Solve the equation by completing the square.
9y2 + 12y - 11 = 0

Answers

Answer 1

Answer:

-⅔ +⅓ √15

Step-by-step explanation:

y= -⅔ +⅓ √15

or

y = − ⅔ + -⅓ √15


Related Questions

What is the value of (4/5 a 1/3) x 5^2 + 5/6 expressed in simplest form

Answers

Answer:

The choice C.

[tex]12 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]( \frac{4}{5} - \frac{1}{3} ) \times {5}^{2} + \frac{5}{6} \\ \\ ( \frac{12}{15} - \frac{5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{12 - 5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{7}{15} ) \times 25 + \frac{5}{6} \\ \\ \frac{35}{3} + \frac{5}{6} \\ \\ \frac{70}{6} + \frac{5}{6} = \frac{75}{6} \\ \\ = \frac{25}{2} = 12 \frac{1}{2} [/tex]

I hope I helped you^_^

Classify the triangle. Find the value of x

Answers

Answer:

45-45-90, x = -7

Step-by-step explanation:

The triangle is 45-45-90

45 = x + 52

x = -7

(5 3/4- 3 1/6)× 4 4/5??????​

Answers

Answer:

12 2/5   or   12.4

Step-by-step explanation:

Ayuda please I need help me please

Answers

Answer:

sqrt(61)

Step-by-step explanation:

4-(-1) = 5

-3-(-9) = 6

sqrt(5^2+6^2) = sqrt(25+36) = sqrt(61)

Lines 1 || m, then Zz=
a. 120 b. 60 c. 180 d. 90​

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbb


A sloth crawled 6 cm in one second. What was its speed in km/h? (1 hr =
3600 s) (1 km = 100,000 cm)

Answers

Step-by-step explanation:

it was measured that the south crawled 6cm in 1 second.

that gets expressed by the ratio

6 cm/sec or formally correct 6/1 cm/sec.

to get that speed in km/h (kilometers per hour), we need to transform the denominator of that ratio to 1 hour.

the only way we can manipulate a fraction or ratio without changing its value is by multiplying numerator and denominator (top and bottom) by the same factor.

like x/y × 3/3 = 3x/3y.

the driver behind a question of this kind is again the denominator. we want the denominator to appear as 1 hour.

so, what do I need to multiply 1 second with to get 1 hour ?

the problem definition tells us : 3600, as there are 3600 seconds in 1 hour.

so, we need to multiply

6/1 × 3600/3600 = (6×3600)/3600 = 21600/3600 =

21600cm/1 hour.

and now, how many km are 21600 cm ?

1 km = 100000 cm

so,

21600cm = 21600/100000 km = 0.216 km

therefore, or full answer is

the sloth's speed was 0.216 km/h

212.65 x 10? = 21,265.0
A 102
B 109
C 103

Answers

Answer:

I'm confused what your asking because 212.65 x 10 does equal 21,265.0

help me pls, solve it using the arithmetic or geometric formula​

Answers

Answer:P2,700,000

Step-by-step explanation:

P100,000 must be added to the purchase price every year from 2009 to 2021.  A formula calculating the value, V, as a function of time, t, where t is years since 2009, would be:

V(t) = P1,500,000 + (t - 2009)*(100,000)

V(2021) = P1,500,000 + (2021 - 2009)*(100,000)

V(2021) = P2,700,000

[Warning:  This prediction assumes no housing bubble drop or general recession.  It also assumes consistent government policies regarding home ownership.  If there were a probability component to the question, it is likely that the overall probability is zero that this is calculation will hold true.  This isn't important to answering the question, but it does allow me to vent a bit.]

Adult tickets to
the fall play cost $8 and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets to the fall play. If the class
collected $880 from
ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is?

Answers

Substitution.
Adult tickets = A (cost $8)
student tickets = S (cost $4)

The drama class sold 20 more adult tickets than student tickets:
A = S + 20 (equation 1)

The class collected $880 from tickets:
8A + 4S = 880 (equation 2)

How many adult tickets were sold?
A = S + 20
8A + 4S = 880

we substitute the first equation into the second:
8(S+20) + 4S = 880
8S + 160 + 4S = 880
12S = 720
S = 60

Next we find the adult tickets by substituting back:
A = S + 20
A = 60 + 20
A = 80

Check our answer by substituting our answers in equation 2:
8A + 4S = 880 (equation 2)
8(80) + 4(60) = 880
640 + 240 = 880
880 = 880

Find the sum
[tex]\sum_{k=1}^{\infty}\sum_{n=1}^{\infty} \frac{k}{ {2}^{n + k} } . \\ [/tex]
Correct answer will be mark as brainliest answer.​

Answers

[tex] \large\underline{\sf{Solution-}}[/tex]

Given series is

[tex]\rm \longmapsto\:\displaystyle\sum_{k=1}^{\infty}\rm \displaystyle\sum_{n=1}^{\infty}\rm \frac{k}{ {2}^{n + k} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \:\displaystyle\sum_{k=1}^{\infty}\rm \displaystyle\sum_{n=1}^{\infty}\rm \frac{k}{ {2}^{k} . {2}^{n} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \bigg[\dfrac{k}{ {2}^{k}}\displaystyle\sum_{n=1}^{\infty}\rm \dfrac{1}{ {2}^{n} } \bigg][/tex]

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \dfrac{k}{ {2}^{k} }\bigg(\dfrac{1}{2} + \dfrac{1}{ {2}^{2} } + \dfrac{1}{ {2}^{3} } - - - \infty \bigg) [/tex]

So, its an infinite GP series with

[tex] \purple{\rm \longmapsto\:a = \dfrac{1}{2}}[/tex]

[tex] \purple{\rm \longmapsto\:r = \dfrac{1}{2}}[/tex]

We know,

Sum of infinite GP series with common ratio r ( - 1 < r < 1 ) and first term a is given by

[tex]\boxed{\tt{ \: \: S_ \infty = \frac{a}{1 - r} , \: \: provided \: that \: |r| < 1}}[/tex]

So, 1using this, we get

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \frac{k}{ {2}^{k} }\bigg( \frac{ \frac{1}{2} }{1 - \frac{1}{2} }\bigg)[/tex]

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \frac{k}{ {2}^{k} }\bigg( \frac{ \frac{1}{2} }{ \frac{2 - 1}{2} }\bigg)[/tex]

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \frac{k}{ {2}^{k} }\bigg( \frac{ \frac{1}{2} }{ \frac{1}{2} }\bigg)[/tex]

[tex]\rm \:  =  \: \displaystyle\sum_{k=1}^{\infty}\rm \frac{k}{ {2}^{k} }[/tex]

[tex]\rm \:  =  \: \dfrac{1}{2} + \dfrac{2}{ {2}^{2} } + \dfrac{3}{ {2}^{3} } + \dfrac{4}{ {2}^{4} } + - - - \infty [/tex]

Let assume that

[tex]\rm \longmapsto\:S_ \infty   =  \: \dfrac{1}{2} + \dfrac{2}{ {2}^{2} } + \dfrac{3}{ {2}^{3} } + \dfrac{4}{ {2}^{4} } + - - - \infty [/tex]

Now, its an infinite Arithmetico Geometrico Series, So multiply by 1/2 we get

[tex]\rm \longmapsto\:\dfrac{1}{2} S_ \infty   =  \: \dfrac{1}{ {2}^{2} } + \dfrac{2}{ {2}^{3} } + \dfrac{3}{ {2}^{4} } + \dfrac{4}{ {2}^{5} } + - - - \infty [/tex]

On Subtracting above two equations, we get

[tex]\rm \longmapsto\:\dfrac{1}{2} S_ \infty   =  \: \dfrac{1}{2} + \dfrac{1}{ {2}^{2} } + \dfrac{1}{ {2}^{3} } + \dfrac{1}{ {2}^{4} } + - - - \infty [/tex]

[tex]\rm \longmapsto\:\dfrac{1}{2} S_ \infty   =  \: \dfrac{ \dfrac{1}{2} }{1 - \dfrac{1}{2} } [/tex]

[tex]\rm \longmapsto\:\dfrac{1}{2} S_ \infty   =  \: \dfrac{ \dfrac{1}{2} }{ \dfrac{1}{2} } [/tex]

[tex]\rm \longmapsto\:\dfrac{1}{2} S_ \infty   =  \: 1[/tex]

[tex]\bf\implies \:S_ \infty = 2[/tex]

Hence,

[tex] \\ \rm \longmapsto\:\boxed{\tt{ \: \: \: \: \displaystyle\sum_{k=1}^{\infty}\rm \displaystyle\sum_{n=1}^{\infty}\rm \frac{k}{ {2}^{n + k} } = 2 \: \: \: \: }} \\ [/tex]

Let A = {1,5, 17,21} and B =
{3,4,6,10). R SAXB, R = {(1,3).(5,6),(5,10),(21,6)}
What are 1, 5, and 21 related to? What is domain, codomain, and range of R?
a.

Answers

sa may picture yong answer

Step-by-step explanation:

sana makatulong

Which exponential functions have been simplified correctly? Check all that apply.

Answers

Answer:

A, C, and D have been simplified correctly

May I please receive help

Answers

Answer:

the slope is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope of ║ line is ( - [tex]\frac{5}{4}[/tex] )

slope of ⊥ line is [tex]\frac{4}{5}[/tex]

CAN SOMEONE PLS HELP ME WITH THIS QUESTION IM MARKING BRAINLEIST

Answers

Answer:

Step-by-step explanation:

We can pick the two coordinates again, such as (90,70) and (10,50)

And use the formula m=y1-y2/x1-x2

m= (70-50)/(90-10)

=20/80

=1/4

Right answer gets brainlyest

Answers

Answer:

[tex]-\frac{7}{8}a-\frac{1}{6}[/tex] (the first box is 7/8 and the second box is 1/6)

Step-by-step explanation:

Step 1: Combine like terms.

[tex](-\frac{5}{8}a-\frac{1}{4}a)+(\frac{2}{3} -\frac{5}{6})[/tex] [tex](-\frac{5}{8}a -\frac{2}{8}a)+(\frac{4}{6}-\frac{5}{6})[/tex] [tex]-\frac{7}{8}a-\frac{1}{6}[/tex]

Therefore, the answer is [tex]-\frac{7}{8}a-\frac{1}{6}[/tex]. (Again, the first box is 7/8 and the second box is 1/6).

help me lolol skixisknwnd

Answers

Answer:

x=300

Step-by-step explanation:

First you had to find the scale factor of the image to do that you would have to divide 325 by 13 resulting in 25 then you would multiple 12 times 25 resuliting in 300.

Type the integer that makes the following addition sentence true: 9 + what = 2​

Answers

I believe the answer to be (-7)

Answer:

-7

Step-by-step explanation:

Step 1: Make an equation.

[tex]9 + x = 2[/tex]

Step 2: Subtract 9 from both sides.

[tex]9 + x - 9 = 2 - 9[/tex] [tex]x = -7[/tex]

Step 3: Check if solution is correct.

[tex]9 + (-7) = 2[/tex] [tex]9 - 7 = 2[/tex] [tex]2 = 2[/tex]

Therefore, the integer that makes the addition sentence true is -7.

48:09
Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24 + 56. Her work is shown below.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

24 + 56 = 8 (4 + 7)

What statement best describes Simone’s error?
Simone did not use the correct factors for 24 in the equation.
Simone did not use the correct factors for 56 in the equation.
Simone did not use the greatest common factor in the equation.
Simone did not use the correct operations in the equation.

Answers

For this case we have the following expression:
24 + 56
The factors of the numbers are:
24: 1, 2, 3, 4, 6, 8, 12, 24
56: 1, 2, 4, 7, 8, 14, 28, 56
So, factoring we have:
24 + 56 = 8 (3 + 7)
Simone wrote:
24 + 56 = 8 (4 + 7)
Therefore his error is:
Simone did not use the correct factors for 24 in the equation
Answer:
Simone did not use the correct factors for 24 in the equation

There are 3 teaspoons in 1 tablespoon. How many teaspoons are there in 6 tablespoons?

Answers

Answer:

18

Step-by-step explanation:

we can solve this as a ratio, from teaspoons to tablespoon is 3:1. if the tablespoon is 6 then the ratio becomes ?:6. Since we multiplied 1 by 6 we have to multiply 3 by 6 making the ratio 18:6.

True or False?
|-10| = -10

Answers

Answer:

false

Step-by-step explanation:

absolute value turns the number positive

I-10I=10

a
A shipping container is in the shape of a right rectangular prism with a length
of 13.5 feet, a width of 11 feet, and a height of 5-5 feet. The container is
completely filled with contents that weigh, on average, 0.93 pound per cubic
foot. What is the weight of the contents in the container, to the nearest
pound?

Answers

Answer:760 lbs

Step-by-step explanation:

The volume of a right rectanglar prism (i.e., a box) is length*width*height.

Volume = (13.5)*(11)*(5.5) = 817 ft^3

Density = 0.93 lb/ft^3

Weight of container contents = (817 ft^3)*(0.93 lg/ft^3) = 760 lbs

The answer to this question Is 170 lbs

how do you find the answer to -9+p=12

Answers

Answer:

P=21

Step-by-step explanation:

Add 9 to 12

Answer: Heyy bestie ❤️ The Answer is 21

Step-by-step explanation:

P-9=12

p=12+9

p=21

what is the multiplication inverse of -3/11 and they also said they wanted the improper inverse and mixed number and if you could also explain it to me that would be amazing ​

Answers

Answer:

3/11

Step-by-step explanation:

because 334443

Please Help ASAP !



.

Answers

Quinn's way takes a little more time because he didn't chose a good answer to multiply with 8 but gotten the answer anyways. Unlike Jewel, she had a answer that made things much quicker.

Solve.−4 2/5=x−1 1/4What is the solution to the equation?Enter your answer as a simplified mixed number in the box.x =

Answers

Answer:

[tex]\boxed{\sf x=-3\frac{3}{20}}[/tex]

Step-by-step explanation:

[tex]\sf -4\cfrac{2}{5}=x-1\cfrac{1}{4}[/tex]

Multiply Both sides by 20, Which is the LCM of 5, 4:

[tex]\mapsto \sf (4\times 5+2)=20x-5(4+1)[/tex]

Multiply 4 and 5= 20, and add 20 +2 =22

[tex]\mapsto \sf -4\times 22=20x-5(4+1)[/tex]

Multiply -4 * 22 = -88, and then add 4+1=5:

[tex]\mapsto \sf -88=20x-5\times 5[/tex]

Multiply -5 *5 = -25:

[tex]\mapsto \sf -88=20x-25[/tex]

Now, swap sides:

[tex]\mapsto \sf 20x-25=-88[/tex]

Add 25 to both sides:

[tex]\mapsto \sf 20x=-88+25[/tex]

[tex]\mapsto \sf 20x=-63[/tex]

Divide both sides by 20:

[tex]\mapsto \sf x=\cfrac{-63}{20}[/tex]

Now, convert an improper fraction to a mixed number: →

[tex]\mapsto \sf x= -3\cfrac{3}{20}[/tex]

_____________________________________

What are the first 10 numbers of pi?

Answers

The first 10 numbers of pi are 3.1415926535

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm {\red{\pi \: = \: \frac{22}{7} }}}}}\end{gathered}[/tex]

[tex] \Large{{ { \blue{ \rm{{↬}}}}}} \rm \large \: \: \: {{ \Large{ \purple{ \rm{{ \frac{22}{7} \: = \: 3.1415926535 }}}}}} \: [/tex]

PLZ HELP I WILL Give Brainliest
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

Answer:

Is this a graph question?

Just divide 12 by 3.75, with that you get 3.2. So 3.2 (gallons) X 3.75 (price) = 13 so your points would be (3.2 and 12)

Someone pls help me I will make you brain

Answers

Answer:

k=4

Step-by-step explanation:

Answer:

The answer is K=2 100% sure.

3^3 log3 4
see image

Answers

=
51.529096 is your answer

If student A is 160 cm tall, and the student B is 20% shorter than student A, what is the height of student B?

Answers

Answer:

128

Step-by-step explanation:

It’s actually quite simple all you have to do is find out what 20% of 160 is then subtract the 20% by 160 to get your final answer UwU

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