Factorise this expression as fully as possible
2x2 + 6x

Answers

Answer 1

Answer:

The factored expression is: [tex]2x(x + 3)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]2x^2 + 6x[/tex]

To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:

Numeric:

GCF between 2 and 6 is 2, because:

2 - 6| 2

1 - 3|

1 and 3 are not divisible by the same number, so 2.

Coefficient:

Between x² and x, x.

Factorizing:

Simplifying by 2x.

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

The factored expression is: [tex]2x(x + 3)[/tex]


Related Questions

An airplane is flying at a constant speed, described by the equation d=575t, where d represents the distance, in miles, that the airplane travels at this speed in t hours.

What does the 575 tell us in this situation?
How many miles does the airplane travel in 2 hours?

Answers

Answer:

nope

Step-by-step explanation:

Answer:

1150 distance traveled in 2 miles

Step-by-step explanation:

575+575 for 2 miles

1150 distance traveled

What is the sum of 2/11’ 2/7’ and 1/11’?

Answers

Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

43/77

Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841

what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)

Answers

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

3х + 5 + 2х
Simplifying variable expressions

Answers

Answer:

3

х

+

5

+

2

х

5

х

+

5

Solution

5

х

+

5

Step-by-step explanation:

Use the graph to solve the following:
When f(x)=5

Answers

9514 1404 393

Answer:

  x = -3 or 0

Step-by-step explanation:

Locate the horizontal line y = 5. Identify the x-values where the graph crosses that line. They are x = -3  and  x = 0.

Help pls thank u 48 points

Answers

X = -160/7. Ncksmsnx

Answer:  x = -160/7

You're welcome!!!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

I think it’s an equilateral triangle meaning all sides are the same so:

2x+2x+2x= 180 (that’s how much a triangle is)
6x=180 divide both sides by 6
x= 30

each side is 60 degrees

What’s the answer pls

Answers

37.1
35 * .06 = 2.1
35 + 2.1 = 37.1

American Sign Language


In general, Deaf culture is more open about honestly expressing emotion than other cultures.


a. True


b. False

Answers

Answer:

false ignore this I needed to write something else to hand it in

ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!

Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?

A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82

Answers

Answer:

C

Step-by-step explanation:

Hope it helps!!

What is the equation of the line that contains point (6, 4) and is parallel to line m?

A) y=-2x+16
B)y=2x-8
C)y=-1/2x+7
D)y=1/2x+1


PLEASE HELPPP !!

Answers

Answer:

d?.............................

10, 7, 4, 1, -2 common ratio

Answers

Answer:

Step-by-step explanation:

common ratio is -3

10-3=7

7-3=4

4-3=1

etc

Answer:

-3

Step-by-step explanation:

common ratio=a2-a1=7-10=-3

Please help me. I have no idea what to do!!

Answers

Answer:

It's the first option.

Step-by-step explanation:

It is turned down so the one half is negative (-1/2)

parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have

-1/2(x-15)^2 + 25. first one.

Hope this helps!

If the nth term of a number sequence is 3n²
find the first 3 terms and the 10th term.​

Answers

Answer:

Step-by-step explanation:

3(1)^2 = 3

3(2)^2 = 12

3(3)^2 = 27

3(10)^2 = 300

factor the expression using gcf 69 + 84

Answers

Answer:23/28

Step-by-step explanation:

69 + 84 = 23/28

if you divide it by 3

Look at the linear equation graphed below. If x=12, what value of y is a solution to this equation?
A)1
B)2
C)27
D)18

Answers

Answer:

B) 2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

What is the measure of 2X?
х
1240
Select the best answer from the choices provided.
A.56
B.66
C.114
D.124

Answers

D. 124. Both sides seem equal to me

8 units to the left of five

Answers

it would be -3. have a good day

roman spent $24 of the $30 in his wallet. What percent represents the fraction of $30 james spent

Answers

It is 80%, because there is 6 dollars left, if that were a percentage it’d be 20%

On Saturday moming, Owen earned $27. By the end of the afternoon he
had earned a total of $60. Enter
an equation, using x as your variable, to determine whether Owen earned $33 or $37 on Saturday
afternoon.

Answers

27+x=60
-27 -27
x=33

Owen earned $33

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
One Solution
Infinitely Many Solutions
No Solution

Answers

Answer:

[tex]\large\boxed{\text{One solution.}}[/tex]

14x - 9 + 8x + 3 = 9x - 8 - 3x - 14

Combine like terms:

14x + 8x - 9 + 3 = 9x - 3x - 8 - 14

22x - 6 = 6x - 22

Subtract 6x from both sides:

22x - 6x - 6 = 6x - 6x - 22

16x - 6 = -22

Add 6 to both sides:

16x - 6 + 6 = -22 + 6

16x = -16

Divide both sides by 16:

16x/16 = -16/16

x = -1. There is only one solution to this equation.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

14x-9+8x+3=9x-8-3x-14  Equation/Question

Step 2

14x-9+8x+3=9x-8-3x-14  Simplify

22x-6=6x-22

Step 3

22x-6=6x-22  Subtract 6x from the sides

16x-6=-22

Step 4

16x-6=-22 Subtract -6

16x=-16

Step 5

16x=-16  Divide both sides by 16

-1

Answer

x=-1

One Solution

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

Determine the relationship between the two triangles and whether or not they can be proven to be congruent

Answers

Answer:

The two triangles are related by AAS, so the triangles are congruent.

Step-by-step explanation:

Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.

At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance

Answers

Answer:

10%

Step-by-step explanation:

According to the scenario, given data are as follows:

Students over age 21 = 30

Students under age 21 = 20

Choose student over age 21 = 3

Choose student under age 21 = 2

So, we can calculate chances by using following method,

Chances of student over age 21 = Number of choose student ÷ Total students

= 3 ÷ 30  = 0.10 = 10%

Similarly, Chances of student under age 21 = Number of choose student ÷ Total students

= 2 ÷ 20  = 0.10 = 10%

Hence, in both condition, chances are 10%.

Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?

Answers

Answer:

.84

Step-by-step explanation:

21/25 = .84

Leila and Jo are two partners in a business. Leila makes $2 in profits for every $3 that Jo makes. If Jo makes $18 profit on the first item they sell, how much profit does Leila make?

Answers

Answer:

I think the answer is 12

Step-by-step explanation:

Because Jo made $3 6 times so you multiply that by what Lelia makes. So 2 x 6 = 12?

HELP!!

Construct the graph of the direct proportion y=kx for k= -1

Answers

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B

Answers

Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side

Answers

Answer:

-2(15)²+100(15) = -450+1500 = 950 ft²

Step-by-step explanation:

(she has enough fence for this) I hope it's help you

if 10 milligrams are contained in 2 milliters, how many milligrams are contained in 28 milliliters​

Answers

Answer:

140

Step-by-step explanation:

If there is 10 milligrams for 2 milliliters that means, for ever 1 milliliter there is 5 milligrams. So all we have to do is multiply amount of milliliters by 5. So 28x5=140

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