Brian needs to find the value of a number, a, so that when (x^2+3x) is added to the binomial (3x^2+ax), the sum simplifies to 4x^2+12x. What is the value of a?

Answers

Answer 1

Answer:

a = 9

Step-by-step explanation:

First we need to add  (x^2+3x)  to (3x^2+ax),

(x^2+3x)+(3x^2+ax)

Expand

= x^2+3x+3x^2+ax

Collect the like terms

= x^2+3x^2+3x+ax

= 4x^2 + 3x + ax

= 4x^2+(3+a)x

Equate the solution to 4x^2+12x

4x^2+(3+a)x = 4x^2+12x

Comparing the like terms on both sides

(3+a)x =12x

3 + a = 12

a = 12 - 3

a = 9

Hence the value of a is 9


Related Questions

Given an = 3n-5, what is the common difference?

Answers

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.

whats the measure of angle E ?

Answers

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

The length of a rectangle is 1 meter less than twice its width. The perimeter of the rectangle is 40 meters. What are the dimensions of the rectangle?

Answers

So 1 is blank and two is 40 so DO IT URSELF STOP BEING LAZYYY

What is the greatest common factor of 12a and 9a2?

9
36
3a
12a2

Answers

Answer:

3a

Step-by-step explanation:

the common factors are what make up the terms. 12a is divisible by 3a

9a^2 is divisible by 3a

12a/3a = 4

9a^2/3a

(9a × 9a) / 3a = (9a × 3)

The greatest factor of both 12a and 9a² is; C: 3a

What is the Greatest Common Factor?

We want to find the greatest common factor of 12a and 9a². Now, let us first list the factors of both expressions;

Factors of  12a are; a, 1, 2, 3, 4, 6, 12, 1a, 2a, 3a, 4a, 6a, 12a

Factors of  9a² are; 1, 3, 9, 1a, 3a, 9a

The greatest factor that is common to both 12a and 9a² is 3a

Read more about Greatest common factor at; https://brainly.com/question/219464

1/6-9/8 as a fraction in simplest form

Answers

Hopes this helps:

Answer: -23/24

You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %

Answers

Answer:

75%

Step-by-step explanation:

You pick a card at random. 6 7 8 9 What is P(not 9)? Write your answer as a percentage. %

Given the following

Total cards = 4 (6,7,8,9)

If the card is not 9, the required card will be (6,7,8)

Number of cards that are not 9 is 3

Probability = expected/total

Pr(not 9) = 3/4

express as percent

Pr(not 9) = 3/4×100

Pr(not 9) = 75%

Answer:

50%

Step-by-step explanation:

There are 4 cards, numbered 6, 7, 8, and 9. The numbers greater than 7 are 8 and 9. There are 2 numbers greater than 7.

P(greater than 7)  =  

2

4

Write your answer as a decimal. Then convert your answer to a percentage.

2

4

 =  0.5  =  50%

P(greater than 7) = 50%

Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all

Answers

Answer:

47 liter 14+14+23

Step-by-step explanation:

14+14+23=47

Answer:

the awnsers 51

Step-by-step explanation:

you do (14x2)=28+23=51

1) a) What are perpendicular lines and parallel lines

Answers

Perpendicular lines are lines that intersect and parallel line are lines that are parallel to each-other and never intersect

Answer:

the property of being perpendicular is the relationship between two lines which meet at a right angle.

parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

Easy question and answer 15 points uh huh uh huh!!!

Answers

Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.

Step-by-step explanation:

They aren’t equivalent because when they’re both in different orders. You get a different answer when you divide them the opposite way.

PLSSSS HELPPPP 30 POINTSSSS

Jaylon spent $27.60 of the $80 he got for his birthday. What percent of his money did spends

Answers

Answer:

35.4%

Step-by-step explanation:

(100/80) x 27.6

basically 1 of 80 is 1.25 and multiply 1.25 times the money jaylon spent sorry i am really bad at explaining only good at solving

Answer:

34.5%

Step-by-step explanation:

to find the percent of money that was spent, you turn it into a fraction-

27.60/80

=0.345

then to get the percent you multiply-

0.345*100

=34.5%

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Given that 3x : 8 = 9 :2 , find the value of x .

Answers

Answer:

i hope you understand this answer

[tex]3x : 8 = 9 : 2[/tex]

[tex] \frac{3x}{8} = \frac{9}{2} [/tex]

[tex]3x × 2 = 8 × 9[/tex]

[tex]3x = \frac{8 \times 9}{2} [/tex]

[tex]3x = 4 \times 9[/tex]

[tex]x = \frac{4 \times 9}{3} [/tex]

[tex]x = 4 \times 3[/tex]

[tex]x = 12[/tex]

can any on help me plz

Answers

Answer:

C

Step-by-step explanation:

Answer:

x-0.25 is the answer for the above expression

What is a correct name for the angle shown? R S T O LE O ZS O LEITE O LEFT​

Answers

Answer:

RTS.

Step-by-step explanation:

This is an obtuse angle.

5. Write two fractions that are equivalent to
10. Describe how you can show they are
equivalent.

Answers

Answer:

equivilent to what?

Step-by-step explanation:

Express y in terms of x

Answers

Answer:

y = 3x

Step-by-step explanation:

to get y we multiply x by 3 so we have that y = 3x.

The correct answer is y = 3x! :)

Explanation:
Plug in for each variable.
(2, 6): 6 = 3(2) TRUE
(4, 12): 12 = 3(4) TRUE
(6, 18): 18 = 3(6) TRUE

(Also, I would love to get brainliest!)

Triangle ABC has vertices with coordinates -1,-1 , 4,0 and 0,4 Prove that ABC is an isosceles triangle but not a right triangle.

Answers

can you take a picture of it

Lol can someone write me a haiku, it’s a poem with 3 lines. The first line needs 5 syllables the second 7 and the last 5 again. Wrote about anything pls LOLLL

Answers

Answer:

The flowers wither

Bean etch the weight of the sun

Yet the weeds stand proud

Hope you like it, Its weird I find Haikus cringed but Have a good day! =)

smell of salt water

as waves break over the bow

Bright yellow happy!

Hope this helps!

what is the value of x in this equation??
50+30x=250+10x

Answers

Answer:

x = 10

Step-by-step explanation:

What is the measurement of Angle x?

Answers

Answer:

A. 95 degrees

Step-by-step explanation:

Both angles should add up to 180

85+_95_=180

I will mark Brainliest just help meee

Answers

Answer:

h

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Function G

in the formula

y=mx+b

B is also a way to find the y intercept

in function G the y-intercept is 6

and in the graph the y-intercept is 4

6 is greater than 4 so

Function G is larger


What is the median and the modes?

Answers

Answer:

La mediana es el valor medio cuando un conjunto de datos se ordena de menor a mayor. La moda es el número que se presenta con más frecuencia en un conjunto de datos.

Step-by-step explanati_:espero

ayudar:)

A graph of a system of two equations is shown.
What is the solution of the system? HELP!!!!!

Answers

Answer:

can you just mark me brainleyest.

Step-by-step explanation:

A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.

Answers

Answer:

70!km is the right answer

Step-by-step explanation:

The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.

A cylindrical water towers has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the gallon contain?

Answers

Answer:

233445.54 gallons

Step-by-step explanation:

Given data

Diameter= 15m

Radius= 7.5m

Height= 5m

Let us first find the volume

the volume of a cylinder is given as

V= πr^2h

substitute

V= 3.142*7.5^2*5

V= 3.142*56.25*5

V=883.6875 m^3

Hence the volume in gallons is

233445.54 gallons  (from conversion tables)

An adult ticket to the school play cost $14.75. A child ticket cost $5.25. Mr. Montes bought 2 adult tickets and 4 child tickets.

Answers

Answer:

$50.50

Step-by-step explanation:

From the above question, we are to find the total cost of the tickets Mr Montes bought

An adult ticket to the school play cost $14.75.

A child ticket cost $5.25.

Mr. Montes bought 2 adult tickets and 4 child tickets.

Hence, the total cost is

= 2 × $14.75 + 4 × 5.25

= $29.5 + $21

= $50.50

Ella (E) is 4 years older than her friend Ava (A) who is 3 years younger than her sister
Sofia (S). If E, A and S denote their ages, which one of the following represents the given
information?

Answers

The answer is D E=A+4 and A=S-3

How would the equation

Answers

Answer:

what

Step-by-step explanation:

Nickoy brought some shirts. He paid $12 for each shirt. This can be modeled by the expression 12x. What does x represent

Answers

Answer:

x represents the number of shirts purchased

Step-by-step explanation:

Each time Nick buys a shirt, he has an outlay of $12.  One shirt for $12, two shirts for $24, and so on.  So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.

Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?

Answers

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

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