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


Evaluate the function.
f(t)=-2t - 1; Find f(-9)

Answers

Answer:

17

Step-by-step explanation:

substitute t = - 9 into f(t) , that is

f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17

Can you guys help me find the sum TnT
(7−b)+(3b+2)

Answers

Answer:

2b+9

Step-by-step explanation:

HELP PLS i need it rn about reflections

Answers

Answer:

x = 1

Step-by-step explanation:

Factor the following.

Answers

Answer:

5. x(x+4)

6. 7x(x-3)

7. 12x(x+5)

8. 4x(2x+5)

Solve three tenths times five sevenths.

fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths

Answers

3/10 * 5/7
Multiple numerators and denominators of each

So

15/70

Therefore the answer is fifteen seventieths

Hope this helps!
Brainliest is much appreciated!

Answer:

15/70 is the answer

Step-by-step explanation:

3/10 x 5/7

3x5=15 and 10x7=70

As a result, the answer to the question is 15/70

Thank you for reading! It is my hope that you will find it helpful in some way!

What is?..
1. 8 4/7 divided by 15?

2. How many 1/4-pound hamburgers can you make from 3 1/2 pounds of ground beef ?(In simplest form)

3. 3 divided by 1 1/5 plus 1/3? (Evaluate the expression. Write the answer in simplest form.)

4. 2/5 plus 2 1/6 divided by 5/6? (Evaluate the expression. Write the answer in simplest form.)

5. 6 1/2 - 7/8 divided by 5 11/16? (Evaluate the expression. Write the answer in simplest form.)



HURRYYYYYY PLEASEEEE.

Answers

Answers:

1. 4/7

2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

3. 2 5/6

4. 3

5. 6 9/26

Option 1: 1,811 square feet, 2-3 bedroom, 2 bath house that arrives in 4 modules. It includes the upgraded PEX piping and fiber cement siding that Xavier saw on the tour. The price for Option 1 would be $180 per square foot.

Option 2: 2,600 square feet, 3-4 bedroom, 3 bath house that arrives in 5 modules. It also includes the upgraded PEX piping and fiber cement siding. The price for Option 2 is $195 per square foot.

Calculate Xavier’s transportation cost to have the modules delivered on the same day
Use this formula to calculate Xavier’s cost:

[(.20 × miles)+500]× number of modules

Answers

If the price is $180 per square foot, the price of the lot will be $3,240,000

To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)

Area of the trapzium = 1/2(a+b)h

h is the height of the trapeziuma and b are the sides

Area of the trapezium =  1/2(175+185)*100

Area of the trapezium = 1/2(360)*100

Area of the trapezium = 18000 square foot.

If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000

Learn more on area of trapezium here: https://brainly.com/question/16904048

The surface of an office desk has a perimeter of 12 feet and an area of 8 square feet. What are the dimensions of the desk?

____feet by ___feet
HELP ME PLEASEE!

Answers

Answer:

4 feet by 2 feet ig? am not quit sure

Step-by-step explanation:

we say that length=x width=y

2(x+y)=12

xy=8   x=8/y

2(8/y + y)=12

8/y+y^2=6y

y^2-6y+8=0

(y-2)(y-4), so y=2 y=4

then we input this two numbers in xy=8

so, x=4 x=2

1, y=2   x=4

2, y=4   x=2

most likely the lengths is going to be 4 so that means the width is going to be 2.

Depends. Answer can be 12 by 8 or 6 by 4

4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento

Answers

Answer:

300

Step-by-step explanation:

Let x represent number of girls.

18 girls / 30 students

x girls / 500 students

18/30 = x/500

x = 18/30 x 500

x= 300 girls

Therefore there are approximately 300 girls in the school.

The total amount Y​ (in dollars) in your savings account after buying x​ video games is represented by y=70−10x​ . You have $40 in your account after buying video games. How many video games did you buy?

Answers

Answer:

330

Step-by-step explanation:

substitute x for 40 because that is how much you have in your account.

y= 70 - 10(40)

y = 70 - 400

y = 330

Therefore you bought 330 video games!!

Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)

Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?

Answers

XxxxAnswer:

Step-by-step explanation:xdd

Using the equation F = 1.8C + 32, find the temperature in °C if it is 92°F. Round your answer to the nearest whole number if necessary.

Giving brainliest to the CORRECT answer! (Whoever answers with the explanation of how you got your answer will get brainliest but it HAS to be a correct answer)

Answers

Answer:

  33 °C

Step-by-step explanation:

Put 92 where F is in the equation, and solve for C.

  92 = 1.8C +32 . . . . substitute for F

  60 = 1.8C . . . . . . . . subtract 32

  60/1.8 = C ≈ 33.33 ≈ 33 . . . . . divide by the coefficient of C, round the result

The temperature is about 33 °C.

hey guys!! i need help on this one:)

Answers

Yes, because it contains both variables and has highest degree if variable x is 1.Yes, because it has both variables and has highest degree of x is 1. No, because the degree of x is 2.No, because x is not single(its multiplied with y) No, because x is multiplied by y when we multiply both sides with x. Yes, because root 9 is 3.

[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]

Help Ill give 100 points!

Answers

Answer:

0, 1, 1/2

Step-by-step explanation:

First you would have to make them have the same denominators.

The lowest one they share is 24.

What ever you do to the bottom you have to do to the bottom.

1/6, times each by 4.

1 * 4 = 4

6 * 4 = 24

4/24.

Now you have to do the same thnig for 5/8.

But times it by 3, since 8 times 3 is 24.

5 * 3 = 15

8 * 3 = 24

15/24

Now subtract.

15 - 4 = 11/24

the difference is close to one half.

4/24 = 1/6 is close to 0.

15/24 = 5/8 is close to 1.

Answer:

i need the points

Step-by-step explanation:

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x = 75°

Step-by-step explanation:

180° - 105° = 75°

75° = 75°

Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1

A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)

Answers

I believe that it is C
Explanation:

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ7

Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?

Answers

about 13 pages i believe

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

A' (4,4)  B' (0,0)  C' (4,0)

Step-by-step explanation:

A (3,2)  B (1,0)  C (3,0)

Translated left 1 unit: A'' (2,2)  B'' (0,0)  C'' (2,0)

dilated about origin (0,0) by scale factor of 2: A' (4,4)  B' (0,0)  C' (4,0)

whats the equation? for the problem

Answers

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?​

Answers

Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?

Answers

Answer: 6x - 4

Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

find the circumference r = 5 cm c [?] cm c=d

Answers

Step-by-step explanation:

radius of circle =5 cm

circumference of a circle =2πr

=2π×5

=10π=10×3.14

circumference=31.4 cm



Determine the range of the following graph:

Answers

Answer: -5 to 8

Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range

-2.8f+0.9f-13-8 please simplify this

Answers

Answer: -1.9f - 21

Step-by-step explanation:

Combined the like terms.

Correct me if I am incorrect.

How to find a and b in the equation below.
3(a+b)=28

Answers

Answer:

a equals  and b equals 7

Step-by-step explanation

divide both side by 3 getting a+b=(28/3)

subtract b from both sides getting a=(28/3)-b

to solve for b its the same way so b=(28/3)-a

you can then substitute

Which statement about the slope of the line is true?
It is −2 throughout the line.

It is fraction negative 1 over 2 throughout the line.

The slope from point O to point A is one-half times the slope of the line from point A to point B.

The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

Answer: Choice B) Slope is -1/2

Explanation:

Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.

slope = rise/run = -1/2

rise = -1 and run = 2

A negative rise value means we go downhill when moving to the right.

Find the product and simplify answer -3a^3(7a^4 - 5a + 5)

Answers

[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]

Ok done. Thank to me :>

Solve for B.
A= 7/8(B+C)

PLS HELP ITS TIMED

Answers

Answer:

8/7A - C = B

Step-by-step explanation:

A= 7/8(B+C)

Multiply both sides by 8/7

8/7A = B + C

Subtract C

8/7A - C = B

1 point 36. The length of a rectangle shape is 7.5 cm and the with is 3 cm. What is the area of the shape? OA A). 22.5 cm B). 23 cm O C). 22.5 cm D). 23 cm​

Answers

Answer:

A). and C). 22.5 cm

Hope it helps:)

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