1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
3 years ago
14

Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12 a + 2b - d = ?

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

You might be interested in
Which figure best represents a kite?
suter [353]

Answer:

4th one: A kite is the answer.

4 0
3 years ago
SIR MELIODAS <br><br><br> CAPTION <br><br><br> MEL|ODAS
dalvyx [7]

Answer:

great

Step-by-step explanation:

5 0
3 years ago
Based on its degree, what kind of polynomial is this <br><br> h(x)= -6x^3+2x-5
Lelechka [254]

Answer:

cubic polynomial

Step-by-step explanation:

Given polynomial is \[h(x)=-6x^{3}+2x-5\]

A polynomial of degree 1 is a linear polynomial.

A polynomial of degree 2 is a quadratic polynomial.

A polynomial of degree 3 is a cubic polynomial.

In this case the exponent with the maximum value in the polynomial is 3.

Hence the degree of the polynomial h(x) is 3.

Hence the given polynomial is a cubic polynomial.

7 0
3 years ago
Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.
Rasek [7]

Hi there!

Let's start by replacing "a number" by the letter "x" so that we can do an equation and isolate "x" to find your answer :

(x - \frac{3}{4}) + \frac{5}{4} = -7

subtract \frac{5}{4} on each side of the equation


x - \frac{3}{4} = -8.25

add \frac{3}{4} on each side of the equation

x = -7.5


-7.5 - 3/4 = -8.25

-8.25 + 5/4 = <u>-7</u>


So your answer is : Three-fourths was subtracted from -7.5, and then 5/4 was added to the result. The sum was -7.


There you go! I really hope this helped, if there's anything just let me know! :)



7 0
3 years ago
A farmer has 4 horses, 3 pigs and 7 cows.Whatis the probability of randomly selection a pig?
shutvik [7]

Answer:

3/14 or 21.428571428571%

Step-by-step explanation:

First you should add all of the animals together.

3 + 4 + 7 = 14

3 out of 14 animals are pigs.

5 0
4 years ago
Read 2 more answers
Other questions:
  • Help please ASAP!!!!
    6·1 answer
  • What measurement is equal to 6 kilometers
    14·1 answer
  • From a sample with nequals=1616​, the mean number of televisions per household is 22 with a standard deviation of 11 television.
    14·1 answer
  • Ok second time putting this up. CAN SOMEONE HELP?!
    9·1 answer
  • PLEASE HELP!!! DESPERATE!!!<br> MATHS!!!<br> WILL AWARD BRAINLIEST!!!
    13·1 answer
  • Draw a diagram that shows how the expression can represent the area of a figure 8(3x-1)
    15·1 answer
  • Find an equation of the line passing through the points<br> (–3, –5) and (6, –2).
    5·2 answers
  • The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x- 8). What
    8·1 answer
  • Given f(x) = 10x.
    11·1 answer
  • What is the mean absolute deviation of 3 3 1 9 3 1 8
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!