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

A 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.

Answers

Answer:

3 inch    6 inch  16 inch             3+6+16 = 25

Step-by-step explanation:

First piesce = F

Second piece = 2F

third piece = 5F+1

F + (2F) + (5F+1) = 25

8F +1 = 25

subtract 1 om both sides

8F = 24

divide both sides by 8

F= 3

3X2= 6

3X5 +1 = 16

A line is perpendicular to y = 3x - 8
and intersects the point (6, 1).
What is the slope of this
perpendicular line?
A. 3
B. 1/3
C. -3
D. -1/3

Answers

Answer:

D) -1/3

Step-by-step explanation:

Perpendicular slope (m) = -1/3

Perpendicular slopes are negative recipricals so:

3 ---> -1/3

please help with this question. ​

Answers

Answer:

5 feet, 3 inches

Step-by-step explanation:

set up a proportion based on corresponding sides, then solve by cross-multiplying:

h/7 = 3/4

4h = 21

h = 21/4

h = 5 1/4 which is 5 feet, 3 inches

please help 15 pointssssss

Which one is it

Answers

Answer:

D

Step-by-step explanation:

x = 8

5×8=40

40-6=34

34+57+89=180

angles of a triangle is equal to 180 degrees

Hope this helps

Kind Regards

Farah Syed


(a) Calculate 8% of £3.25.

Answers

Answer:

8÷100×3.25

=£0.26

hope it is helpful to you

Step-by-step explanation:

8÷100×3.25

=0.26

espero ter te ajudado

15 POINTS! DUE SOON!
Write the series using summation notation.
7 + 10 + 13 + 16 + 19

Answers

Answer to your question is 52

Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen​?

Answers

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7 cards and 4 queen cards so,

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

Please help! If you do you will get 'Brainliest'

Answers

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

Stephany is inviting 3 friends to a party. If each friend will get 7 cookies and each box has 10 cookies, how many boxes does Stephany need to get?

Answers

Answer:

3 boxex hope that helps. yea. thats the answer

On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct answer and loses ¼ point for an incorrect answer. If the student has no idea of the correct answer for a particular question and merely guesses, what is the student's expected gain or loss on the question? Suppose you were using an

Answers

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

Can anyone help me please

Answers

Answer:

noqijauaajajajajabbaababbaa

In a film showing by the dramatic club, a ticket costs 50 pesos for members. What will be expression for non members if the ticket costs 5 pesos more than the members? Algebra.

Answers

Answer:

Expression represents this situation is 50+5 pesos.

Step-by-step explanation:

A ticket costs 50 pesos for a member of a club.

Non club member ticket cost is 5 pesos more than the member.

So, expression represents this is 50+5 pesos

Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell like bananas. What fraction of Ivan's sticker collection smells like bananas? *

Answers

Answer:

1 / 10

Step-by-step explanation:

From the question :

Fraction of scratch and sniff sticker from total stickers = 2/5

1/4 of scratch and sniff stickers smell like banana :

Fraction of total stickers that smell like banana :

(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)

= (2/5) * (1/4)

= 2 /20

= 1/10

If 3g-5=37. find g?
i need this

Answers

Answer:

g = 14

Step-by-step explanation:

Using g = 14 we can do 14 x 3 to get 42. Then we can subtract 42 by 5 to get 37.

Answer:

g = 14

Step-by-step explanation:

3g - 5 = 37

    +5    +5

3g = 42

3g/3 = 42/3

g = 14

Hi, could someone quickly please help me?

1. The location of two hikers is marked on the topographic map to the right as points F and H. What is the elevation of the camper at point F?

2. Each hiker climbed to point G along the path indicated by the arrow. What was the change in elevation for the hiker that took the steepest path point G?​

Answers

Answer:

740 m

Step-by-step explanation:

Answer:

2. elevation above sea level Contour lines run next to each other.

Which of the expressions below is equivalent to 4x^2 / 12x^2-4??[tex]: 4x^2/ 12x^2 - 4[/tex]

Answers

Answer:

b

Step-by-step explanation:

Which of the following is most likely the next step in the series?
000
O A.
B.
O c.
D.

Answers

The next step in the series is D

The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.

Answers

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

Can some show the steps and the answer please I really need help tell me how you get it and the answer

Answers

Answer:

10

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=C^2

the square root of 100=c (the length of that side of the ladder).

the square root of 100 is 10

what is the vertex of f(x)=x^2-9x+14

Answers


Its going to be a lot of steps

Step one

To complete the square, the same value needs to be added to both sides

f(x)+?=x^2 -9x+?+14

Step two

To complete the square add to the expression

x^2 -9 + 81/4= ( x- 9/2 ) ^2 add 81/4
To the expression


f(x)+?=x^2 -9+ 81/4 + 14

Step three

Since 81/4 was added to the right-hand side, also add 81/4 to the left-hand side

f(x)+81/4=x^2 -9x+81/4+14

Step four

Use a^2-2ab +b^2 = ( a-b)^2 to factor the expression

f(x)+81/4=(x-9/2)^2+14

Step five

Move the constant to the right-hand side and change its sign

f(x)=(x-9/2)^2 + 14- 81/4

Last step

Calculate the difference

F(x)=(x-9/2)^2 -25/4


That was to long
Karl:D

two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at 40 miles per hr. How many seconds after the front parts of the trains will meet their rear parts pass each other.​

Answers

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

3.5(10n + 2n - 9) = 178.5

Answers

Answer:

n= 5

Step-by-step explanation:

3.5 (10n + 2n-9) = 178.5

Divide 3.5 on both sides

10n + 2n -9 +51

Add like terms to get 12n

12n - 9 = 51

12n = 51 + 9

Add 51 and 9 to get 60

12n + 60

Divide 60 by 12 to get 5

n=5

What is the constant change for the table ?

Answers

Answer:

$9 per 1 item

Step-by-step explanation:

Answer:

$9 per 1 item

Step-by-step explanation:

A pop quiz has 4 multiple choice problems, all with 3 possible answers (A, B, or C,). You need to get at least 4 correct to pass. If you are completely unprepared and have to guess on every question, what is the probability that you will pass the quiz?

Answers

Answer:

The probability is 1/4, for me if I need to guess all blankly.

But if I am unprepared but if I use my brain it can be 3/4

Sooo, hope it helps!!!

Please help me. No links are allowed. This is really urgent find the volume of the irregular figure.

Answers

240 cm squared

Explanation: split it into two figures, 6x7x4 and 2x4x9 and then add them. It’s a lot easier

Which of these numbers is irrational?


Help plz due now will give brainliest

Answers

Answer:

√12 is irrational

Step-by-step explanation:

Find the area of the parallelogram.
15 cm
8 cm
[ ? ] square centimeters
Enter

Answers

Answer:

[tex]A = 120 \ cm^2[/tex]

Step-by-step explanation:

The formula to find the area of a parallelogram is the following,

[tex]A=(base)*(height)[/tex]

Substitute in the given values and solve,

[tex]A=(15)*(8)\\\\A = 120[/tex]

quick help plzz!!!!!!!

Answers

It is B I’m pretty sure

The value of -4 5/8 - x is positive. What are two possible values of x?

Answers

Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

The  possible values of x could be x = -20 or  x = -10 that satisfy the inequality.

Given: -4 5/8 - x > 0

To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.

First, let's convert -4 5/8 to an improper fraction.

The improper fraction equivalent of -4 5/8 is -37/8.

So, -37/8 - x > 0

To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:

x < -37/8

Now, Two possible values of x could be:

x = -20 or  x = -10

Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?

Answers

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480

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