportion could be used to solve for the length of the pond?

Answers

Answer: The second answer.

Step-by-step explanation:

Will give brainliest please help!!

Which expression is equivalent to 5.5x + 1-(1,5x+17)?​

Answers

Answer:

4x - 16

Step-by-step explanation:

X can be any value (I made it 20)

5.5(2)+ 1 - (1.5(2) +17)

11 + 1 - 20

12 -20

-8

4(2) - 16

8 - 16

-8

You better say thanks (from a grade 9 academic student)

Answer:

4x-16

Step-by-step explanation:

5.5x + 1-(1,5x+17)?

When there's a - in front of an expression in parenthesis, cvhangethe sign of each term in the expression.

5.5+1-1.5x-17

Like terms

4x + 1-17

Then boom 4x-16

Need help ASAP!! I'll give brainliest to correct answer!!!

A.) 45.3 m
B.) 17.0 m
C.) 27.7 m
D.) 34.0 m

Answers

Step-by-step explanation:

so...the answer is C.27.7m

Answer:

27.7

................

7. If P = [5,6,7,8). Q = (2,4,6,8) and
R=2, 3, 7, 9), then P nQnR=​

Answers

Answer:

pnQnR= {}

Step-by-step explanation:

there is no number common in set P, set Q and set R.

So the answer is null

{}

Answer:

{} there is no number common to the three sets so it is an empty set

Step-by-step explanation:

Help please!!
Which of the following triplets are possible lengths of line segments that could form a triangle with its vertices at their endpoints? Select the two correct answers

A. 5, 5, and 5

B. 7, 7, and 4

C. 6, 6, and 12

D. 8, 1, and 3

E. 3, 4, and 8

Answers

Answer:

A and B

Step-by-step explanation:

A triangle is a triangle if the sidelengths, a, b, c, in increasing order, satisfy the condition that a+b > c

only A and B satisfy that condition

Use combining like terms to solve the multi-step equations, find your answers in the legend below: *
i beg of you please answer this i really need help

Answers

rtwrygfijbhiueysgfuuwyguwei

1) x=10

2)x=8

3)x=9

Those are the answers for each equation

there’s a pic.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²

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