how do i factorise x^2+6x-40 ?

Answers

Answer 1

9514 1404 393

Answer:

  (x +10)(x -4)

Step-by-step explanation:

Compare the factored and expanded forms:

  (x +p)(x +q) = x^2 +(p+q)x +pq = x^2 +6x -40

That is, the constants in the binomial factors will be factors of -40 that have a sum of 6. This is where your knowledge of multiplication tables is helpful.

  -40 = -1×40 = -2×20 = -4×10 = -5×8

The sums of these factor pairs are 39, 18, 6, 3, respectively. So, the one we want is (-4)(10) = -40. Now that we know the values of 'p' and 'q', we can write the factorization ...

  x^2 +6x -40 = (x -4)(x +10)


Related Questions

For the function N(y)=-3y-7, evaluate N(1)

Answers

Answer:

N(1) = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

N(y) = -3y - 7

N(1) is y = 1

Step 2: Evaluate

Substitute in y [Function]:                                                                               N(1) = -3(1) - 7[Function] Multiply:                                                                                     N(1) = -3 - 7[Function] Subtract:                                                                                         N(1) = -10

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Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y

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Answers

The given expressions and their equivalent expressions are:

x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - y

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.

Let's evaluate and simplify each of the given expressions:

x − 4x + 6y + (14x − 5y)

Open bracket

x - 4x + 6y + 14x - 5y

Combine like terms

11x + y

Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y

3x + 3y + 2(2x − y)

Open bracket

3x + 3y + 4x - 2y

Combine like terms

7x + y

Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.

(5x − 3y) − x + 3x − 5y

5x - 3y - x + 3x - 5y

7x - 8y

Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.

4(x + y) − 3(x + y)

4x + 4y - 3x - 3y

x + y

Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.

5(x + y) + 6(x − y)

5x + 5y + 6x - 6y

11x - y

Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.

Learn more about equivalent expressions on:

https://brainly.com/question/4348710

Answer:

CORRECT

Step-by-step explanation:

A chess club with 80 members is electing a new president. Elsa received 64 votes. What percentage of the club members voted for Elsa?

Answers

Answer:

80%

Step-by-step explanation:

HELP ME FASTTTT PLSSS
what’s the reciprocal of 11/4?

Answers

Answer:

0.02272727272

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Answer:

4/11 is the answer plz mark as brainlliest

[tex]-(x+9)2=64[/tex]

Answers

-(x+9)2=64
(-x-9)2= 64
-2x-18= 64
+18. +18
-2x = 82
/-2. /-2
x= -41

What is the equation for g(x) =

I need help ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

g(x) = math is a buncha bull :)

Step-by-step explanation:

What is the x intercept of the function graphed below?

Answers

Answer:

B (2,0)

Step-by-step explanation:

The line crosses the x axis at 2.

(2,0) It’s the only point where the line crosses the x axis

Kimberly has $120 to spend at the bookstore. Kimberly buys a hardcover book for $36, as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can Kimberly buy

Answers

Answer:

she can buy 5 more

Step-by-step explanation:

5.6 but she can’t buy half a gift card so 5 gift cards is your answer :)

Do integers contain the whole numbers

Answers

integers do not contain whole numbers
All whole numbers are integers, but not all integers are whole numbers

I’ll mark u as brainliest!!! Where could point E be located on the coordinate plane ?

Answers

It is located in quadrant 4 hope this helps

yup if I'm not mistaken it's supposed to be iv

find the measures of the interior angles 49 degrees

Answers

Answer:

x+49+90=180sum of interior angle of triangle

x=180-139=41 is your answer

I think it is C so yup

What does it mean to be a Rigid Motion?
Name 3 Rigid Motions that we discussed in Semester A:​

Answers

Answer:

A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.

Step-by-step explanation:

A Read the statement and write the ratio in colon form.
For a fruit cocktail, I need 35 fruits. I will cut the following fruits
into small pieces: 10 apples, 5 papayas, 5 pineapples and the rest are
cherries.
1. The ratio of apples to papayas is​

Answers

Answer:

.

Step-by-step explanation:

Why is the value of x to the nearest tenth?

Answers

Answer: 9.4

Step-by-step explanation:

find the volume of the cylinder pictured below use 3.14 for pi give your answer rounded to the nearest tenth height 21ft diameter 10ft

Answers

Given:

Height of the cylinder = 21 ft

Dimeter of the cylinder = 10 ft

To find:

The volume of the cylinder.

Solution:

We have,

Dimeter of the cylinder = 10 ft

So, radius is half of diameter, i.e., 5 ft.

Volume of the cylinder is

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height.

Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get

[tex]V=(3.14)(5)^2(21)[/tex]

[tex]V=(3.14)(25)(21)[/tex]

[tex]V=1648.5[/tex]

Therefore, the volume of the cylinder is 1648.5 cubic ft.

Please answer these questions on circumference for BRAINLIEST and extra points if correct!

Answers

Answer:

1 a: 1.46

2 a : .73

3 a : 1.54

____

1 b: 9.42

2 b: 2.9

3 b: 16.96

- I hope that helps :)

Step-by-step explanation:

PLEASE HELPPPPPPPPPP IM RLLY STUCK

Answers

Answer: 28.5cm squared

Answer:

4cm². Hop it helped

Step-by-step explanation:

Bart uses 3/12 cup milk to make muffins. Write a fraction that is equivalent to 3/12 pls help out!

Answers

Answer:

1/4

Step-by-step explanation:

Answer: 1/4

Hope that helps :)

YALL I NEED HELP ASAP !

Answers

Answer:

the answer would be 50 rounded to the nearest ten

Step-by-step explanation:

so sorry if this is not correct °3°

okay thanks for reading :P

The cost c varies directly as the numbers n of pencils is written as A. c = kn B. k+ cn C. n = k/c D. c =k/n

Answers

Answer:

A. c = kn

Step-by-step explanation:

The cost c varies directly as the numbers n of pencils

This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:

[tex]c = kn[/tex]

In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.

A tank that is 40% full contains 640 gallons of water. What it's full capacity?

Answers

Answer:

1,600

Step-by-step explanation:

3(x + y) (2x - 3y) + (x + y)×2 factorize​

Answers

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

You are a farmer who is putting away bales of hay for the winter months. Each bale is 3 feet long, 2 feet wide, and 1.5 feet thick. The bales of hay are stacked in storage bins 12 feet long, 8 feet wide, and 6 feet deep.

What is the minimum number of bins needed for 350 bales of hay?

4
5
6
18
64

Answers

Answer:

36 Bins are needed .

Step-by-step explanation:

3×2×1.5/12×8×6

= 36

What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
DOK 1
28
30
45
37

Answers

The answer is 30
Hope this helps

What is the measure of ZJKL?

Answers

Answer:

the answer is 97 °

Step-by-step explanation:

angles on a straight line add up to 180

so 180 -83 = 97°

2 3/4 + 5 1/2

PLEASE I NEED ANSWER URGENT

Answers

the answer is 8 1/4!!
Answer:
The answer is 8 1/4

Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9

Answers

Answer:

A.) b=2

Step-by-step explanation:

10b ≤ 59

Divide both sides by 10.

b ≤ 5.9

Any number that is 5.9 or less than 5.9 is a solution.

The only such number in the choices is 2.

Answer: A.) b=2

BRAINLIEST ! Find the equation of the line.

Answers

Answer:

y=-3x+7

Step-by-step explanation:

m=gradient=-3

A circle has a central angle of 6 radians that intersects an arc of length 14in

Answers

c=2pir

arclength/circumference=centralangle/2piradians

14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r

well,
um
the answer is B

please help does anyone know this

Answers

You Can Make A Foto In The App And Then the app Solve the problem Then you got your answer

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