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

find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour ​

Answers

Answer:

36 miles (b+C) (3)of rate

Which decimal is greater than 0.15 and less than 0.7?
A. 0.81
B. 0.56
C. 0.76
D. 0.005​

Answers

Answer:

B. 0.56

Step-by-step explanation:

A. 0.81  > 0.7

B. 0.56  < 0.7 & 0.56 > 0.15

C. 0.76  > 0.7

D. 0.005​ < 0.15

2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.

Answers

Answer:

25 presents.

Step-by-step explanation:

First subtract 2.7(4) from 30.

30 - 2.7(4) = 19.2 meters

Now, convert 19.2 into centimeters.

There's 100cm in 1m, so 19.2 meters can be found by doing:

19.2 x 100 = 1920 cm.

Now, do 1920 divided by 75:

1920/75 = 25.6

Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

y’all what is this evaluated ?

Answers

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6

=
$7.74
9

start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x

=
$7.74
9

start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction

(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9

=
$7.74
x

start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction

(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6

=
9
$7.74

start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction

(Choice E)
E
None of the above

Answers

Oh yeah lol I did it on the cross and I thought it was

Answer:

A= 6/x=9/$7.74

Step-by-step explanation:

Khan Academy

Please answer question on picture above.

Answers

Answer:

d the last one i think.

Step-by-step explanation:

Hope this helps have a good day!

Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?

Answers

Answer:

12

Step-by-step explanation:

let's say number of patches is x, and amount of time is y. the time per patch is k.

k * x = y

2 * k = 4

k = 2

2 * x = y

2 * 6 = 12

What is the scale factor of 9/10=21/x what is x

Answers

9x= 210
X=210/9
X=23.33........

!! PLEASE help !

Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .

Answers

Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).

For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).

What is 8 2/5 minus 5/8

Answers

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

A frog jumps 9 3/5 feet in the span of 2 2/3 seconds. Express as a complex fraction and then find the unit rate, in feet per second, that the frog is moving at. Express any improper fractions as mixed numbers.

Answers

Answer:

3 3/5 feet per seconds

Step-by-step explanation:

If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.

Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:

9 3/5 feet  = 2 seconds ... 1

The number of feet per seconds will be expressed as:

x = 1secs.... 2

Divide equation 1 by 2 as shown:

9 3/5 ÷ x = 2 2/3 ÷ 1

48/5x = 8/3

Cross multiply

5x * 8 = 48 * 3

40x = 144

10x = 36

5x = 18

x = 18/5

Express as a mixed fraction:

18/5 = 3 3/5ft/secs

Hence the frog is moving at 3 3/5 feet per seconds

Divide. Write your answer in scientific notation.
8 103
2 x 103

Answers

Answer: = 8.346296 × 106

Step-by-step explanation:

The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?

Answers

Answer:

m = 8

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

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Find the midpoint of points A(-8, 2) and B(-5, 10)

Answers

Answer:

-40×20

= -40/20

= -2

Step-by-step explanation:

Solve.
X = -7
4x - 4y = 12
(x,y)

Answers

Answer:

(-7, -10)

[tex]x=-7\\y=-10[/tex]

Step-by-step explanation:

[tex]4x-4y=12[/tex]

Substitute x for -7.

[tex]4(-7)-4y=12[/tex]

Multiply 4 by -7.

[tex]-28-4y=12[/tex]

Add 28 on both sides.

[tex]-4y=40[/tex]

Divide -4 on both sides.

[tex]y=-10[/tex]

19 - k = 4.




I need help​

Answers

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

15x+98=105 What is the value of x and please show your work. :) ​

Answers

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

Graph the function.


f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answers

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

Is this the Right answer?

Answers

Answer:

yes i think it is

Step-by-step explanation:

checked each of them

given H(x)=4(x+3), which of the following is the value of H(-2)?

Answers

Answer:

H(-2)=4

Step-by-step explanation:

H(x)=4(x+3)

Let x =-2

H(-2)=4(-2+3)

      =4(1)

     = 4

giving branliest, 7th grade math

Answers

Answer:

1/3

Step-by-step explanation:

Total number of outcomes = 3

Possible outcomes = 1

probability = possible outcomes/ total number of outcomes = 1/3

HOPE THIS HELPS YOU

Answer:

1/3

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

Write the equation x2 + 6x + y2 – 8y = 19 in standard form.

Question 11 options:


1)
(x + 3)2 + (y – 4)2 = 44


2)
(x + 3)2 + (y – 4)2 =


3)
(x – 3)2 + (y – 4)2 =


4)
(x + 3)2 + (y + 4)2 = 44

Answers

Answer:

i think its 2

Step-by-step explanation:

The equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given the equation as;

x² + 6x + y² - 8y = 19

We need to find the standard form of the equation.

Thus, we have,

(x²  + 6x )+(y²- 8y) = 19

We shall complete the square for the term;

(x²  + 6x + 9 - 9 ) + (y² +  4y + 16 - 16) = 19

Simplifying, we get,

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16

Formula used :

x²+2xy+y² = (x+y)²

x²-2xy+y² = (x-y)²

Simplifying, we get,

(x + 3)² + ( y - 4)² = 44

Thus, the equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.

Hence, Option A is the correct answer.

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Someone please help ASAP

Answers

The answer to this question is Yes, No, Yes, No

What is the simplified form of
72x16/50x36 ? assume x ≠ 0

Answers

Answer:

Option A

Step-by-step explanation:

[tex]\sqrt{\frac{72x^{16} }{50x^{36} } } = \sqrt{\frac{36x^{16} }{25x^{36} } } = \frac{\sqrt{36x^{16} } }{\sqrt{25x^{36} } } = \frac{\sqrt{36} \times \sqrt{x^{16} } }{\sqrt{25} \times \sqrt{x^{36} } } = \frac{6x^{8} }{5x^{18} } = \frac{6}{5} \times x^{8-18} =\frac{6}{5} \times x^{-10} = \frac{6}{5x^{10} }[/tex]

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day


[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]

Answers

Answer:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8)  .... remainder  7x+8

Step-by-step explanation:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder  7x+8

Use long division method

Ellen drove 357.3 miles. For each gallon of gas, the car can travel 21 miles. Select a reasonable estimate of the number of gallons of gas Ellen used. Mark all that apply.

Answers

Take 357.3 miles and divide by 21 gal/mile to get a final answer of 17 gallons used during the trip

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.

Answers

the more money u make, the more taxes u have to pay

Answer:

the answer is 2

Step-by-step explanation:

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