Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Answers

Answer 1

Answer:

y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]


Related Questions

Which equations have 8 as a solution?
15-n=7 n + 3 = 12 4n = 32
64 : n = 8
Select all the equations that have 8 as a solution.
A. 15-n=7
B. n + 3 = 12
C. 4n = 32
D. 64:n = 8

Answers

Which equations have 8 as a solution?
Answers:
15 - n = 7
-15 -15

-n = -8
n = 8
4n = 32
n = 8

Select all the equations that have 8 as a solution.
Answers:
A and C
Explanation is above.

Hope this helps!

Answer:

The equations 15 - n = 7, 4n = 32, and 64 : n = 8 have 8 as a solution.

Step-by-step explanation:

Each equation will have work shown below :

15 - n = 7

For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to subtract and the inverse operation of that is addition. Since the original operation is subtraction, we need to add it by a negative sign to each side. In order to isolate the variables, we have to add -7 to both sides.

  15 - n = 7

+ -7      + -7

   8 = n

The right side has a sum of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.

4n = 32

For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to multiply and the inverse operation of that is division. In  order to isolate the variables, we have to divide 8 to both sides.

4n = 32

/4     /4

 n = 8

The left side has a quotient of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.

This is a ratio which is basically just the operation of division. For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to divide and the inverse operation of that is multiplication. Since the original operation is division, we need to multiply it by the reciprocal to each side. In order to isolate the variables, we have to multiply 1/8 to both sides.

 64 : n = 8

* 1/8     * 1/8

  8 = n

The right side has a product of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.

Tom made the box plots to compare the number of calories between his morning snacks and his afternoon snacks.

Select from the drop-down menu to correctly complete the statement.



The range of calories in Tom’s morning snacks is about ______ ______ the range of calories in his afternoon snacks.
Answer Choices:
a). 25 a). less than
b). 60 b). more than
c). 100
d). 125

Answers

Answer:

80 less than

Step-by-step explanation:

Ayudenme no le entiendo :(
Help I don't understand :(​

Answers

Answer:

65 degrees

Step-by-step explanation:

90 - 25 = 65

Answer and Step-by-step explanation:

To find x, we need to subtract all of the other angles from 180.

180 - 25 = 155

155 - 90 (that's the right angle) = The answer is 65.

The other way to find x is be subtracting 25 from 90, since 25 and x, when added together, forms a right angle, which is 90.

#teamtrees #PAW (Plant And Water)

PLEASE I NEED HELP READ ALL Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.

Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.

Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.

choices are too small and too large

Answers

Glasses are in a cylinder shape.
Volume of a Cyclinder is:
V = pi x r^2 x h

pi = 3.14

GLASS A
h = 2.1in.
d = 5in.

r = d/2
5/2 = 2.5
V = pi x 2.5^2 x 2.1
V = 41.2in.

GLASS B
h = 2.7in.
r = 4.6in.
V = pi x 4.6^2 x 2.7
V = 179.5in.

GLASS C
h = 3.1in.
r = 2.7in.
V = pi x 2.7^2 x 3.1
V = 71

Adult tickets to the aquarium cost $16
each. If the aquarium marks the ticket
price up 20%, how much will a group of
5 eduils pay for tickets?

Answers

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

Find tan theta if 90 < theta < 180, and csc theta = 5/4.
a.-4/3
b.-3/5
c.4/5
d.3/4

Answers

The answer is C.4/5.

Answer:

It’s A -4/3

Step-by-step explanation:

Got it right on edge

Help asap plz and thank you

Answers

Answer:

A

Step-by-step explanation:

z, duehdhdhd 2747 36veuend

I AM GIVING OUT BRAINLIST
answer all those

Answers

Answer:

18.71  19  18.71

Step-by-step explanation:

A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the researcher have after 7.3 days if they started with 650 bacteria?

Answers

Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

(CHALLENGE QUESTION FOR ALL OF YOU):

What is the most beautiful mathematical equation?

*Requirements:
1. You need to write the equation
2. You need the Name.
3. Explain why it is the most beautiful​

Answers

Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

The freezing point of neon is about -249c . The freezing point of chorine is about 148c higher. What is the approximate freezing point of chlorine?

Answers

Answer:

-101 c.

Step-by-step explanation:

-249 + 148

= -(249 - 148)

= -101 C.

The approximate freezing point of chlorine is -101°C.

We have,

The freezing point of neon is about -249c .

The freezing point of chorine is about 148c higher.

To find the approximate freezing point of chlorine, we add 148°C to the freezing point of neon:

= -249°C + 148°C

= -101°C

Therefore, the approximate freezing point of chlorine is -101°C.

Learn more about Integers here:

https://brainly.com/question/30168966

#SPJ6

What is the value of cos Tan
cos(Tan-'1)?
A.2
c. 2 radical 2
b. Radical 2
d.Radical 2 over
2



Answers

the answer would be D

PLEASE HELP
What is the value of y in this equilateral triangle?

Answers

Answer:

5y-15=180

5y=180+15

5y=195

5y÷5y=195÷5

y=39

Find x so that w is parallel to v.

Answers

Step-by-step explanation:

the illustration is not with the question

PLSSS HELPP REWARD BRAINLIESTTT

Answers

Answer:

x=-7 y=-2x²-4x-5

Step-by-step explanation:

A restaurant offers three types of meats: chicken, beef,
and pork. The waiters surveyed 50 customers at random
about their favorite type of meat. The results are listed in
the table and on the graph below. If the restaurant
orders 400 pieces of meat, how many pieces should be
chicken?

Answers

Answer:

200

Step-by-step explanation:

If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.

If [tex]\frac{50}{chicken}[/tex] = [tex]\frac{50}{25}[/tex] = [tex]\frac{1}{2}[/tex], then [tex]\frac{400}{chicken}[/tex] = [tex]\frac{400}{2}[/tex] = [tex]2[/tex]

I hope that makes sense :)

There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar

Answers

Answer:

both jars contain 12 marbles

for the first jar the probability is 4/12 which is 33%

for the second jar the probability is 6/12 which is 50%

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

theres 12 mables in each jar in this situation.

Arelli is 12 5 6 years old. Carl is 1 1 3 years younger than Arelli and Jane is 1 1 4 years younger than Carl. How old is Jane?

Answers

Answer:

10 1/4

Step-by-step explanation:

Carls age = 12 5/6 - 1 1/3

12 5/6 - 1 1/3

11 (5 - 2) / 6 = 11 3/6

Jane's age = carl's age - 1 1/4

11 3/6 - 1 1/4

10 (12 - 6) / 24 = 10 6/24 = 10 1/4

Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for π. Round your answer to the nearest tenth.

Answers

Answer:

848 is the answer

The volume of the cone is approximately 282.74 cubic centimeters.

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The formula for the volume of a cone is V = (1/3)πr²h,

where r is the radius of the base and h is the height of the cone.

Substituting the given values.V = (1/3)π(9 cm)²(10 cm)

V = (1/3)π(81 cm²)(10 cm)

V = (1/3)π(810 cm³)

V = (270/3)π cm³

V = 90π cm³

V ≈ 282.74 cm³ (rounded to the nearest tenth)

Therefore,

The volume of the cone is approximately 282.74 cubic centimeters.

Learn more about cones here:

https://brainly.com/question/13798146

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DOES ANYONE KNOW WHAT THUS WOULD BE !!!?

Answers

Answer:

120cm^3

Step-by-step explanation:

With the radius of 6, multiply 6 by itself to square it.

36

Then multiply that by the height of 10

360

Lastly divide by 3

120cm

Answer:

120

Step-by-step explanation:

Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2

Answers

Answer:

c) x ≈ −2 and x ≈ 1.67

Step-by-step explanation:

Solve 3x²+ x - 10 = 0.

We solve using Almighty formula

-b ± √b² - 4ac/2a for equation: ax² + bx + c

where a = 3, b = 1, c = -10

Hence

-1 ± √1² - 4 × 3 × -10/2 × 3

-1 ± √1 - (-120)/6

-1 ± √1 + 121/6

-1 ± √121/6

-1 ± 11/6

Hence:

-1 - 11/6

-12/6 = -2

-1 + 11/6

= 10/6

= 1.67

Therefore, x = -2, x = 1.67

Option c) x ≈ −2 and x ≈ 1.67 is the correct answer

PLZ SOMEONE HELP I NEED IT DONE

Answers

1. 114 2. 244 3. 90 4. 226 5. 228 6. 454

Karen took out a loan for $725 with a 2.5% interest rate that is compounded annually. No additional money will be deposited or withdrawn from the account. How much in interest will Karen pay back at the end of 18 months?

Answers

Answer:

$29

Step-by-step explanation:

You divide 2.5 by 100 the you multiply that by 725 and sense its months it would be converted to 1.6 so you multiply 725 1.6 and the answer to 2.5 divide by 100

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

If you are looking for x your answer will be x=2

a cylindrical jar of jam has a diameter of 6cm and a height of 8 cm. if the jar is 70% full of jam how many cubic centimeters of jam are in the jar? Please answer correctly

Answers

Answer: 158.26cm³

Step-by-step explanation:

First, we.need to calculate the volume of the cylinder and this will be:

Volume = πr²h

Volume = 3.14 × 3² × 8

Volume = 3.14 × 9 × 8

Volume = 226.08cm³

Since the jar is 70% full, the volume will be:

= 70% × 226.08cm³

= 0.7 × 226.08cm³

= 158.26cm³

Note:

Radius = Diameter/2 = 6cm/2 = 3cm

PLEASE HELP ASAPPPP ( NO LINKS )

Answers

Answer:

1.

a.

i & iii

b.

ii & iii

2.

a.

2.5 or 5/2

b.

12.9

c.

12

d.

11/4

e.

4

3.

I cant help u w/ this one

4.

a.

.424

b.

.0082

5.

Yes both their methods works.

Step-by-step explanation:

Trust me

Answer: Question 1 : x + 3 = 14 and x = 14 - 3

Question 2: y/5 = 60 and y = 60 x 5

Solve each eqaution

2x = 5 : answer : x = 5/2

y + 1.8 = 14.7 (subtract 1.8 on each side) : answer = 12.9

6 = 1/2z (combine terms) Answer 12

3 1/4 = 1/2 + W (Convert mixed numbers to improper fractions) answer = -1 9/13

2.5t = 10 : answer : 4

2.5t-(10)=0

t=10/2.5

(For 3 I can't draw the diagram asked. sorry)

21.2 - 0.82 = 20.38

2.05 x 0.004 = 0.00820.

Lin is right. Jada method 60 divided by 4 (1/4 of 60) which gives you 15. Andre method: 25/100 x 60 = 50.

Hoped this helped

Step-by-step explanation:

36x+27y in factored form

Answers

9(4x+3y) there you go

. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.

Answers

Answer:

x = 30

Step-by-step explanation:

These angles form supplementary angles meaning they add up to 180°.

[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]

does the letter v contain a corresponding angle?

Answers

I think you forgot the photo

The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid

Answers

Answer:

110 yards^3

Step-by-step explanation:

volume of a  triangular pyramid=  1/3 area x height

1/3 x (22) x 15 = 110 yd^3

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