Explain the first steps to factoring when the leading coefficient is 1.

a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.

Answers

Answer 1

Answer:

In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.


Related Questions

If it costs $300 to tile a 420 square foot room, how much will it cost to tile a
room with 1,050 square feet?

Answers

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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aye anyone please help me with my math its really easy 9th grade I just figure out part of this question !!! please help

Answers

Answer:

hope this helps!

Step-by-step explanation:

Please help I do not understand it,Cos A=

Answers

40/9 alalalalalalalalalalaallaallalalaalal
9/41 it’s adjacent over hypotenuse

i need help!!!! list the factors of -108 that equal to -3

Answers

Answer:

9 and -12

Step-by-step explanation:

This is the answer 9 and -12

What does linear mean and what does a linear graph look like?

Answers

Linear is when the degree of an equation is 1 like 3x-6=0. A linear graph is a straight line.

Find the slope of any line parallel to the line through the given points (3,2),(3,1)

Answers

Answer:

the qoustion is not correct

Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.

You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.

Answers

Answer:Cross multiply and solve for x.

x/6 = 5/1.25

let the height of building be h ft

h/6 = 60/15

h = 6(60/15) = 24

the building is 24 ft high

Step-by-step explanation:

Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)

Is 30% of 70 is the same as 3/7 of 70?

Answers

Answer:

No

Step-by-step explanation:

30% is the same as 3/10

3/7 is about the same as 43%  

There is a difference among the percentage so no it's not correct

Yes, the value 30% of 70 is the same as 3/7 of 70.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To show this mathematically, we can start by calculating 30% of 70:

30% of 70 = (30/100) x 70

= 0.3 x 70

= 21

Now, let's calculate 3/7 of 70:

3/7 of 70 = (3/7) x 70

= 30/100 x 70

= 0.3 x 70

= 21

As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.

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What Does 6 More Than X Mean

Answers

Answer:

if x is an unknown number you know that it is 6 more than the unknown number

Step-by-step explanation:

what is the mean of the data set? 16, 24, 26, 13

Answers

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

The temperature in Lukeville is -13 ºC. The temperature in Metroburg is 12 ºC. How many degrees warmer is the temperature in Metroburg?

-1 ºC
1 ºC
25 ºC
-25 ºC

Answers

Answer:

25

Step-by-step explanation:

1. Make an equation: 12-(-13).

2. Solve the equation. Since there are 2 negative signs (one to the right of 12 and another to the left of 13) they can cancel each other out and they turn into an addition sign. Then, you get 12+13. You can easily solve that and you will get the answer of 25 degrees.

Each earbud is 4/7 of an inch long. If you put 8 earbuds end to end, how long would they be from beginning to end?​

Answers

Answer:

4 4/7

Step-by-step explanation:

4/7x8/1

4x8/7x1

32/7

4 4/7

Answer:

The answer is 4 4/7.

Step-by-step explanation:

4/7 x 8 = 32/7

32/7 = 4 4/7

pls help! marking brainliest!!

Answers

Answer:

x = 52

Step-by-step explanation:

∡RQS = 180 - (90 + 34)

∡RQS = 56°

∡PQS + ∡RQS = 180°

∡PQS = x + 72

x + 72 + 56 = 180

x + 128 = 180

x = 52

The graph shows a function. Is the function linker or non linear?

Answers

Answer:

It is linear since it is a straight line.

determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !!

Answers

Answer:

1) not parallel

2)not parallel

Step-by-step explanation:

fist one intersect already

and second one will eventually intersect

Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]

[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]

Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.

[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]

[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]

Not Parallel. Nor perpendicular.

show your work plzzz i will give you the points

Answers

Answer:

I do not see a problem.

Step-by-step explanation:

Thanks for the points.

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes​

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

         138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

12y + 29y +48y + 2ly + 13y + 7y

Answers

Answer:

Add all of the numbers then put a Y at the end.

Step-by-step explanation:

its just combining like terms, if their all Y. its jist adding with a letter at the end

Answer: 130y

here you go!

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

Of the following test scores, who do you think received the best score? The worst score? Why?

Carla : 3 out of 5

Desmond: 20 out of 25

Ignacio: 6.5 out of 10

Gina: 38 out of 50

Answers

Answer:

Desmond

Step-by-step explanation:

3 over 5 x 100% = 60%

20 over 25 x 100% = 80%

6.5 over 10 x 100% = 65%

38 over 50 x 100% = 76%

Desmond is the correct answer. Continue learning and hope u have a great day/night! :)

What is 8 fewer than the difference of d and 10

Answers

Answer:

subtract 8 from -10

answer: d-18

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

Need help ASAP pls help

Answers

Answer: The correct answers are B, D, and F.

Step-by-step explanation: B is correct because 8 x 5 is 40, and 40-5 is less than or equal to 36. C is correct because if you plug in 41/8, the answer is 36. Anything higher than 41/8 is greater than 36.  F is correct because 5 is a solution and 5 is less than 41/8. Therefore, the correct answers are B, D, and F.

How do I round 31732.441804 to the nearest dollar?

Answers

Answer and Step-by-step explanation:

To round to the nearest dollar, you are essentially rounding to the nearest whole number.

This involves looking at the tenths place.

31732.441804

The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.

Since 4 is not greater than or equal to 5, it makes the number stay 2.

So, we get the answer to be $31732.

#teamtrees #WAP (Water And Plant)

ummm i think it might be the last number after the decimal if it’s over 5 it’s the next number

...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]

Answers

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

Is my answer correct???

Answers

Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)

Answers

Answer:

I think it's correct but tell me if I'm wrong

wouldnt x+x be 2x thanks

Answers

x + x is 2x. x times x is x squared or x^2 (x to the power of 2.)

Answer:

Wym?

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I'll answer it on the comment or are u just playing?

A hotel provides discounts to area attractions for people
attending conventions, hoping this will encourage them to
bring their families. The hotel wants to see if the marketing
campaign was successful.
Which of these methods will produce the most representative sample of the
population of convention participants?
A. The hotel surveys all the convention visitors who eat at their hotel,
B. Surveyors stand outside local attractions and ask arriving guests if
any member of their family is in town for a convention,
C. Surveyors stand beside one of the booths during a convention and
ask the people who visit the booth if they brought their families.
D. The hotelsends an email to a random selection of people who
have been registered as convention participants during the past
six months

Answers

Answer:

I'm not to sure but I think A. or D. I'm so sorry if I'm wrong

The most representative sample of the population of convention participants is:

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful.

B. Surveyors stand outside local attractions and ask arriving guests if

any member of their family is in town for a convention,

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