PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7

Answers

Answer 1

Answer:

Using the mid-term break formula for all of them.

a) x²+7x+12

= x²+3x+4x+12

= x(x+3)+4(x+3)

= (x+4)(x+3)

b) x²+6x+8

= x²+2x+4x+8

= x(x+2)+4(x+2)

= (x+4)(x+2)

c) x²+5x+6

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x=3)(x+2)

d) x²+8x+7

= x²+7x+x+7

= x(x+7)+1(x+7)

= (x+1)(x+7)

Answer 2

Answer:

a) the middle number is seven and the last number is 12

factorising means we want something like (x + ___) (x +__)

Which number go into the blanks?

we need 2 numbers that add together to get 7 multiplied together to get 12.

3 + 4 is equal to 7

3x4=12

Answer:

(x+3)(x+4)

b) the middle number is 6 and the last number is 8

Factoring means we want something like

(x+___)(x+___)

which number go to the blanks?

We need two numbers that add together to get 6 and multiply together to get 8

2+4=6

2x4=8

Answer:

(x+2)(x+4)

c) the middle number is 5 and the last number is 6

we need two numbers that add together to get 5 and multiply together to get 6

2 + 3 is 5 and 2 x 3=6

Answer:

(x+2)(x+3)

Answer:

d) (x+1)(x+7)


Related Questions


Which of the following is an angle shown in the drawing?

Answers

Answer:

ABE

DBC

CBE

Step-by-step explanation:

They all have B as the middle one, and B is the vertex

I think

What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60

Answers

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :) :)

Answer:

15

Step-by-step explanation:

which two operations are needed to write the expression that repersents "four times the difference of a number and three"​

Answers

Answer:

4 (x-3)hhkjcdrtuvddistheansww

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.


Which graph represents the function f(x) = 1/x+3
-2

Answers

Answer:

Step-by-step explanation:

To eliminate ambiguity please use parentheses when typing a function like this one.  I'm going to assume that you meant

f(x) = 1 / (x + 3)     -      2

Start with the graph of y = 1/x.  Its vertical asymptote is the line x = 0.  The graph never touches the x-axis.  

Translating the entire graph 3 units to the left will give you the function

h(x) = 1 / (x + 3).

Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.

Answer:

Graph B on Edge2022.

Have a great day.

Please help me in this

Answers

Answer:

3

Step-by-step explanation:

as u add 2 + 1 from the 6 and 7 hours

Can someone help me with this one I’m stuck please and thank you

Answers

Answer:

none of them it should be ac,cb,ab. From my point of view

An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.

HELP!!!!!!!

Answers

Answer:

first class section has  14 Seats

Seat used = (5/7) * 14 = 10 Seats

Business class Section has 64 Seats

Seats used = (5/16) * 64 = 20 Seats

Economy class Section has 4 * 108 = 432 Seats

Seats used = (5/9) * 432 = 240 Seats

Total Seats = 14 + 64 + 432 = 510

Total Seats Used = 10 + 20 + 240 = 270

270/510  = 270 ( 2 * 255)   >  1/2

Yes , more than half of the seats being used

Step-by-step explanation:

Guess my rule. PLS HELP ME I BEG

Answers

Answer:

12,22,2002, 4x, 5x

Step-by-step explanation:

The rule is x2 +2

Not sure on the last 4

Sorry I answered late.

Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?

Answers

Answer:

261

Step-by-step explanation:

Answer:

Katie gave away 261 gel pens.

Step-by-step explanation:

3/4 ÷348= 261

the sum of the present ages of A and B is 60 years.5 years hence their ages will be in the ratio 4:3.What were their ages 5 years ago? please show the working

Answers

Answer:

A= 30 years old

B= 20 years old

Step-by-step explanation:

Let the present age of A be x years old.

Since the sum of the present ages of A and B is 60 years,

present age of B= (60-x) years old

In 5 years

A= x +5

B= 60 -x +5= 65-x

Since the ratio of A:B= 4:3,

A would represent 4 units and B would represent 3 units.

Thus [tex]\frac{3}{4}[/tex]A=B

[tex]\frac{3}{4}[/tex](x+5)= 65 -x

[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]

Thus, present age of A

= x

= 35 years old

present age of B

= 60 -x

= 60 -35

= 25 years old

5 years ago

A= 35 -5= 30 years old

B= 25 -5= 20 years old

* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.

7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?

Answer this Q. so that i will mark u as tge brainliest!​

Answers

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

F
D
80°
E
B
160
G
NOTE: Angles not necessarily drawn to scale.
2=

PLEASE HELPPP!!!

Answers

Answer:

[tex] \boxed{x\degree = 80\degree} [/tex]

Step-by-step explanation:

Vertically opposite angles are equal.

[tex] = > x \degree + 80\degree = 160\degree \\ \\ = > x\degree = 160\degree - 80\degree \\ \\ = > x\degree = 80\degree[/tex]

Answer:

80°

Step-by-step explanation:

Look at the picture* *

Need it for grade: What is X???

Answers

Answer:

x=6

Step-by-step explanation:

FG + GH = FH

4+x-3 = 2x-5

Combine terms

x+1 = 2x-5

Subtract x from each side

x+1-x = 2x-5-x

1 = x-5

Add 5 to each side

1+5 = x-5+5

6 =x

Answer:

x=6

Step-by-step explanation:

F G + G H = F H

4+x-3 = 2x-5

A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?

A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.

Answers

Answer:

The perimeter of the hexagon is equal to 36 units

Step-by-step explanation:

Let

x-------> the length side of the hexagon

L-----> the length of the rectangle

W-----> the width of the rectangle

we know that the perimeter of the hexagon is equal to the perimeter of the rectangle is equal to so

-------> equation A

-------> equation B

-------> equation C

Substitute equation B and equation C in equation A

Solve for L

Find the value of x

Find the perimeter of hexagon

Answer:

36 units

ur welcome sis

Step-by-step explanation:

Madeline is writing a computer program for class. The first day she wrote 5 lines of code. She wrote 15 lines of code on the second day and 45 on the third day. Find the total amount of lines of code written after all 6 days.

Answers

Answer:

1215

5×3,15×3,45×3,135×3,405×3=1215

A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters

Answers

Answer:

Ryan had a head start of 10 meters

Answer:

Ryan had a head start of 10 meters.

Have a great day!

Step-by-step explanation:

Please mark me brainliest!

I need help with this question

Answers

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?

Answers

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?

Answers

5.60+3.50=45 so it would be not today

Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?

Answers

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

The number of trades will Ian  and Jason each have an equal number of cards is 12 trades

The calculation is as follows;

Let's us assume the x' be the number of trades they will do.

 

20 + x = 44 - x

2x = 24

x = 12 trades

Learn more: brainly.com/question/16911495

Please help will mark brainliest

Answers

Answer:

-1/5

Step-by-step explanation:

which of the following descriptions represent the transformation shown in the image? Part 3b

Answers

Answer:  d) none of the above

Step-by-step explanation:

Start at Black Triangle: B = (0, -4)   C = (4, -1)   D = (2, -5)

End up at Red Triangle: B = (2, 0)  C = (-2, 3)   D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]

[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]

[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]

None of the given options transform the black triangle onto the red triangle.

Eduardo had 18 candies. 2/3 of the candies were butterscotch discs. How many were butterscotch discs?

Answers

Answer:

is 12

Step-by-step explanation:

2/3=18

18:3= 6

6 x 2=12

[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}

Answers

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot

Answers

[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

The product of the given expression is;

B: 10x^(5) • y√(6xy)

Laws of Exponents

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

Collecting like terms, we will have;

√[(5x^(8) × 10x³) × (y² × 12y)]

This now gives;

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

Read more about Laws of exponents at; https://brainly.com/question/11761858

A bag contains 2 red, 5 blue, and 2 white marbles. Find the probability of randomly picking a red marble, keeping the marble, and then picking a blue marble.


A) 7/8

B) 10/81

C) 5/36

D) 1/9

Answers

Answer:

5/36

Step-by-step explanation:

There are 9 marbles in the bag

P( red) = number of red / total

           = 2/9

Keep the marble

1 red, 5 blue, and 2 white  = 8 marbles

P( blue) = number of blue / total

           = 5/8

P(red, keep,blue) = 2/9 * 5/8 = 10/72 = 5/36

PLEASE HELP ASAP!!!
How is solving addition and subtraction equations similar to and different from solving multiplication and division equations?

Answers

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is

Answers

Answer:

300 inches tall or a flat surface is the best way you could use it to be

A survey of 720 adults nationwide asked, "What irks you most about the actions of other motorists?" The response "tailgaters" was given by 231 people. What percent of those surveyed were most irked by tailgaters? Round to the nearest tenth of a percent

Answers

Answer: 32.08%

Step-by-step explanation:

From the question, a survey of 720 adults nationwide asked, "What irks them most about the actions of other motorists? and the response "tailgaters" was given by 231 people.

The percentage of people that responded with tailgaters will be the number of people who responded with tailgaters divided by the total survey of adults asked and then multiplying by 100. This can be mathematically written as:

= 231/720 × 100

= 32.08%

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What is the rule that describes the numbers in this pattern?-10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001A Each number is 10 more than the number to its left.B Each number is one-tenth the number to its left.C Each number is one-tenth the number to its right.D Each number is 10 times the number to its left. Record 3 2/25 as a decimal. Please help!!!!! Using the following data on the Observations 10, 13, 4, and 20 confirm that the complete linkage distance between the cluster containing 10, 13) and the cluster containing (4, 20) s 2.577 units as displayed in the dendrogram Observation 13 20 0.032 0.195 -0510 0.466 0.741 0.8750.207 0.474 0.700 0.748 -0.004 -0.490 -0.892 0.735 0.219 0.655 -0.1731.013 0.943 0.083 -0.693 -0.489-0.702 -0.458 1.620 2.275 1328 1.733 -0.863 1.035 0.724 0.721 10 Income/Debt Return Cost Load Peak Sales TotalFuelCosts If required, round your answers to three decimal places.Do not round intermediate calculations 1. 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All the evilsknown to humankind - including disease - emerge from the box and spread outinto the worldWhich interpretation of this poem most clearly involves a change of medium?O A. A sarcastic college student reads Hesiod's story of Pandora at a slampoetry event, trying to evoke as many boos from the crowd as he can.O B. A student in high school writes about the story of Pandora, analyzing itsthemes and its impact on modern stories that reference the myth.C. A respected professor of classical literature translates the works ofHesiod, including the story of Pandora, from the original Greek toEnglishOD. A radio station creates a broadcast of the story of Pandora with a lot ofdialogue, starring well-known voice actors in the roles of Pandora andZeus. Read this inference: "Sherlock Holmes was expecting something to appear on this moor." What detail from the passage best supports this inference?A.His eyes bulged out when he saw the hound coming.B.His face was pale in the moonlight.C.He concluded someone had cunningly prepared the phosphorus.D.When he first hears the moor's silence broken, he was exultant. If you are a well- organized person, you..... your time. -(would manage-manage-managed-will manage) Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite, etc. Ryan remembered a 4-digit phone extension with this story: A person uses a hanger to pop a ball, then flies two kites. What number is Ryan likely remembering? (1) 2044 or (2) 2042 (3) 2004 or (4) 2204 the weights of cars passing over a Bridge have a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of the cars passing over the bridge, Lee distributed. 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