Find the roots of the equation: 6y^2 + 24 = 0

Answers

Answer 1

Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer 2

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±[tex]\sqrt{-4}[/tex]

y=±[tex]\sqrt{4}[/tex] i


Related Questions

At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =​

Answers

Answer:

  w = 1/7t

Step-by-step explanation:

Assuming the rate is constant, the function will be ...

  w = kt

We can find k using the given values:

  11 = k·77

  k = 11/77 = 1/7

The linear function rule is w = 1/7·t.

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?

Answers

Answer:

61 miles

does this help??

Step-by-step explanation:

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?

Answers

Answer:

i think 222 for eatch side

Step-by-step explanation:

A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?

Answers

Answer:

2.5 hours

Step-by-step explanation:

time = distance / speed

t = 80 / 32

t = 2.5 hours

\sf 45-2x=75-3x



Free

Answers

[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]

[tex]\sf \longmapsto45+−2x=75+−3x[/tex]

[tex]\sf \longmapsto−2x+45=−3x+75[/tex]

[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]

[tex]\sf \longmapsto \: x+45=75[/tex]

[tex]\sf \longmapsto \: x+45−45=75−45[/tex]

[tex]\sf \longmapsto \: x=30[/tex]

[tex] \boxed{\sf 30}[/tex]

PLEASE HELP ME FOR 25 POINTS NO LINKS!

Answers

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?

Answers

Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

Read more about probabilities at:

https://brainly.com/question/11234923

Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?

Answers

Answer:

48 books

Step-by-step explanation:

you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48

If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.

Answers

Answer:

x = 7

Step-by-step explanation:

∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.

[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]

show your work

3|n-4| = 18

Answers

Answer:

n = 10, n = -2

Step-by-step explanation:

hope it helps.

What is 2 hundredths in standard form in fifth grade

Answers

0.02

0._ is tenths and

0.0_ is hundredths

Answer:

Step-by-step explanation:

5th Grade Math 1.2, Place Value of Whole Numbers, Standard Form ... this is the name of the  video. I hope it helps.

Simplify: 7.2 x10^4/3.0 x 10^2

Answers

Answer:

240

Step-by-step explanation:

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it

Answers

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

[tex]x = 5 \sqrt{3} [/tex]

3g + 4y - 8 + 2t + 5

Answers

Answer: 3g + 4y - 13 + 2t

Step-by-step explanation:

[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]

5(6a +1) = 7(4x + 3) w/steps

Answers

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

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

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!

a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?

Answers

Answer:

197

Step-by-step explanation:

https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf

I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.

Answers

Answer:

Its D.

Step-by-step explanation:

The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left

4.
Graph the equation 3x – 2y = -4.

Answers

First of all arrange the equation in terms of y=Mx+c

2y=3x+4

(NOW DIVIDE BY 2 , TO MAKE Y ALONE)

Final answer is : Y = 3/2x + 2

what is the y- intercept of this quadratic funtions f(x)=-x2+10x-22

Answers

Y intercept: when x = 0
Plug in x = 0
F(0) = -0^2 + 10(0) - 22
F(0) = 0 - 22

The y intercept is (0,-22)

Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.

Answers

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

plss hurry For a brainlist Please help:)

Determine the graph of the function f(x)=3^x−4

Answers

Answer:

It is D

Step-by-step explanation:

The equation of the horizontal asymptote is  y = − 4  .Horizontal Asymptote:  y = - 4

HELP ASAP

Solve for the measure of ∠PMR

Answers

Answer:

116*

Step-by-step explanation:

Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.

Tell me if I'm wrong :)

u=xk , for x
please help me

Answers

Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

y=[3/2] x+3.
Pls help me .
Its a graph sum​

Answers

Answer:

I'm not sure what the question is. Graph?

Step-by-step explanation:

See graph.

Answer:

352

what r u do

789

why nt coming

why r u nt talking

what is the answer too 2y-3=-5

Answers

2 − 3 = −5

First we need to Add 3 to both sides of the equation:

2 − 3 + 3 = −5 + 3

Then we simplify:

2 = −5 + 3

 2 = −2

Now we divide both sides of the equation by the same term:

2 / 2 = −2 / 2

Final answer: = −1

I hope this helps!

Answer:

Y= - 1

Step-by-step explanation:

2y-3= - 5

  +3    +3

   2y= -2

   /2    /2

Y= -1

Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.

Step 2: Add 3 to -5 which would be -2

Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y

Step 4: Divide 2 form -2 and you get -1

Let me know if you have any questions and I hope this helps

Blake's bank statement shows a
balance of $2000.00. Since the
statement date, Blake had
deposits of $1000.00 and $450.00.
He has visited the ATM for
withdrawals of $275,00 and
$40.00 when he took Christie to
the movies. He has written checks
for $47.00, $92.00, $101.00, and
$209,00. What is his account
balance?

Answers

His balance is $2,686.00

$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00

$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00

I need help to divide fractions

BTW I'm in 5th grade

Answers

I can help, what is the question?

What is the value of w in this equation?
10w = 27 + w

Answers

Answer:

w = 3

Step-by-step explanation:

10w = 27 + w

since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation

10w = 27 + w

-w           - w

9w = 27

now we have to get w alone so we have to divide 9 by both sides

9w/9 = w

27/9 = 3

so w = 3

X=3

10w=27+w
-w

9w=27
—-
9


W=3
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