Solve the following equation using any method of your choosing: 6x² +24x = 0

Answers

Answer 1

Answer:

x = 0   or  x = -4

Step-by-step explanation:

Solve: 6x² +24x = 0

First you can factor this binomial.

6x² +24x = 6x (x + 4) = 0

so  x = 0  or  x + 4 = 0

x = 0   or  x = -4


Related Questions

Find the first four terms in the sequence an=15+6n.

A. 18, 12, 6, 0

B. 20, 26, 32, 38

C. 21, 27, 33, 39

D. 20, 14, 8, 2

Answers

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

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What is the area of the base

Answers

The are of the base is 32 in^2. Since is 4 times 8

Which is equal

(please help asap!)

Answers

Answer:

B

Step-by-step explanation:

there

Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.

Answers

Answer:

I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3

Step-by-step explanation:

There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.

Sorry if that was a bad explanation, I have trouble with explaining stuff.

Let me know if this is correct or not-

Answer:

one over six.

Step-by-step explanation:

If the player only play a CD one time.

Then let one decided by six.

Therefore the answer as a fraction is one over six.

The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?

Answers

Answer:

The formula of this perpendicular line is y = 4x - 2

Step-by-step explanation:

In y = -1/4x+3 the gradient is -1/4.

If two lines are perpendicular, then their gradients will multiply together to give -1.

Use this to find the gradient a of the perpendicular line.

-1/4 * a = -1

a = -1 * -4 so the gradient a of the perpendicular line = 4.

Substitute (2,6) in y = 4x + b, to find the value of b.

y = 4x + b

(2,6)

6 = (4*2) + b

b = 6 - (8)

b = -2

So now we have our equation.

The formula of this perpendicular line is y = 4x - 2

Eloise is designing a triangular flag. Is it possible to design more than one flag with side lengths of 27 inches and 40 inches and an included angle of50°? Explain. *

Answers

Answer:

Step-by-step explanation:

The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.

Can you pleasee help me with the Screenshot Below its Overdue.

Answers

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X


There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is​

Answers

First take the total of students ( 18 + 22 ) = 40. To calculate the percentage take the total of boys and divide it by the total of 40, and multiply by 100%. That gives 22 : 40 x 100% = 55. So the probability that a boy has the letter is 55%.

Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment

Answers

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

t = ???

P = 2,200

I = 528

r = 12%

528 = 2,200(t x 1)

t = 528/2,200

t = 0.24

t = 0.24 x 100 = 24%

You're welcome.

Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.

Answers

Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

HOPE IT HELPS:)

2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3

Answers

Answer:

the answer is 290 m3 i hope you guys have a good day today <3

Answer:

C

Step-by-step explanation:

edge

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?

Answers

Answer:

Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Step-by-step explanation:

Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]

To find: quotient and remainder

Solution:

In the given question,

Dividend = [tex]5x^4+5x^2+5[/tex]

Divisor = [tex]x^2-x+1[/tex]

[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]

So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?

Answers

If you scale 64 meters by a factor of 5 you will get 34.55

Consider rectangle ABCD with diagonals BD and AC

intersecting at

Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and 2 CED are vertical angles and equal

76

ZABE and 2 CBE are complementary angles,

BEC and CED are vertical angles,

-------

BEA and AED are supplementary angles

whose sum is 180°

O

BEC and

AED are adjacent angles,

Answers

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

BEA and 2×CED are vertical angles and equal  76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles  whose sum is 180° BEC and  AED are adjacent angles,

Answer:

it is abd

Step-by-step explanation:

A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

A store buys shirts from a distributor for $10 each and marks them up 50%. After selling them for 3 weeks, they put them on sale for 50% off. Is the discounted price $10?

Answers

Answer:

No, it’s 7.50

Step-by-step explanation:

The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Cost price of one shirt = $10.

Also, Shopkeeper marks up 50 % on shirts.

Marked up price = 10 x 50% = 10 x 50 / 100 = $15

Since, shopkeeper gives discount as put the shirts on sale for 50% off.

So the price after giving discount = 15 x 50 / 100 = 7.5

The discounted price of shirt is 7.5.

Hence, the given statement that is discount price is $10 is incorrect.

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A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q

Answers

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is [tex]x[/tex]

According to the question, Age of oldest child is [tex]=x+4[/tex]

Eldest child age [tex]=x-2[/tex]

Sum of the ages of children is [tex]26[/tex]

[tex]x+4+x+x-2=26[/tex]

[tex]3x+2=26[/tex]

[tex]3x=24[/tex]

[tex]x=8[/tex]

Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]

What is 1200 milligrams converted into grams

Answers

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%

Answers

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?

Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

7/18

Step-by-step explanation:

First we need to find what values of sum we can have.

The minimum value for a cube is 1, so the minimum value for the sum is 2.

The maximum value for a cube is 6, so the maximum value for the sum is 12.

Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:

4, 6, 8, 12.

To have a sum of 4, we can have the pairs:

(1,3), (2,2), (3,1)

To have a sum of 6, we can have the pairs:

(1,5), (2,4), (3,3), (4,2), (5,1)

To have a sum of 8, we can have the pairs:

(2,6), (3,5), (4,4), (5,3), (6,2)

To have a sum of 12, we can have the pairs:

(6,6)

So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is,      [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.

The sum that is a multiple of 6 or a sum that is a multiple of 4  are   4, 6, 8 and 12.

For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)

For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)

For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)

For sum of 12, we can have the pairs = (6,6)

Total number of favourable outcomes = 14

When two distinct number cubes are rolled. then,

Total number of outcomes  [tex]=6^{2}=36[/tex]

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,

                  [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

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if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one​

Answers

Answer:

0.7853981634

Step-by-step explanation:

it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"

If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters​

Answers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

a) -3 · x = -21

b) -7x + 16 = 2x - 20
help pls

Answers

a) x=7, you divide both sides by -3 to get x by itself.

b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
a) -3x=-21
x=-21/-3
x=7

b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answers

Answer:

hexagonrectanglesquaretrianglepentagon

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.

Answers

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...​

Answers

Answer: It decreases by four then go up by six or increase by 6.

Step-by-step explanation:

It shows the alternating increased by 2

It decreases by four then go up by six or increases by 6.

We have given the pattern is

8, 4, 10, 6, 12, 8, 14, ....

We can see that

the first number is 8 and the second is 4

8>4

from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.

What is the meaning of increasing?

Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.

There is two pattern

8,10,12,14....

Increasing by 2

4,6,8.....

Increasing by 2

Therefore it shows the alternating increased by 2.

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Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?

Answers

The answer is D.

For a toss of heads you can have a roll of 1, 2, 3 or 4.

and for a toss of tails you could have a roll of 1, 2, 3, or 4

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Coffee had the following stock transactions in 2005 and 2006: 1/1/2005 - Sold 30,000 shares of common stock at $20 per share. 1/1/2005 - Sold 10,000 shares of preferred stock at $100 per share. 4/1/2005 - Issued at 50 percent stock dividend when the market price is $26 per share. 9/1/2005 - Purchased 4,000 treasury shares at $30 per share. 10/1/2005 - Sold 1,000 of the treasury shares at $32 per share. 11/1/2005 - Sold 2,000 of the treasury shares at $25 per share. 12/1/2005 - Issued a 2-1 for stock split. 12/20/2005 - Declared the required dividend to preferred stock holders and a $.25 per share dividend to common stockholders. Dividends are payable on 12/31/2005.Prepare journal entries to record all of the above business events A family has three children. The oldest child is 4 years older than themiddle child, and the youngest child is 2 years younger than themiddle child. The sum of the ages of the children is 26.RHow many years old is the youngest child?years oldQ A new type of fish has been discovered. It has vibration receptors on its snout and virtually nonexistent eyes. Based on these characteristics, in which part of the ocean is this fish most likely found? The following costs result from the production and sale of 5,000 drum sets manufactured by Tight Drums Company for the year ended December 31, 2017. The drum sets sell for $350 each. The company has a 25% income tax rate. 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