determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square

Answers

Answer 1

Step-by-step explanation:

(Ax² + Bx + C)²

= (Ax² + Bx + C)(Ax² + Bx + C)

= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².

By Comparing Coefficients, we have:

A = 1

2AB = 6

2AC = 7

2BC = a

C² = b

Solving them we get A = 1, B = 3 and C = 3.5.

Therefore a = 2BC = 2(3)(3.5) = 21,

b = C² = (3.5)² = 12.25.


Related Questions


what should be added
2x ^3+ 3x^2+8x-4
to get 0 ? ​

Answers

Answer:

-2x^3 - 3x^2 -8x + 4 should be added

Step-by-step explanation:

Here, we want to know what should be added to the expression to get 0

What we should do in this case is to simply negate the values we have in the expression already

Adding the negated values will give 0

So, we have that;

-2x^3 - 3x^2 -8x + 4

Solve x^2 + 2x + 5 = 0

Answers

Answer:

x = -1 + 2i

Hope this helps:)

I think that is your answer

At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?

For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true

Answers

Answer:

all answers are true I think

Plz complete❤️Plz urgently plz

Answers

Answer:

.5

Step-by-step explanation:

If the original price was $58 and the new price is $66 what is the percent change

Answers

i believe the answer is 65%. i'm not sure

Solve the equation

9x^2 - 64= 0

9x^2 + 64= 0

Answers

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

help me ill mark u brainliest xd

Answers

20 x 42= 840
So the area would be 840 mm^2.
the area would be 840 because you multiply 42 and 20 .

Will mark Brainliest!!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?

Answers

Answer:

6 and 10

Step-by-step explanation:

Let a = the first number(3/5 of the second number namely b)

Let b = the number that is 5/3 of a

a=3/5 b

Assuming they are both positive integers, obviously you will have to add 4 to a.

4+a = b

4 + 3/5 b = b

2/5 b = 4

b = 10

a=6

ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS

Find the decimal that is equivalent to:
7/12
OA) 1.714
OB) 0.583
C) 0.0583
OD) 0.583

Answers

Answer:

B

Step-by-step explanation:

It ain't no step to dat

BRAINLEYEST! POINTS AND 5 STARS! TO RIGHT ANSWER! you have to order the boxes to where there soppost to be just order it with the numbers i put


exp:
1
3
4
6
5
2

Answers

Answer:

It would be

6

4

1

5

3

2

Step-by-step explanation:

The first one would equal 7

The second one would equal 10

the third one would equal 9

The fourth one would equal 6

The fifth would equal 8

ANd the sixth would equal 3

Order / Least To Greatest:  2, 6, 4, 1, 3, 5

Step-by-step explanation:

If one of the zeroes of the cubic polynomial p(x)=ax³+bx²+cx+d is zero then find the product of other two zeroes of p(x).​

Answers

Answer:

As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.

Since x is a factor , d= 0

ax^3+bx^2+cx+d = ax^3+bx^2+cx

= x(ax^2+bx+c)

Other two roots are roots of

ax^2+bx+c = 0

For a quadratic equation ax^2+bx+c = 0

Product of roots = c/a

Sum of roots = -b/a

So

Product of other two roots = c/a

Hope this helps :D

GEOMETRY- The coordinate grid below shows triangle ABC and its image after the translation, triangle A’B’C’:

Answers

Answer:

y-8

Step-by-step explanation:

count from point b to b'

Answer: y - 8

Step-by-step explanation:

Point A prime is 8 units below Point A, as goes for each of the other corresponding point pairs. (B and B prime, C and C prime)

HELP PLEASE AND THANK YOU

Answers

Answer:

C.) -3/2

Step-by-step explanation:

To find the slope you need to use the formula: m = y2 - y1/x2 - x1

Point: (-2,1) and (2,-5)

m = y2 - y1/x2 - x1

m = -5 - 1/2 - (-2)

m = -6/2 + 2

m = -6/4

m = -3/2

A student received scores of 86, 76, and 90 on three quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?

Answers

Answer:

its 70 its a trick question

Step-by-step explanation:

What is 12x³ – 9x² – 4x + 3 in factored form? hurry...

Answers

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Right answer will get brainlist

Answers

Answer:

x = -3

Step-by-step explanation:

System of equations has been given as,

y = 2x + 8

y = [tex]-\frac{2}{3}x[/tex]

Since, solution of the system of equations is the point of intersection on the graph.

Therefore, point of intersection or solution of the system will be,

(x, y) = (-3, 2)

This common point will satisfy both the equations.

And x = -3 will also both the equations.  

Would you need circumference or area to find the amount of oil it takes to cover the bottom of a frying pan?

Answers

Answer:

circumference

Step-by-step explanation:

Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answers

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]

[tex]Sin (53^0) = \dfrac{4}{x}[/tex]

Making x the subject of the formula:

[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]

[tex]x = \dfrac{4}{0.7986}[/tex]

[tex]x \simeq 5[/tex]

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]

[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]

where; x = 5

[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

y = 2x – 4
y = -x + 5

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Substitute in y:                    2x - 4 = -x + 5Add x to both sides:           3x - 4 = 5Add 4 to both sides:           3x = 9Isolate x:                              x = 3

Step 3: Solve for y

Define equation:                    y = -x + 5Substitute in x:                       y = -3 + 5Add:                                        y = 2

pls help meh...... with the question.....pls it's urgent ...........​

Answers

Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

b
-
27 =43

I would really appreciate your help

Answers

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

-(4x - 7) + 1 = 2 (5 - 2x) solve for x

Answers

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.

Answers

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

What is the slope of the line shown on the graph?




Answers

1/3 because the slope triangle goes over three and up one and it is rise over run.

Answer:

1/3

Step-by-step explanation:

rise over run- the line goes up one and over three everytime it perfectly intersects a sport on the graph

a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers ​

Answers

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18

6th grade math i mark as brainliest​

Answers

just add you the numbers and you will get the answer

How to i do this help me with this pls

Answers

Answer:

21.98

Step-by-step explanation:

22.98 hope this helps and good luck!!

25 points! pls show work if can!!!!!!!!

Answers

Answer:

A.2.4 pounds

B.7 oranges

Step-by-step explanation:

Write the equation of the graphs which have m=2, c = 1

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

formula for equation of graph:

[tex]y = mx + c[/tex]

substitute m = 2 and c = 1 into the equation

[tex]y = 2x + 1[/tex]

Step-by-step explanation:

please see it my step work solution

Solve for s.

72=27+9s

How do you solve for s?

Answers

Answer:

s=5

Step-by-step explanation:

Answer:

S = 5

Step-by-step explanation:

Subtract 27 from both sides

45 = 9s

divide by 9

s = 5

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