one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​

Answers

Answer 1

Answer: Your going to have to correct your placing of your numbers.

Answer 2

-12 is value of b for equation 27x²+bx+8=0

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

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Related Questions


[tex]( {2}^{ - 1} \div {5}^{ - 1} {)}^{2} \times ( \frac{ - 5}{8} {)}^{ - 1} [/tex]
plzz help​

Answers

Answer:

-10

Step-by-step explanation:

hope it helps

.......

If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y​

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

find the value of
tan 45º . tan- 30° tan 60°​

Answers

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

Which of the following is the equation of
the line graphed below?

y=-2x-2
x-2-2
y --Zx-2
y - 2x - 2

Answers

Answer:

y=2x-2

I hope this helps:

 

pls help !! - Using the graph below, what is the rule for a translation form point A to point D?

Answers

The answer is b trust me I got this one right

Answer:

B

Step-by-step explanation: i took the test on docs/forms

Solve the given inequality and graph the solution on a number line. -x/2 + 3/2 < 5/2 Answer?
25 POINTS FOR BRAINLIEST

Answers

Answer:X>-2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don’t contain the variable.

Find the value of x.
B
92
A
1019
68
D
X=

Answers

Answer:

Step-by-step explanation:

For a submarine cable, the range of signalling is governed by the function


f(r) = r^2 ln⁡(1/r)

where 0
Find df/dr.

Answers

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

a group of 6 schools
plan to divide
a grant of $29.4 millions equally
How much will each school
receive?​

Answers

Answer:

$4,900,000

Step-by-step explanation:

29,400,000 / 6 = 4,900,000

each school will receive 4.9 million

29.4million divided by 6=4.9 million

It is not possible to divide 22 by 0 because there is no you can ______ by 0 and get 22.

A. multiply
B. add
C. subtract
D. divide

Answers

Answer:

divide

Step-by-step explanation:

divide

..........................

Answer:

its A.multiply

Step-by-step explanation:

if you cannot divide than you cannot multiply

Solve the inequality:

Please select the best answer from photo of choices provided.​

Answers

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

Substitute x=5 into the expression 4x-8 and simplify

Answers

Answer:

4(5) - 8

20 - 8

= 12

Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards
she sawed?

PLS HELP

Answers

4.5 Meters

9/10th of 1 Meter is 0.9M
0.9M times 5 (the number of boards) = 4.5M

good luck <3

Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?

Answers

She can buy 6 magazines and she needs 4 more dollars to buy another

what assumption have you made in answering part b​

Answers

You're assuming that this data set represents all of Mrs. Hassaan's pupils. Certain students could be missing from the histogram - for instance, there could be one or two students who missed the test, but for certain reasons will be taking a make-up exam. Their grade would not be recording in this data set, but they still contribute to the class size, and so would be unaccounted for here.

pls solve ASAP brain list to first and correct ​

Answers

Can you make the photo more clear/

The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh

Answers

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

Learn more,

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When are two lines perpendicular?

A. when the slopes are opposites
B. when the slopes are reciprocal
C. when the slopes are negative
D. when the slopes are opposite and reciprocal​

Answers

Answer: C I think

Step-by-step explanation:

Help meeeeeeeeeeeee.....

Answers

Answer:

Meredith runs 90 meters in 1 min

Step-by-step explanation:

The information says that she runs at a rate of 90 meters per minute.

90 meters in 1 min

180 meters in 2 min

Can somebody show me how to do this?

Answers

Answer: = 4x − 5x − 1 Hope this helped

Step-by-step explanation:

A grey umbrella costs $8 plus $0.72 in taxes. A yellow
umbrella costs 3 times as much as the grey umbrella. How
much does the yellow umbrella cost, in total?
Select the expression that represents the problem above,

Answers

Answer:

$26.16

Step-by-step explanation:

Since it says "A grey umbrella costs $8 plus $0.72 in taxes"that means a grey umbrella costs $8.72.So you have to do $8.72 * 3 which equals,$26.16

hope this helped!

Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars

Answers

Answer 1: 44 + B = A
44 + (35) = A
Answer 2: 44 + 35 = $79

Find the gradient of the line segment between the points (1,-2) and (-2,10).​

Answers

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]

[tex]m=\dfrac{10+2}{-3}[/tex]

[tex]m=\dfrac{12}{-3}[/tex]

[tex]m=-4[/tex]

Therefore, the gradient of the given line segment is -4.

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Answers

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Marco recorded the cost of jeans at several stores in the mall:
$45, $65, $75, $45, $97, $88, $52, $67, $99, $35
Find the mean price of jeans at the mall.

Answers

i think the answer is sixty-five

Answer: 66.8
Mean Def: A mean is a average in a number to get the average you add up all the numbers and divide it by how many numbers their are.
Explanation:
All together the numbers equal 668.
How many numbers: 10
668/10=

66.8

s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8

Work out
s
when
t
=
0.4

Answers

Answer:

s inversely proportional 1/t

s=0.3, t=8

s=k/t

0.3=k/8

k=0.3×8

k=2.4

find s when t=0.4

s=2.4/0.4

s=6.0 or 6

estimate the quotients 123.8 ÷ 62​

Answers


>> answer-1.99677419355. Estimate>> 124÷ 62 = 1 not sure

Please help I’m desperate
(#32)

Answers

Answer:

Concept: Piece values

4 pizzas 1/5 to each friend Hence 4 pizza × 5= 20 total slices 1 pizza can be given to 5 friends So 20 friends toral

There are a total of 168 hockey games in the season and 7 are played at night. The season is played for 14 months. How many games were played each month if each month has the same number of games?

Answers

Answer: 8

Step-by-step explanation: I added 7+14 then whatever i got i divied that by 168 so 168 by 21 which equals 8 but don’t hate if it’s wrong i’m only in the grade 5

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