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

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

Evaluate -3(c + d)
for c= -2 and d = 1

Answers

Answer:

3

Step-by-step explanation:

The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3

I need the measure of

Answers

Answer:

measure of WZV angle is 50°

HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Find the value of x please

Answers

Step-by-step explanation:

In isoceles triangle two sides are equal and two angles are equal.

Then,

∠R = ∠T = (5x-40)°

Then,

∠RTS + ∠STU = 180° (bcoz it lies on a straight line)

(5x-40) ° + 5x = 180°

10x = 220°

x = 22°

Therefore,

Option A is correct✔

it should be option A because it makes a lot of sense so your answer is correct

Can somebody help me solve this equation?

Answers

Join the yarichin supremacy

A price of a hoverboard was marked down from $220 to $132. By what percent was the price of the hoverboard reduced?
A) 40%
B) 88%
C) 36%
D) 33.3%

Answers

Answer:

B)88%

Explanation:
$220 - 88 = 132 ig because ive tried all of the percentages and multiplied them in decimal form and none of then gave me the answer till i just started subtracting instead.

220÷132=36 so the answer is c

Complete the proof!!!

Answers

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                                      Reason

1. ∠1 and ∠2 are supplementary [tex]{}[/tex]       Given

∠1 and ∠3 are supplementary [tex]{}[/tex]      

2. m∠1 + m∠2 = 180°     [tex]{}[/tex]                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]     Transitive Property

4. (3) m∠2 = m∠3     [tex]{}[/tex]                            Subtraction property of equality

5. ∠2 ≅ ∠3     [tex]{}[/tex]                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

Add a computer manufacturing company, they produce two different types of computers. They can make 70 laptops per day while making 55 desktop per day. The company has a total of 14 machines to make computers. They can make a total of 905 computers per day. How many machines make laptops and how many make desktops? (QUESTION NUMBER 4 and in the picture is question number 5. PLEASE HELP WITH BOTH

Answers

Answer:

For the second question, 4 busses and 3 cars.

Step-by-step explanation:

It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195.  Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.

i have the coronavirus

Answers

That’s swag

I have Squidarooni disease

Answer:

Ok-

Step-by-step explanation:

Which phrase best describes the translation from the graph y = 2x^2 to the graph of y= 2x^2 + 5?
O5 units up
O5 units down
O 5units right
O5 units left

Answers

Answer:

05 units up and down

Step-by-step explanation:

hope this hepled luv!

The phrase that best describes the translation from the graph y = 2x^2 to the graph of y = 2x^2 + 5 is "5 units up".

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Adding a constant term to a function vertically shifts its graph up or down, depending on the sign of the constant.

In this case, the constant term is positive (+5), which means that the graph of y = 2x² + 5 is shifted upward by 5 units compared to the graph of y = 2x².

Therefore, the correct phrase is "5 units up".

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player​ have?

Answers

Ricky had 1203 hits Pedro had 1484

Please helpp!!

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? What percent discount does this represent from the original price? Round to the nearest whole percent.

Answers

Answer:

2

Step-by-step explanation:

Find the slope between the two points.
(2,7) and (5, 8 )

Answers

Answer:

Slope

0.33

Step-by-step explanation:

I need help with this ​

Answers

12
y=27
p=5
a=28
r=32
c=4
q=11
u=5
w=30
z=1
sorry if these are wrong or mixed up

the value of a second-hand car is £8000
Each year it loses 20% of it value at the start of this year. work out its value in 5 years time.


pls show working out
I will mark brainest and rate 5 stars​

Answers

Answer:

£2,621.44

Step-by-step explanation:

Original cost of car = £8000

If it looses 20% of its value yearly

Value at the end of first year

80% * 8000

= 0.8 * 8000

= 6400

Value at the end of second year

80% * 6400

= 0.8 * 6400

= 5120

Value at the end of third year

80% * 5120

= 0.8 * 5120

= 4096

Value at the end of fourth year

80% * 4096

= 0.8 * 4096

= 3,276.8

Value at the end of fifth year

80% * 3,276.8

= 0.8 * 3,276.8

= 2,621.44

Hence the value in 5 years time will be £2,621.44

There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What percent were not absent?​

Answers

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.  

SORRY IF IM WRONG have a good night :)

Sandra drove 90 miles and used 6 gallons of gasoline. Ben drove 135 miles and used 9 gallons of
gasoline
Which of these statements is true?
A Sandra and Ben used gasoline at the same rate because - 15
B Sandra and Ben used gasoline at different rates because Ben drove a longer distance.
C Sandra and Ben used gasoline at the same rate of 12 miles per gallon.
Sandra and Ben used gasoline at different rates because Sandra used less gasoline.

Answers

Answer:

It is A

Step-by-step explanation:

6 x 15 = 90

9 x 15 = 135

Answer: A

Step-by-step explanation:

because the rate Sandra is using gas is 90/6 which is 15 and the rate Ben is using gas is 135/9 which is also 15. Since they are USING the gas, it is minus 15 (-15).

Solve for x and all the missing angles.
(-11+3y)
(34+Y)
(37+y)°

Answers

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180   The sum of all the angles in a triangle is 180 degrees.

60+5y=180  Combine like terms

5y=120  Subtract 60 from 180

y=24   Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

the value of a second hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 year time.


pls show working out who ever answer first get marked brainest and get rated excellent. urgently needed. need asap my teacher waiting​

Answers

Answer:

0

Step-by-step explanation:

20 percent of 8000 = 1600

1600 x 5= 8000

8000 - 8000 = 0

Write the expanded form of the expression

r(−3−5t)

Answers

-3r -5tr, all you need to do is distribute the variable.

Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?

Answers

Answer:

b.

Step-by-step explanation:

the percent error for this year was higher. deanna estimated better last year.

hope it helps!

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6

Answers

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

,,,,,,,,,,,,,,,,,,,lllllllll..........

Answers

Answer: 7

Step-by-step explanation: The opposite of Multipication is division so divide 84 by 12

Answer:

k=7

Step-by-step explanation:

Call me weird but I love these types of questions.

Ok to solve this here's what you need to do.

Your solving for k right?

So make an equation.

Product is the result of multiplication so 12 and k would be 12k.

It needs to equal 84 so 12k=84

Now you need to get rid of 12.

You need to use the opposite operation as the number your trying to get rid of. In this case it would be division.

[you do not divide the x because you need it alone on one side]

So 12k divided by 12 = 84 divided by 12

12k/12 is k because a number divided by itself is 1.

84/12 is 7.

that leaves us with k=7

Thats it!

If you need further help don't be afraid to reach out and I hope this helped! <3


1. Which of these can be written as an equation?

Answers

Answer:

4×w+3 is the correct answer

Step-by-step explanation:

Dont need one

Jasmine can buy 2.25 pounds of beef for $7.98.

What is the unit price per pound of meat?
I haven't done unit rate in a while and I can't find it in my notes. So could you explain how to find unit rate too?

Answers

Answer:3.54

Step-by-step explanation:You would divide the price by the amount.

Plsss help pay money of mark brainlist

Answers

Answer:

yes, ASA

Step-by-step explanation:

You have two angles and the included side of two triangles, so you can prove the triangles are congruent by ASA.

ASA make the most sense

Avery is making a necklace for her mothers birthday. She uses 1 1/20 strings of black beads and 1 4/5 more strings of gray beads than black beads. How many strings of gray beads did she use?

.

Answers

Answer:

She used 2 17/20 strings of grey beads

Step-by-step explanation:

Here, we want to know the number of grey beads used

To calculate this, we simply add up the black beads number with the number of grey beads

Mathematically, that will be;

1 1/20 + 1 4/5

= 21/20 + 9/5

= (21 + 36)/20

= 57/20 = 2 17/20

What is 7 divided by 9.8?

Answers

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

The answer is 0.71 divided it.
I hope this helps :)

determine the slope of the table

Answers

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer

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