4y^3-9y=0 solve by factoring

Answers

Answer 1

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]


Related Questions

Which inequality does the graph represent?

Answers

Answer:

x < -y + 1

Step-by-step explanation:

find the perimeter of rectangle whose length is 5m 20 cm and breadth 3.5m​

Answers

Answer:

17.4 sq.m

Step-by-step explanation:

Given,

Length of the rectangle = 5m 20cm = 5.2m

Breadth of the rectangle = 3.5m

Therefore,

Perimeter of the rectangle

= 2(Length + Breadth)

= 2(5.2m + 3.5m)

= 2 × 8.7m

= 17.4m

Hence,

Area of the given rectangle is 17.4 sq.m (Ans)

I need help solving this problem

Answers

What is the problem you are trying to solve

❗NEED HELP ASAP PLEASE ❗

The value of -3 xy, for x= 2 and y= 3, is -18.

True False

Please give an explanation, thank you!!!​

Answers

Answer:

True

Step-by-step explanation:

-3 xy = -18

-3(2)(3) = -18

The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.

Answers

Answer:

5,5

Step-by-step explanation:

Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.

Answers

y + 2 = 4x + 2
i hope thats right

Please help me!!!! I will try to give brainliest!!!

Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Marcus cannot spend more than $50. Write and solve an inequality to find the most Marcus can spend on the items for each bag.

Starting inequality:

Ending inequality:

Answers

Answers:

Starting inequality: [tex]10(x+0.75) \le 50[/tex]

Ending inequality:  [tex]x \le 4.25[/tex]

==================================================

Work Shown:

x = amount spent per bag, ignoring the bag fee

x+0.75 = amount per bag including bag fee

10(x+0.75) = total amount spent on the ten bags

This amount cannot be more than $50. This means 50 dollars is the highest we can go, aka the ceiling value.

That means we'd write [tex]10(x+0.75) \le 50[/tex] as one possible starting inequality.

Let's solve for x

[tex]10(x+0.75) \le 50\\\\10x+7.5 \le 50\\\\10x \le 50-7.5\\\\10x \le 42.5\\\\x \le 42.5/10\\\\x \le 4.25[/tex]

The most he can spend on the items for any single bag is $4.25, which is ignoring the $0.75 fee

If we tack that fee on, then he spends 4.25+0.75 = 5 dollars per bag and ten of such bags leads to 5*10 = 50 dollars total. The answer is confirmed.

Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.

Answers

Answer:

Diego's result is the same as Noah's result.

Step-by-step explanation:

Noah: 5+5+5+5=20

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

What is the value of the expression

Answers

Answer:

C. 9

Step-by-step explanation:

K(3)=3*3=9........................

Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I

Answers

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

Answer :-

[tex]20 + h = 46[/tex]

• 46 is the sum of 20 and Han's savings. .

So here Question tell that 46 is the sum of Han's Saving .

Then it says that to write the equation in this sentence .

• Use the variable h to represent Han's savings.

So 20 and h = 20 + h = 46 .

Hope this helps you !!


When using a ruler, where is the unit?
- The tick marks on the ruler.

- The space between the tick marks on the ruler.

-The numbers on the ruler.

Answers

Answer:

Is it The numbers on the ruler?

Step-by-step explanation:

Help help help help help

Answers

X = 15+3 = 18 so yeaaaah

Answer:

x=18

Step-by-step explanation:

x - 3 = 15

+3

x=18

Need help pls! Answer asap

Answers

1. 130°

I don't remember too many specifics from my past math classes, but I always remembered this because that is an upside-down mirror of the 130° angle.

2. 50°

A straight line is 180°, and 180 - 130 = 50.

Answer:

1. 50

2. 130

Step-by-step explanation:

If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.

Therefore, resulting in number 2 being equal to angle 3.

If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.

A circle has a degree of 360, so we minus 260 from the 360.

We would get 100, so we divide it by 2.

Thus, angle 1 would be equivalent to 50.

Hope this makes sense :)

Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are

Answers

Answer: 9 11 19

Step-by-step explanation

9 11 19

Answer:

18 and 8

Step-by-step explanation:

Range= 18-8

Mean=(18+8)/2=13

Espai
A house on the market was valued at $224,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:
Current house value:

Answers

Answer:

decrease in value: 20,160

current value: 203,840

Step-by-step explanation:

that is the 9% value decrease of the house

A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard, which is 40 feet by 65 feet.
If a neighbor’s yard is 50 feet by 80 feet, what would the neighbor be charged based on how much Mr. Jones was charged?
A
$60
B
$80

C
$100

D
$120

Answers

Step-by-step explanation:

40×65=2600

2600/ 52=50

50×80=4000

4000/50=80

What is f(3) for the function f(x) = 5x + 7?

Answers

The answer would be 8

I hate to ask for help but I know that’s what you guys are here for. I’ve been stuck on this sample work for over 2 weeks simply cause I don’t understand it. Can any of you tell me the answers or help with it?

Answers

Answer:

Step-by-step explanation:

I am not sure what the first question is asking but yes y does very direction with x.

Lemme know if i can help with anything else

:)

10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.

Answers

Answer:

  10, 12, 14  or  -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

  (x-2)(x) = 92 +2(x+2)

  x^2 -2x = 92 +2x +4 . . . eliminate parentheses

  x^2 -4x = 96 . . . . . . . . . subtract 2x

  x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

  (x -2) = ±√100 = ±10 . . . take the square root

  x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

  -10, -8, -6  or  10, 12, 14

A 4​-card hand is dealt from a standard​ 52-card deck, and then one of the 4 cards is chosen at random. If only two of the cards in the hand are hearts​, what is the probability that the chosen card is a heart​?

Answers

Answer:  1/2

Explanation:

There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2

In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.

David plays baseball 18 times each month for 3 months. He also plays soccer 15 times each month for 3 months. How many more times does he play baseball than soccer each month?


Plzz help asp

Answers

Answer:

3

Step-by-step explanation:

3 months baseball = 18 x 3 = 54

3 months soccer = 15 x 3 = 45

54-45 = 9

9 / 3 = 3

David plays baseball 3 more times than soccer each month.

David plays 3 more times baseball than soccer each month.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

David plays baseball for 3 months, and each month he plays 18 times.

Also, David plays soccer for 3 months, and each month he plays 15 times.

In 3 months, David plays baseball = 18 x 3 = 54

Also, in 3 months, David plays soccer = 15 x 3 = 45

The more number of times David plays baseball than soccer

= 54 - 45

= 9

In 3 months, David plays 9 more times baseball than soccer.

In one month, David plays 9/3 = 3 more times baseball than soccer.

3 more times David plays baseball than soccer each month.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Help help math math math

Answers

Answer:

10000

Step-by-step explanation:

you have four digits and each one of them can be 0-9, so 10 possibilities for each digit

10×10×10×10= 10,000

Answer:

160

Step-by-step explanation:

I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).

which expression are of -48xyz+24xy+40xyz
A4
B24
C3X
D8Y
E2XY
F6XY
GXYZ

Answers

Answer:

I'm GUESSING you want to know which are possible FACTORS of the equation. - 48xyz + 24xy + 40xyz

IF so,

THEN

A) 4         as 48, 24, and 40 divide evenly by 4

              4(-12xyz + 6xy + 10xyz)

D) 8Y      as 48, 24, and 40 divide evenly by 8 and each term has a Y

               8y(-6xz + 3x + 5xz)

E) 2XY     as 48, 24, and 40 divide evenly by 2 and each term has a XY

                2xy(-24z + 12 + 20z)

Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?

Answers

Answer:

25.13ft

Step-by-step explanation:

The length of the fence will be the circumference.

[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]

At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?

Answers

Answer:

round to cent 20.59

Step-by-step explanation:

Which of the following is the figure most likely the graph of?

A) f(x) = (2/3)x
B)f(x) = –2x
C)f(x) = (3/2)x
D)f(x) = 2x

Answers

The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.


The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.

Answers

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km

the question in the picture​

Answers

Answer:

the answer is

[tex] {3}^{5} [/tex]

find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)​

Answers

Answer:

Step-by-step explanation:

x²+y²-2x-10y+1=0

compare with x²+y²+2gx+2fy+c=0

center is (-g,-f)

radius=√(g²+f²-c)

2g=-2

g=-1

2f=-10

f=-5

radius=(1,5)

c=1

let eq. of circle be x²+y²-2x-10y+c=0

∵ it passes through (2,-3)

2²+(-3)²-2(2)-10(-3)+c=0

4+9-4+30+c=0

c=-39

eq. of circle is is x²+y²-2x-10y-39=0

The product of two irrational numbers is
______ rational

Answers

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

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