Factor the following quadratic expression n^2+ 4n-12

Answers

Answer 1

Answer:

(n + 6)(n - 2)

Step-by-step explanation:

Given

n² + 4n - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the n- term (+ 4)

The factors are + 6 and - 2 , since

6 × - 2 = - 12 and 6 - 2 = + 4

Then

n² + 4n - 12 = (n + 6)(n - 2) ← in factored form


Related Questions

what’s the comparison to 3/25 and 22/25

Answers

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.

Answers

yes 8 and 12 are proportional

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

Answers

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]Arrangements = 5040\ ways[/tex]

2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7

b) 0 ,9, 8, 7 ,6, 4

Answers

Answer:

1)765432

Nearest ten: 765430

Nearest hundred: 765400

Nearest thousand: 765000

2) 987640

Nearest ten: 987640

Nearest hundred: 987600

Nearest thousand: 988000

Not sure if this is what you want.

i need help please this is quite hard for me

Answers

Use photomath because it is very helpful bro

thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Answers

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15

Answers

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Consider the function f(x) =2x-6 find f(2)

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

f ( x ) = 2x - 6

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

value of f ( 2 )

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Help me please I don’t know this stuff

Answers

answer: 24 because jeff earned $600 and for jason to earn the same amount 24*25 hours = 600

The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.

Answers

1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.

The person with that spam is rude and wasted your time, sorry for that.

The solution is Option D.

The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the square A be = S

Let the triangle be represented as ΔABC

The base of the triangle BC = 5 units

The height of the triangle AB = 3 units

So , the hypotenuse of the triangle AC = Side of the square A

And , from the Pythagoras theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34 units²

AC² = Area of the square A with side AC

Therefore , the value of S is 34 units²

Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

3) Write an explicit
formula for the
sequence:
45, 41, 37, 33

Answers

Answer and Step-by-step explanation:

f(n) = 45 - 4(n - 1)

This is the explicit formula for the sequence.

45 is the initial amount, which is why it is by itself.

The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.

#teamtrees #PAW (Plant And Water)

reflect the triangle in the mirror line

Answers

Answer:

correct me if im wrong bb

how many times can 82 go into 401

Answers

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

Find the value of a in the diagram below:
20
40°
200°

Answers

50

angles in triangle =180
180-40=140
the other angle is a right angle so 90°
140-90=50

Help me with this! Will give brainlist!!

Answers

Answer:

answer is C i think

Step-by-step explanation:

Answer:

18.85 B

Step-by-step explanation:

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Can anyone answer this?​

Answers

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

What is the GCF for 4x^2yz^3 and 12xz^2

Answers

Answer:

The great common factor is:

x(2z)²

Steps:

given:

4x²yz³12xz²

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

---------------------------------

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

5[5y -6] = 4[y -7]
solve the equation by balancing the equation

Answers

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?

Answers

Answer:  -6

Step-by-step explanation:

If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.

Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?

Answers

Answer:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divideStep-by-step explanation:

Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3

Answers

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm

Answers

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth

2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius

Answers

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

Simplify fully125y2/10xy​

Answers

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?

A.38
B.40
C.49
D.89

Answers

The answer is 40

91+49=140
180-140=40

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

what is the value of a and b

Answers

hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.

please help


will mark brainlist

Answers

ANSWER:

J:

(5,-10)

K:

(15,-6)

L:

(15,-15)

What unlisted said is true
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