Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)

Answers

Answer 1
Given -

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

To solve -

➙ the given quadratic equation.

Concept applied -

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.

Solution -

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]

Solving one by one,

[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{8}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=2}}}[/tex]

________________

[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{-6}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]

________________________________

Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.

________________________________

Hope it helps!! (:


Related Questions

can you please answer this, please show work

Answers

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

What is the least common denominator of
7/9 and 17/18?

Answers

Answer:

18

Step-by-step explanation:

9 can be multiped by 2 to get to 18 :)

CHOOSE THE CORRECT ANSWER

Answers

The answer is 5 because if you do 5x4x3 that gives you 60 and since the base adds up to 12, we do 12x5 to give us 60

PLEASE HELP!
Solve for x. 4/5 = x/7 x =

Answers

Answer:

5.6

Step-by-step explanation:

4/5 = .8

so ? ÷ 7 = .8|
7 x .8 = 5.6
x= 5.6

x = 5.6

hope it helps...!!!!

What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
O 8 m
O 167 m
O 647 m
O 2567 m

Answers

Answer:

approximately V =  201 m^{3}

Step-by-step explanation:

Volume of a right circular is π[tex]r^{2} h[/tex]

R = radius of 4m

H = height of 4m

pi = approximatly 3.14

[tex]V = 3.14*4^{2}*4[/tex]

[tex]V = 3.14*16*4[/tex]

[tex]V = 3.14*64[/tex]

approximately [tex]V = 201 m^{3}[/tex]

Hope this helps :)

(If this was not the corrrect answer please give me more information)

I do not understand this

Answers

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

or

3.5 x 0.66 = 2.333

I hope this helps!

help using the digits 0 to 9 ​

Answers

Answer:

Step-by-step explanation:

Assuming you can use any digit from 0-9

You can do 5% of 260 = 13 . All of which are different digits and not the same

This is true because 260 x .05 = 13

answer the question with true or false:

Answers

Answer:

true

Step-by-step explanation:

Solve each pair of simulation equation.Giving both solutions. Multiply both equations by suitable numbers before adding/subtracting to elimination..
A) 6x-7y=9
3x+2y=54



B) 4x -5y =12
2x -3y =8


C)4x -2y=28
3x +3y=12


D)2x +5y =14
13x-11y=-83​

Answers

Answer:

Step-by-step explanation:

I haven't got time to do all these by I'll give you the method in each case.

You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.

A . Multiply  equation 2 by 2 and subtract (to eliminate x)

- don't forget to multiply EACH TERM by 2.

B. Multiply  equation 2 by -2 and add.

C.  Multiply  equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so  you then add to eliminate y.

D.  Multiply equation 1 by 13 and equation  and equation 2 by 2 to eliminate x then add.

What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative pi? y = 4 pi cosine (3 (x minus pi)) y = 3 cosine (4 pi (x pi)) y = 3 cosine (0.5 (x pi)) y = 4 pi cosine (0.2 (x pi))

Answers

The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].

What is a function?

A function is a rule that relates two variables.

The parent function is:

[tex]f(x)=cosx[/tex]

We know the period of the parent function isand the amplitude is 1.

For an amplitude of 3, we need to multiply the parent function by 3.

So, the function with amplitude 3 will be given by:

[tex]f(x) =3cosx[/tex]

For a period of 4π,  we need to make the argument of the parent function half.

So, [tex]f(x) = 3cos(0.5x)[/tex]

A horizontal shift of negative π means, f(x) will become f(x+π)

So, [tex]f(x) =3cos(0.5x+\pi )[/tex].

Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].

To get more about function visit:

https://brainly.com/question/17043948

Answer:

Option C. y + 3cos (0.5(x+ pi))

:)

what are two numbers that multiply to 64 and add to - 20

Answers

Answer:

-4 and -16

Step-by-step explanation:

Let x = first number

Let y = second number

Given:

The two numbers multiply to 64

⇒ xy = 64

Given:

The two numbers add to -20

⇒ x + y = -20

Rewrite  x + y = -20  to make x the subject:

⇒ x = -20 - y

Substitute into xy = 64 and solve for y:

⇒ (-20 - y)y = 64

⇒ -20y - y² = 64

⇒ y² + 20y + 64 = 0

⇒ (y + 4)(y + 16) = 0

⇒ y = -4, y = -16

As x + y = -20

If y = -4 then x = -16

If y = -16 then x = -4

Therefore, the two numbers are -4 and -16

Let they be a and b

a+b=-20--(1)ab=64

So

[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]

[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]

[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]

From both equations

2a=-8=>a=-4-4+b=-20b=-16

In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework

Answers

Answer:

2/9

Step-by-step explanation:

show your work please :(

Answers

Answer:

you cant see the picture

Step-by-step explanation:

Lol
The picture is too bad

Matt says that 5 - 1 1/4 will be more than 4, since 5 1 is 4. Draw a picture to prove that Matt is wrong.

Answers

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!

Answers

f(x)
-5¾-3-4 that correct

50 points, PLEASE HELP
i have a test in 2 hours i really need to know how to do this problem

25g^2 - 15gh - 28h^2

Answers

Answer:

the answer is (5g+4h)(5g-7h)

Step-by-step explanation:

25g^2-15gh-28h^2

=(25g^2+20gh)+(-35gh-28h^2)

=5g(5g+4h)-7h(5g+4h)

=(5g+4h)(5g-7h)

A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.

Answers

Considering the volume of a cone, it is found that:

The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.

What is the volume of a cone?


The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

More can be learned about the volume of a cone at https://brainly.com/question/14281550

please help with this question

Answers

Answer:

your answer is 1,-2

Step-by-step explanation:

Andy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?

Answers

Answer:

A and B

A and C

A and D

B and C

B and D

C and D

Solve the equation and enter the value of x below.
8x + 11 = 35

Answers

8x + 11 - 11 = 35 - 11

8x = 24

x = 24/8

x = 3

check

8 * 3 + 11 = 24 + 11 = 35

An electrician charges $55 an hour for labor and an initial fee of $95. The total cost c equals 55 times the number of hours x plus 95. Enter an equation for the relationship and use the equation to complete the table.

Answers

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!

Can anyone solve this?

Answers

Would it be 40.25????

Answer:

  54 cubic inches

Step-by-step explanation:

Just as the area of a triangle is half the area of a rectangle with the same dimensions, the volume of a triangular prism is half the volume of a rectangular prism with the same dimensions:

  V = 1/2(LWH)

  V = (1/2)(9 in)(4 in)(3 in) = 54 in³

The volume of Phil's block of cheese is 54 in³.

Solve the system of equations using the elimination method.
8x + y = -16
3x - y = 5

Answers

Answer:

X=-1

Y=-8

Step-by-step explanation:

8x+y=-16

3x-y=5

11x=-11

x=-1

8x+y=-16

8(-1)+y=-16

-8+y=-16

y=-16+8

y=-8

Or

3x-y=5

3(-1)-y=5

-3-y=5

-y=5+3

-y=8

y=-8

MATH MIDDLE SCHOOL ASAP due in 10 mins no explaining to do just answer thank you giving brainlist :)

Answers

Answer:

y-9=8

Step-by-step explanation:

The number of visitors p to a website in a given week over 1-year period is given by p(t)=119+(t-83)e^0.02t , where t is the week and t is greater than or equal 1 and less then or equal 52.a)over what interval of time during the 1-year period is the number of visitors decreasing?b)over what interval of time during the 1-year period is the number of visitors increasing?c)find the critical point, and interpret its meaning.

Answers

The function p(t) for the number of visitors over 1-year is an exponential function

The increasing interval is: [33,52]The decreasing interval is: [0, 33]There is no critical point

The increasing and the decreasing interval

The function is given as:

p(t) = 119 + (t-83)e^0.02t

Start by plotting the graph of the function p(t).

From the graph (see attachment), we have the parameters to be:

Increasing: [33,52]Decreasing: [0, 33]Critical point = None

Hence, the function has no critical point

Read mroe about critical points at:

https://brainly.com/question/7805334

Find the 9th term of the geometric sequence.

Answers

Answer:

7/6561

Step-by-step explanation:

nth term = a1 r^(n-1) so

9th term =  7* (1/3)^(9-1)

= 7*(1/3)^8

= 7/6561

Y=x-12, y=14 what is x I need someone to answer fast please

Answers

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

in the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5​

Answers

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} [/tex]

Note that

[tex] - 2 {x}^{ - 2} = - \frac{2}{ {x}^{2} } [/tex]

The binomial theorem states that

[tex](x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )[/tex]

Using this, we let expand our series

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20} [/tex]

[tex] \frac{1}{ {x}^{5} } = x {}^{ - 5} [/tex]

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

[tex] \binom{10}{7} {x}^{9} 2x {}^{ - 14} [/tex]

Because

[tex] = \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5} [/tex]

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

[tex]120(2) {x}^{ - 5} [/tex]

[tex]240 {x}^{ - 5} [/tex]

So the coeffceint u

is 240

Please Help 30 Points

Answers

Answer:

Step-by-step explanation:

the quotient of m and 7

Answers

the quotient of m and 7 = m/7

Other Questions
Question 2 of 5Which choice describes the shape of the data?83 84 85 86 87 88 89 90 91 92A. Symmetric; not bell-shaped oB. Not symmetric; not bell-shapedC. Symmetric, bell-shapedoD. Not symmetric, bell-shaped A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 80 feet. How long will it take to move from one end to the other? Andrea is an accountant who lives in the state of Texas. Which tax is she not responsible to pay?. helppppppppp meee too simplify this what is 3.1 converted into a simplified fraction? the autonomic nervous system controlsA. tying your shoesB. Heart Rate C. chewing a bite of foodD. using a fork How often does reapportionment and redistricting of seats occur in the House of Representatives?1.every 2 years2.every 4 years3.every 5 years4.every 8 years5.every 10 years the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month please help me solve for m I have to turn a bunch of these questions tomorrow so pleade help Which of the following are examples of habitats where sympatric speciation could occur?Choose one or more:A.different locations along the Great Barrier coral reef in AustraliaB.opposite sides of a mountain rangeC.the North Rim and South Rim of the Grand CanyonD.an elevational gradient on the south-facing slope of a mountainE.varying water depths in a lake According to the given equation, how many moles of O, are required to react with 4.71 moles of C4H10? 2C4H10 + 1302 8CO2 + 10 H pls help!! 15 points!A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m2. The surface area of the image is 315 m. The height of the pre-image is 5.8 m. What is the height of the image? Enter your answer as a decimal in the box m Why is the Eucharist so important to Christian believers? Read and write a blog. (4 points)Write a short blog entry in Spanish in complete sentences. Use the vocabulary from this lesson and the following suggestions as a guide for your answer:You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , *Note: The sample sentences in parentheses are just a guide to help you form your sentences. You must come up with your own original answers, keeping academic integrity intact.Your Spanish teacher has asked you to start a blog in Spanish. Write some basic information about your likes and dislikes using complete Spanish sentences.For your first blog, be sure to include:one sentence with a school subject you like. Remember to use the correct format and pronoun for the verb gustar. (e.g., I like chemistry class.)one sentence with a school subject you do not like. Remember to use the correct format and pronoun for the verb gustar. (e.g., I don't like math class.)one sentence stating one school supply you need for the class you don't like. Remember to use the yo form of the verb necesitar. (e.g., I need a calculator in math class.) Insert one comma to separate the coordinate adjectives. , On average, adults require approximately seven to nine hours of uninterrupted sleep each night to be healthy productive individuals; unfortunately, lack of adequate sleep can increase the chances of viral infections and other medical issues. How much space does the triangle cover?24 square cm16 square cm6 square cm48 square cm Which of the following statements is true? a. The U.S. and NC governments are very different because both levels of government are run in different waysb. The U.S. and NC governments share nothing in common due to federalismc. The U.S. and NC governments are structured in a very similar way because this makes it easier tounderstand the functions of varying levels of governmentd. The U.S. and NC governments are given the exact same powers 50:36How did the United States respond to the trend shownon this map?O The United States encouraged the spread ofcommunism.O The United States passed the Patriot Act to identifycommunists.O The United States engaged in a cold war with theSoviet Union.O The United States built an alliance with EasternEuropean nations. convert 4 hours into minuteshelpp ASAP