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

nice day today (pls answer)
.yes
.no

Answers

Nice day today also Yes ♥︎
yessssssss :3 it’s kinda rainy though

Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)

Answers

Answer:

Given GP:

tₙ = (1/3)ⁿ⁻¹

We see that:

t₁ = 1, r = 1/3

Sum of  n terms:

Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]

2 to the power of 12= 4,096. How many other whole numbers can you raise to a power and get 4,096?

Answers

Answer:

the numbers are 4,8,16,64 and 4096 using laws of indices

Answer:80017

Step-by-step explanation:

80017

Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. How many necklaces can she buy?​

Answers

Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50   Subtract her total money and cost of dress

$10.50-$3.50=$6.00  subtract each necklace price from remaining money

$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0  that was 3 necklaces


PLEASE HELP ME NOW ASAP I HAVE A MIN LEFT

Answers

Answer: B

Step-by-step explanation:

Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number

Answers

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

The mean, or average is a measure of center

Measures of variability describe how the values in a data set vary.

Measures of Center describe all values in a data set with a single number

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The following statements about measures of center and variation are true:

The mean, or average, is a measure of center.

Measures of variability describe how the values in a data set vary.

Measures of center describe all values in a data set with a single number.

The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.

The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability

To learn more about median click :

https://brainly.com/question/28687994

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Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%?

Answers

Answer:

$3.36

Step-by-step explanation:

47.96×7%=$3.357

Answer:

About $3.36

47.96 x 0.07 = 3.3572 rounded up is 3.36

7b^2-63b+140 Factor the polynomial (show your work)

Answers

Answer:

7 (b - 5) (b- 4)

A coach of a baseball team orders hats for the players on his team. Each hat costs .The shipping charge for the entire order is . There is no tax on the order. The total cost of the coach’s order is less than . Which inequality can be used to determine the greatest number of hats, , the coach orders?

Answers

Answer:

9.95h + 5 < 125

Step-by-step explanation:

You left out the numbers to solve the question, but I've already encountered this question before, so yeah.

A cone has a volume of 200.96 cubic centimeters and a height of 12 centimeters. What is its radius? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. r ≈ centimeters

Answers

Answer:

Radius = 4 cm

Step-by-step explanation:

Formula:

r = √[ (3 * v) / (π * h) ]

please send help my way please!!

Answers

Answer:

14

Step-by-step explanation:

Answer:

area = 153.94

circumfrence = 43.98

Step-by-step explanation:

A=πr2=π·72≈153.93804

C=2πr=2·π·7≈43.9823

Omar divided a circular pizza into 8 equal sections. He gave his friend
3 sections. Explain why the amount he gave to his friend can be represented
by a point plotted to the right of 0 on a number line. Then write the
amount he gave to his friend as a decimal.

Answers

Answer:

the amount he gave his friend is a positive fraction, therefore to the right of 0 on the number line. the decimal is 3/8 which = 0.375

6x – 9 = 33 Check


please and thank you ​

Answers

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x

Answers

Answer:

x = 3 is the answer :)

hope this helps

The graph shown is a summary of the number of items sold by two classes for a school fundraiser.

The teachers in each class compared their results side by side and determined that class 1 had more variability than Class 2. Which of the following statements BEST describes the conclusion of the teachers?

A. It is not true because the median for each class is the same

B. It is not true because the maximum is the same for each class

C. It is true because the range of Class 1 is greater than the range of Class 2

D. It is true because the minimum for Class 1 is less than the minimum of Class 2

Answers

Answer:

c.

Step-by-step explanation:

since the range is bigger, it gives more variability when it comes to data plots

Help please...NO LINKS

Answers

I think it’s B if not srry

Un grupo de 4 amigos va al cine y las entradas les han costado 24$.¿cuanto pagaria en total un grupo de 7 amigos por sus entradas?

Answers

hi

4 entries are  24   so one  entry is  24/4 = 6  

so 7 friends pay  6*7 = 42

29 thanks and no links or you get reported

Answers

Answer:

$480.11 (C)

Step-by-step explanation:

$575.26 - $95.15 = $480.11

Please help link= report I’ll give you brainiest if correct worth 7 points

Answers

Answer:

D is the answer.

Step-by-step explanation:

D is basically telling us the y intercept.

A is wrong because the report is about Joyce classmates, not just herself.

B is weo g because it shows the x intercept not y intercept.

C is wrong because her amount of times is undefinable.

16 years 6 months =
months?

Answers

Answer:

198 months

Step-by-step explanation:

12 months in a year times 16 years plus 6 months is 198

A triangle has angle measures of 47 degrees and 92 degrees. What is the measure of the third angle?

Answers

Answer:

The missing angle is 41 degrees

Step-by-step explanation:

First of all, a triangle is measured at 180 degrees in total

To find the missing measurement for the third angle, add the 47 and 92 degrees together which would equal 139 degrees.

47+92=139 degrees

Next just subtract 139 from 180 to get your answer.

180-139=41 degrees

The answer is 41 degrees

Hope this helps

How many solutions does this system of equations have?

y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2

Answers

Answer:

its one solution

Step-by-step explanation:

This system of equations have a unique solution.

What is a system of equation?

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

The system of equations are

y = -1/3x + 7  ------- (1)

y = -2x^3 + 5x^2 + x - 2 ------- (2)

Equation 1 is a linear equation and equation 2 is a polynomial equation.

So graph these two equations to find the solution.

The graph below shows the plotting of these two equations and

solution of these equations.

From the graph, it is clearly seen that this system of equation has only one solution.

Hence we can conclude that this system of equations have a unique solution.

Learn more about system of equations here

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Translate the following words into an ALGEBRAIC EXPRESSION:

The difference of three and twice a number plus one

Answers

Answer:

3-2x+1

Step-by-step explanation:

If we indicate x the generic number we can write this expression

3-2x+1

when a sign of an operation is not expressed it means that the operation is multiplication

2x means 2*x  

HELPP ME PLEASE!!!!
don’t use for points or i’ll report you.

Answers

c = -4 that’s the answer if you didn’t see my comment

elationship between Two Vallables Use the graph to find the relationship between the two variables. Select all that apply. O The two variables are books and months. O The two variables are 4 and 8. O Books is the independent variable, and months is the dependent variable. O Months is the independent variable, and books is the dependent variable. The relationship is y = 4x. The relationship is x = 4y. 8​

Answers

Answer:

A D E <3 your welcome!

Answer:

b c and f :)

Step-by-step explanation:

hope this helps :)

2.

Find the slope of the line.



A. [tex]-\frac{4}{3}[/tex]

B. [tex]\frac{3}{4}[/tex]

C. [tex]-\frac{3}{4}[/tex]

D. [tex]\frac{4}{3}[/tex]

Answers

Answer:

C. -3/4

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

You could identify two points and used the slope formula given two points.

OR

You can just count from one point to another.

First step: Identify two points where the line crosses nicely.

I see one at the y-intercept (0,1) and another at (4,-2). So starting at the y-intercept, how much do we need to travel down to get to (4,-2).  Hopefully you say down 3, so the rise is -3.  Now how much to the right after traveling down 3 from (0,1) to we need to travel to get to (4,-2) .  Count the spaces...4 units right so the run is 4.

The slope is -3/4

For the function g(x) = -3x - 8, find the value of x when g(x) = 10.

Answers

Answer:

-6

Step-by-step explanation:

substitute -6 for x in the equation g(x)=-3x-8

= -3(-6) -8

=18-8

=10

hope this helped!

PLEASE HELP TY OMG TYTYTY

Answers

Answer:

-14x

Step-by-step explanation:

To put in simple terms, this question is asking what -2x+-12x is. To solve this you must add -2 and -12. So... -2+-12=-14. Then add the one "x" at the end.

How many solutions does this equation have?

6b = 3b + 3b

is there a solution

Answers

Answer:

Yes

The answer is 1

Step-by-step explanation:

which equation can be used to solve x in the diagram??

a) 13x - 5x = 180

b) 5x + 13x = 90

c) 5x + 13x = 180

d) 5x = 13x

no links pls!!

Answers

Step-by-step explanation:

C) 5x + 13x = 180°

Because, the angles in the diagram add up to 180° because it's a straight angle

So, the sum of both of them will give 180

So option (C) is right

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