if r and s represent the solutions of the equation below and r>s, what is the value of the difference r-s?

(3x+14)x=5

Answers

Answer 1

Answer:

16/3

Step-by-step explanation:

(3x + 14)x = 5

3x² + 14x = 5

3x² + 14x - 5 = 0

3x² + 15x - x - 5 = 0

3x(x + 5) - 1(x + 5) = 0

(3x - 1)(x + 5) = 0

x = 1/3 & -5

Here,

r = 1/3

s = -5

r - s

1/3 - (-5)

1/3 + 5

1 + 15/3

16/3

Answer 2

the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]

Answer:

Solution given:

(3x+14)x=5

opening bracket

3x²+14x=5

3x²+14x-5=0

Doing middle term factorisation

3x²+(15-1)x-5=0

3x²+15x-x-5=0

3x(x+5)-1(x+5)=0

(3x-1)(x+5)=0

either

x=-5

or

3x-1=0

3x=1

x=⅓

According to question value of x is r>s

so

⅓>-5

so

r=⅓

and

s=-5

Now

r-s=-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]


Related Questions

A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?

Answers

Answer:

1 3/4

Step-by-step explanation:

Kindly Simplify this Question

Answers

Step-by-step explanation:

(3⁵×2^-5×5^-5×2×3²)/(5⁵×3^-2×2^-2)

[3^(5+2+2)][2^(-5+1+2)][5^(-5-5)]

3⁹×2^-2×5^-10.

hope this helps you.

16. (-4, -3), (-2, 2)

Answers

Answer:

16. 5/2

Step-by-step explanation:

Rise/run

2- (-3)=5

-2- (-4)=2

rise/run= 5/2 (Five over two)

7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!

Answers

The distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

What is resolution of vectors?

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.

Given is that  body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.

[A] -

We can write the total distance covered along the slant as a function of [x] and [y] components as -

h = h[x] i + h[y] j

Now -

h[x] = 4tcos(22°)

Now -

F = ma

F = m{dv/dt}

Fdt = mdv

mg sin(22°)dt = mdv

dt = {1/g sin(22°)}dv

∫dt = ∫ {1/g sin(22°)}dv

t = v/g sin(22°)

So, we can write -

h[x] = 4 cos(22°)v/g sin(22°)

h[x] = {4v/g}{cot (22°)}

Similarly -

h[y] = 4t'cos(22°)

F = ma

F = m{dv/dt}

Fdt = mdv

N cos(22°) - mg = F

{N cos(22°) - mg}dt' = mdv

{mg cos(22°) - mg}dt' = mdv

{g cos(22°) - g}dt' = dv

dt' = dv/{g cos(22°) - g}

∫dt' = ∫dv/{g cos(22°) - g}

t' = {v/g(cos(22°) - 1)}

So -

h[y] = 4 x  {v/g(cos(22°) - 1)} x  cos(22°)

h[y] = {4v/g(cos(22°) - 1)} cos(22°)

So -

Distance travelled across the slant -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²

[2] -

Yes, it will slide down again.

Therefore, the distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

To solve more questions on resolving vectors, visit the link below -

https://brainly.com/question/17264346

#SPJ5

{Question in english language -

A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}

1.1046 rounded to the nearest whole number

Answers

Answer:

1

Step-by-step explanation:

Answer is 1

cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1

help me pliz ill give u full stars i need help quick fast pliz

Answers

Answer:

[-5, 5]

Step-by-step explanation:

A large bowl and a small bowl both contain gems. of the gems in each bowl are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

Answers

You don’t say how many of the gems in each bowl are red. With this information, all of the gems in the third bowl are red.

WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE

Answers

Answer:your mom

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Any value multiplied by Zero gives Zero, therefore ~

[tex] \sf62729287937927497393884 \times 0 = 0[/tex]

Is there a proportional relationship between category 1 and Category 2 in the table below

Answers

Answer: Please upload the image or PDF.

Ajug contains 42 liters of milk. How
many milliliters of milk does it contain?
420 mL
B
4,200 mL
42,000 mL
4.2 mL

Answers

Based on the information given the number of milliliters of milk does it contain is 42,000 mL.

1 liter=1000 ml

Using this formula

Number of milliliters=Number of liters×1,000 ml

Where:

Number of liters=42 liters

Let plug in the formula

Number of milliliters=42 liters×1,000 ml

Number of milliliters=42,000 ml

Inconclusion  the number of milliliters of milk does it contain is 42,000 mL.

Learn more about milliliters here:https://brainly.com/question/1295017

what is the reasoning of 9 +10 is 21?

Answers

The correct answer is 19

Answer:

the reasoning is incorrect.

Step-by-step explanation:

9+10=19.

Which problem would you use the following proportion to solve for?

24/x = 40/100

A. What is 40% of 24?
B. Twenty-four is 40% of what number?
C. What percent is 24 of 40?
D. Forty percent of 24 is what number?

Answers

Answer:

B

Step-by-step explanation:

40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x

if the discriminant is negative how many solutions are there

Answers

Answer:

  no real solutions

Step-by-step explanation:

If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.

When the discriminant is negative there are no real solutions, but there are two complex solutions.

trinomios de 6x 2 + 13 x + 5 ​

Answers

Answer:

77

Step-by-step explanation:

6x2 = 12

13x5 = 65

65+12 = 77

The answer is 77.

Initial value of 100 increasing at a rate of 5%

Answers

Step-by-step explanation:

105 is now total final value

Answer:

105..................

Help please. Been stuck for a few mins now.

Answers

Answer:

p = -3v: (4, -1)f: (4, -4)d: y = 2

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Solve for x. 7x+8>4x+4​

Answers

Answer:The inequality is x > -4/3.Step-by-step explanation:7x + 8 > 4x + 4​=> 7x - 4x > -8 + 4​=> 3x > -4=> x > -4/3Conclusion:

Hence, the inequality is x > -4/3.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x > - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

7x + 8 > 4x + 4 ( subtract 4x from both sides )

3x + 8 > 4 ( subtract 8 from both sides )

3x > - 4 ( divide both sides by 3 )

x > - [tex]\frac{4}{3}[/tex]

If 35 liters of petrol cost $21.00, what is the price per liter?

Answers

Step-by-step explanation:

if 21 dollars = 35 liters

the ? dollars = 1 litre

it will be less so more which is the 35 divides

so we have

1/ 35 ×21

21/35

0.6

When you subtract a number, you get the same results as when you add the opposite number. Why?

Answers

Answer:

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

How i can asnwer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

can anyone answer this?

Answers

Answer: Would you like all of them?

Step-by-step explanation:

I NEED HELP WITH MATH PLEASEEE??!

Answers

Answer:

  y = -x +2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -5)/(-4 -(-3)) = 1/-1 = -1

The y-intercept can be found from ...

  b = y -mx

  b = 5 -(-1)(-3) = 2

The slope-intercept equation for the line is ...

  y = mx +b

  y = -x +2 . . . . use the values of m and b we found

What forms of the following equation in?

​ 2x+3y=15

Answers

This one would be 0
it looks to me that the equation is in standard form

for future reference, standard form is written in the format of: Ax+By=C

sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?

Answers

Answer:] ):::::::::::

Step-by-step explanation:

solve the systems of equations using substitution

y = -3x + 5

5x - 4y = -3

Answers

X = 1
y = 2

hope it helps good luck
X=1
Y=2
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
X=1
Y=-3(1)+5
-3+5
Y=2

P^2 x 2p^4 x q x q^2

(m^2 x m^4) ÷ m^5 x m^2

Answers

Answer:

[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]

[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]

A?
B?
C?
D?

Number 10 on conexus <3
If correct I’ll give brainlest

Answers

D lol exactly yiu yeah arte yr

Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.

A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.

Answers

Answer:

5n+p>40

n+p<20

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.

The system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 20

0.01p + 0.05n > 0.40

Let's represent the number of :

pennies = p

nickels = n

It is important to also note that:

1 penny = $0.01

1 nickel = $0.05

40 cents can also be written as: $0.40

Jada has p pennies and n nickels that add up to more than 40 cents.

The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:

$0.01 x p + $0.05 x n > $0.40

0.01p + 0.05n > 0.40

She had fewer than 20 coins altogether.

The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:

p + n < 20

Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 200.01p + 0.05n > 0.40

Correct answer is  p + n < 20 0.01p + 0.05n > 0.40

_____________________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
account. How much will she need to save weekly to meet her goal?

Answers

Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

I don’t know but it’s about 400 or 450

Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane

Answers

Answer:

5/10 more

Step-by-step explanation:

Other Questions
30 POINTS!I wrote a research essay about clothing during the civil war, and this is my conclusion:"Obviously, we do not look outside today and see women wearing 15 foot skirts, men with tailcoats, or young children in calico dresses. But like much of fashion today, these were prevalent during the current time period. Trends die, and popular fashions of the decade fade away. In another 20 years, the clothes we wear everyday will be considered old fashioned. "SO I JUST NEED SOMEONE TO HELP ME FINISH IT, LIKE A FINAL SENTENCE. YOU DO NOT NEED TO WRITE ANYTHING LONG. If you dont know how to help do not answer. Thank you! Find the Area andCircumference of thecircle below. Use 3.24 for .A=C= 22= -11k what does k equal Free morphemes are? A lexical and inflectional. B functional and derivational C functional and inflectional. D lexical and functional A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set? X cube+6x-16=0find all solutions by factoring.answers (-2,8)(-8,2)(2,8)(-8,-2) ANSWER FOR BRAINIEST!!!How do you answer this and what did I do incorrectly? Need help will give brainleist Fill in the BlankComplete the sentence.Computer-aided design (CAD) is a(n) ______ of hardware and software that engineers use to design products and systems. Identify the type of FIGURATIVE LANGUAGE"A cold wind rushed up the staircase."OsimileO metaphorO alliterationO personification What was a result of the Whiskey Rebellion?A. The government agreed to immediately remove the tax on whiskey.B. Washington gave up his role of commander in chief.C. The federal government asserted its authority.D. Farmers overthrew the state government in Pennsylvania. HELLPPP ME PLZZZ ILL GIVEE BRAINLIEST!!!! The table shows four transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers. graph { (2/3) (2,4) (-3/4)} PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSSxcos(2x)dx Thesis Statement: Our local waterways are severely polluted, and actions must be taken to reduce the runoff that contributes to this pollution.Which of the following is the best example of a topic sentence for an essay with this thesis?1) Rain gardens are particularly useful near solid surfaces such as parking lots.2) Rain gardens are located in 30 percent of the residential parkways in Allentown, Ill.3) Rain gardens include plants and materials that help absorb water into the ground before it is washed into sewers.4) Rain gardens are a natural way to reduce storm water runoff that pollutes local waterways whirl a rock at the end of a string and it follows a circular path. if the string breaks, the tendency of the rock is to: HellO! Heres a question!What is Facial Dysmorphia and how can it affect humans? How do you divide 35 and 97.3 Write sentences using ir a with the information provided. Follow the model.