Mathematics High School

(2x+1)(3x+1)=35 using quandratic equation solve​

Answers

Answer 1

Answer:

  x = {-2 5/6, +2}

Step-by-step explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

  (2x +1)(3x +1) = 35

  6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]

(2x+1)(3x+1)=35 Using Quandratic Equation Solve

Related Questions

i need answer please​

Answers

The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.

What is a right angle triangle?

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

15² + 14² = x²

225 + 196 = x²

x = √421

x = 20.5182845287

x ≈ 20.5 cm

learn more on right angle triangle here:https://brainly.com/question/3770177

Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Answers

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?

a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.

Answers

The given function is the rate of change of the water depth. therefore,

W'(t) is the second derivative.

The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.

Reasons:

The volume of water in the tank is 0 at time t = 0 (the tank is empty)

The function that gives the rate at which the depth of water in the tank is

increasing at time t > 0 is W(t).

Where;

t = The time in hours

Therefore;

W'(t), the derivative of the function of the rate at which the water in the

tank is increasing in feet per hour is the rate of increase of W(t).

Which gives;

W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.

Therefore;

W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.

Learn more about second derivative here:

https://brainly.com/question/10305010

perform the indicated operation 3 1/2 - 1 7/10

Answers

Answer: 1 4/5

Step-by-step explanation:

3 5/10 - 1 7/10 = 1 8/10

1 8/10 = 1 4/5

What value of t makes the equation true?
tx3 = 12 x 6

Answers

Answer: 24

Step-by-step explanation:

tx3 = 12 x 6

3t = 12*6

3t = 72

t = 24

Andrew loses
31 pencils in
October
What is the
lose rate per
day?

Answers

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

9. Anna has 102 quarters. Jazmin has
102 dimes. Who has more money, Anna
or Jazmin? How much more? Explain
your reasoning.

Answers

Answer:

Anna, Quarters are worth more than dimes

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

Answer:

Anna has more money than Jasmine. Anna has $25.50 while Jasmine has $10.20. There is a $15.30 difference.

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have

Answers

She will have 23 quarts

Someone plz help me :(

Answers

Answer:

c

Step-by-step explanation:

when we add 0 to x ,it remains x.

x+0=x

0 is additive identity.

Answer:

C

Step-by-step explanation:

PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!

Answers

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

6.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

8.

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?

Answers

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.

18 = 620x = 3120

x = 18 x 3120 / 620x = 56160 / 620x=  90

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

119/30
Simplified please help this is urgent

Answers

14/3 or 4(2/3) is the answer
Find the GCD (or HCF) of numerator and denominator
GCD of 119 and 30 is 1
Divide both the numerator and denominator by the GCD
119 ÷ 1
30 ÷ 1
Reduced fraction:
119
30

Therefore, 119/30 simplified to lowest terms is 14/3

Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?

Answers

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

52 × (4 + t) = 70 × t

52 × 4 = 70 × t - 52 × t = 18 × t

[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]

The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]

The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] meters

Learn more about simultaneous equations here:

https://brainly.com/question/12413726

Help help help math math

Answers

Answer:

   

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]

(6p+5)×5-6p) expansion using special algebraic identit

Answers

24p+25 is this how you want your answer

The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.

Answers

The answer is 1 & 2

1 + 1 + 2 = 4
2+2=4
1+2=3

9. On a certain day the temperature in New
York City was 4°C and the temperature
in Austin was 10°C. How many degrees
lower was the temperature in New York
City?

Answers

Answer:

it is 6°. because 10 degree - 4 degree = 6 degree

Please help!! markup and markdown word problems.

1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?

2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?

Answers

Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40

please really need helpppppppp

Answers

Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.

Answers

Answer:

2664.3

Step-by-step explanation:

Hope this helps!

Write each number as the product of two or three
prime numbers.
a) 49

b) 42

c) 63

d) 18

Answers

A = 7•7
B = 3•7•2
C = 3•3•7
D = 2•3•3

3x+4y=12 find x-intercept and y- intercept

Answers

Answer:

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

x = 4

y = 3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

slope = -0.750

help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)

Answers

Answer:

1. 0.0086

2. 0.0059

3. 0.0124

4. 0.0894

5. 0.0667

6. 4.578

7. 67.58

8. 99789.5

9. 685.31

10. 23500

Step-by-step explanation:

Use calculator or find the pattern

for problems under B, multiply the quotient by the dividend

PLS HELP!!! WILL MARK BRAINLIEST!!

Answers

Answer:

All real numbers

Step-by-step explanation:

It can go on to infinity.

Hope that helps

Which best describes how to add 9.73 and 21.6?

Answers

Answer:

31.33

Work:    

        1  1

        9.73

   + 21.60

--------------------

      31.33

Final Answer:

Therefore, 31.33 is our answer.

Hoped this helped.

please help due soon

Answers

Answer:

Your answer is A. x=6

Step-by-step explanation:

plug in 6 for x and youll get your answer

Your answer is A

Just trust

Tickets for the Valentine Dance cost $3 per person or $5 per couple. The school ticket sales totaled $824 and there were 10 less couple tickets sold than 4 times the number of single tickets.

Answers

Answer: There were 65 couples that attended the Valentine Dance.

Will mark Brainliest for the correct answer:

Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)

Answers

Step-by-step explanation:

#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponent

Let's see

Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5No

HELP!!!!! I DONT KNOW THIS

Answers

Answer:

neither

Step-by-step explanation:

exponential grows larger with each step and liner is constant

Answer:

Exponential because you don't start at 0

Step-by-step explanation:

Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.

a. How many area codes can be created if digits are allowed to be repeated?

b. How many area codes can be created if digits are not allowed to be repeated?

Answers

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

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