solve 2x^2+x-6=0

1. {-3/2, 2}

2. {}

3. {-2, 3/2}

Answers

Answer 1

Answer:

3. {-2, 3/2}

Step-by-step explanation:

[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]

[tex]\sqrt{a^1-4*2(-6)=7}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]

[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]

[tex]x=\frac{-1+7}{2*2}:-2[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3}{2},\:x=-2[/tex]

~Learn with Lenvy~

Answer 2

Answer:

Step-by-step explanation:

answer- {-2, 3/2}

steps are in the image.

Solve 2x^2+x-6=01. {-3/2, 2}2. {} 3. {-2, 3/2}

Related Questions

What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? StartFraction 1 Over 343 EndFraction One-seventh 7 49.

Answers

The quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

What is the quotient?

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,

[tex]\dfrac{7^{-1}}{7^{-2}}[/tex]

Let the quotient of this division is n. Therefore,

[tex]n=\dfrac{7^{-1}}{7^{-2}}[/tex]

A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,

[tex]n=\dfrac{7^{2}}{7^{1}}\\n=7[/tex]

Hence, the quotient of the number given number  7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

C

Step-by-step explanation:

C

Find the area of the triangle below:

Answers

Answer:

9 cm^2

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2*b*h (b: base, h: height)

The base is given as 3 and height is 6 so

1/2*3*6 = 9 cm^2 is the answer we are looking for.

Among the 20 pirates of the Flightless Folly
crew, 4 of them own a pet crab each. What
percentage of pirates on board the ship own
a pet crab?

Answers

Answer:

20 percent

Step-by-step explanation:

4/20 or 1/5 or 20 percent

Which of the following is the best estimate for the direction of the given vector?
A. 60° N of E
B. 60° E of N
C. 60° W of S
D. 60° S of W

Answers

Answer:

A. 60-degrees N of E because it is closer to the east than the north.

Step-by-step explanation:

Solve the equation.
-36= -6(2x-14)

1. 10
2. 1.8
3. 24
4. 4

isn’t it some crazy long number?

Answers

The answer to your question is 4

an art teacher had 2/3 gallon of paint to pour into containers. if he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?

1
SEE ANSWER

Answers

Answer:

6 containers

Step-by-step explanation:

        This problem is asking us to divide the total 2/3 gallons by the 1/8 gallon of paint being poured into each container.

Given:

[tex]\frac{2}{3} /\frac{1}{8}[/tex]

"Keep, change, and flip:"

[tex]\frac{2}{3}*\frac{8}{1}[/tex]

Multiply across:

[tex]\frac{2*8}{3*1} =\frac{16}{3}[/tex]

Simplify:

5 [tex]\frac{1}{3}[/tex]

        Since the problem is counting the one partially filled, we round 5 [tex]\frac{1}{3}[/tex] up to be 6 containers with paint in them.


Solve By Substitution

The senior classes at High School A and High School B planned separate trips to the water park. The senior class
at High School A rented and filled 14 vans and 16 busses with 1086 students. High School Brented and filled 10
vans and 13 busses with 870 students. Every van had the same number of students in it as did the busses. Find
the number of students in each van and in each bus.​

Answers

can u take a picture of the whole entire paper again please ? i can’t see all of it .

i need help ASAP!!!!!

Answers

Answer:

The correct answer should be 4

Help please
​(3/5)^2​

Answers

[tex]( { \frac{3}{5} })^{2} [/tex],

[tex] \frac{9}{25} [/tex]

is the answer

Answer:

(3/5)by2

Step-by-step explanation:

3/5

3*3=9

5*5=25

9/25

Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next

Answers

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of 2unit(s) left and reflected across the x-axis.

Step-by-step explanation:

Which would be used to solve this equation? Check all that apply.
1. subtracting 3 from both sides of the equation
2. multiplying both sides of the equation by 3
3. dividing both sides of the equation by 3
4. substituting 4 for p to check the solution
5. substituting 36 for p to check the solution

Answers

whats the equation ?

What is 5.72x10^3 in standard form

Answers

Answer:

0.00572

Step-by-step explanation:

pretty sure thats the answer

Find the values of the missing arc or find x

Answers

Answer: x=3

Step-by-step explanation:

Round 324,145
to the nearest
hundred thousand.

Answers

Answer:

320,145

Step-by-step explanation:

Anything under 5 goes down and anything above 5 goes up.

Answer:

300,000

Step-by-step explanation:

Given the following question:

[tex]324145[/tex]

To round to the nearest hundred thousand of this number we must first find the hundred thousand place value and then determine if the number next to that place value is greater than five, if so, we can round the number up.

[tex]324145[/tex]
[tex]PV=3[/tex]
[tex]2 < 5[/tex]
[tex]=30000[/tex]

Rounded to the nearest hundred thousand "300,000" is your answer.

Hope this helps.

pls helpppppppppppppp

Answers

Answer:

-1/36

Step-by-step explanation:

-5/18  - ( -1/4)

Subtracting a negative is like adding

-5/18 + 1/4

Getting a common denominator of 36

-5/18 *2/2 + 1/4 *9/9

-10/36 + 9/36

-1/36

Find two integers with a product of −40 and a sum of −3.

Answers

1.) Two numbers have a sum of 3 and a product of -40. Find the numbers.
= 8,-5
8(-5) = -40
8 + (-5) = 3

Form the perfect square trinomial in the process of completing the square. what is the value of c? x2 3x c = startfraction 7 over 4 endfraction c c =

Answers

While making a perfect square for the given quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] the value of c is 9/4

It is given that the quadratic equation  [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] while forming the perfect square.

It is required to find the value of c.

What is a quadratic equation?

It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:

[tex]\rm ax^2+bx+c=0[/tex]  where [tex]\rm a\neq 0[/tex]

We have a quadratic equation:

[tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex]

We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:

[tex]\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\[/tex]

So, the value of 'c' would be:

[tex]\rm c=(\frac{b}{2a})^2\\[/tex]  here b=3 and a=1 by comparing the equation to the standard equation.

[tex]c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}[/tex]

Thus,  while making a perfect square for the given equation the value of c is 9/4

Know more about the quadratic equation here:

https://brainly.com/question/2263981

Answer:

9/4

Step-by-step explanation:

correct on edge

Can someone help with the third one

Answers

Answer: 45%

Step-by-step explanation:

27/60 squares are covered

I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.

Evaluate the piecewise function for f(-2).
A. -15
B. -13
C. 11
D. 17

Answers

B. -13 dbdhsbdbbsbdbd
The answer would be B.)

1. In this scale drawing of Mr. Sanchez's garden,
each square represents 1 square meter. What
is the perimeter of the garden?
A. 36 meters
C. 48 meters
B. 45 meters
D. 51 meters
Garden

Answers

Answer:

A 36 meters

Step-by-step explanation:

the perimeter is the sum of all sides around the object.

and 1 m² is a square with 1m side length.

so, we only need to count the bordering squares.

we have

12 + 3 + 3 + 5 + 2 + 3 + 3 + 5 = 36 m

I guess, we are only doing the first drawing, right ?

A teacher has a treats bag with eleven different types of candy/chocolate inside. What is the minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked?

Answers

The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.

How to find the minimum number?

So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.

There are 11 types of candy in the bag.

Now, suppose the next thing.

First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.

Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.

Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.

Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).

From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.

If you want to learn more about counting, you can read:

https://brainly.com/question/26953669

Two times a number divided by seven if forty. Express this sentence using algebraic symbols.

Answers

Answer:

(2x)/7=40

Step-by-step explanation:

number is x

(2x)/7

=40

HELP! Simplify

3/14[tex]\sqrt{98}[/tex]

Answers

Here is the problem simplified, todo this you
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real

Find the area. Help please!!!! ​

Answers

30 because since the 2 shapes are just cut in half perfectly both shapes will be 15 and 15+15 = 30

Bus A stops at a certain bus stop every 25 minutes. Bus B stops at the same stop every 40 minutes. If both buses are at the bus stop at 9:30 a.m., when is the next time they will be there together again? A. 12:20 p.m. B. 12:50 p.m. C. 1:10 p.m. D. 1:30 p.m.​

Answers

Basically we are finding the least common multiple of 40 & 25:

25 : 1,25,50,75,100,125,150,175,200

40: 1,40,80,120,160,200

They will meet again after 200 minutes.

[tex]x = \frac{200}{60} = 3 + \frac{20}{60} [/tex]

So they will meet again after 3 hours and 20 minutes;

9:30 + 3:20 = 12:50 p.m.

That's your answer

The next time where both bus A and bus B are together at a stop is

12:50 pm.

Given,

Bus A stops at a certain bus stop every 25 minutes.

Bus B stops at the same stop every 40 minutes.

If both buses are at the bus stop at 9:30 a.m.

We need to find when is the next time they will be there together again.

How many minutes in one hour?

1 hour = 60 minutes.

Find the total minutes traveled by bus A after 8 stops.
We have,

1 stop = 25 minutes

Multiplying by 8 on both sides.

8 x 1 stop = 8 x 25 minutes

8 stops = 200 minutes

We see that at the 8th stop bus A has traveled for 200 minutes.

Find the total minutes traveled by bus B after 5 stops.
We have,

1 stop = 40 minutes

Multiplying both sides by 5.

5 x 1 stop = 5 x 40 minutes

5 stops = 200 minutes

We see that at the 5th stop bus B has traveled for 200 minutes.

We can say that after 200 minutes of traveling each bus has stopped at the same place.

We have,

Both buses are at the bus stop at 9:30 a.m.

So,

60 minutes = 1 hour

200 minutes

= 60 minutes + 60 minutes  + 60 minutes  + 20 minutes

= 3 hours 20 minutes

So,

9:30 am + 3 hours 20 minutes

= 12:50 pm

Thus the next time both the buses are together is 12:50 pm.

Learn more about finding the time when two buses leave the stop together here:

https://brainly.com/question/199965

#SPJ2

               

1/cosec theta-cot theta-1/sin theta =to prove 1/sin theta-1/cosec theta+cot theta​

Answers

Answer:

wat is dat about? :3

what is 30% of 90???

Answers

Answer:

30 percent of 90 is 27

Answer:

27

Step-by-step explanation:

What is 30 percent (calculated percentage %) of number 90? Answer: 27.


helpppppppppppp meeeeee

Answers

Start by labeling the lines going up by 1 and going over one and then plot the coordinates.

please help asap I'm not sure how much time I have

Answers

tan 37,4 = opposite/adjacent

tan 37,4 = x/12,8
• then multiply both sides by 12,8

12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)

Second one:

if you answer this correctly, i will give you a Brainly :D

Answers

Answer:

trapizoide

Step-by-step explanation:

Other Questions
A person who drives under the influence of alcohol or drugs _____________. Match the three impressions with the cars that most likely created them.What can you hypothesize about the red pickups tires? Could this have anything to do with the accident? Explain your answer. (two to four sentences)A red pickup fitting Freds description was later seen running a stoplight. Police pulled it over for a check. Its tire impressions looked like this:A single tire tread mark which appears worn on the outside edgesBased on the evidence, do you think this was the same red pickup that rammed the Camaro? Why or why not? (one to two sentences) Which is the function of space observatory technology?classify objects in spacecollect soil and rock samplescarry astronauts and equipmentcapture panoramic surface images car that is moving with a speed of 36 m/s brakes to a stop in 12 seconds. Calculate the acceleration ofthe car during the braking Which of these is a historic real-world simulation game?jugglingarcherygolftag A bicyclist going 35 mph can make it from 1st Street to the Boston Eatery in 45 minutes. How long (in minutes and seconds) will it take a motorcyclist going 40 mph? A right triangle has one angle that measures 15. What is the measure of the other acuteangle? the output is 5 less than the input Paheli accidently placed her hand over a flame and immediately pulled it back . She felt the sensation of heat and reacted due to the action of?PLZ ANSWER QUICK!!! Choose the words or phrases that correctly complete the sentence. Two boys are holding onto the ends of a long piece of string, and they move it up and down to make a wave. They begin to move the string faster and faster. When they move the string, the energy (remains the same / increases / decreases) and the frequency (decreases / increases / remains the same). A) increases, increases B) remains the same, remains the same C) decreases, decreases D) increases, decreases 5. How can you justify your answer? What is the value of the axis of symmetry?y = 3x + x The following sentence communicates a(n) __________ tone."Now is the time to lift our national policy from the quicksand of racial injustice to the solid rock of human dignity." (5 points)scoldingdisappointedurgentpassionate what stance did monroe take on intervention in latin america The Etowah mounds give scientists a wonderful view of life in America before recorded history. The state of Georgia currently owns the historic site, which many visitors enjoy each year. Future research at the mounds may uncover even more information about American history. According to the author, what effect do the mounds MOSTLY have on current society? what is the significant figures in 9.7000 How do investments in human capital help improve a nation's economy?A.by reducing the efficiency of productionB.by improving the job skills of the populationC.by improving access to natural resourcesD.by reducing competition between businesses it is primarily religious in nature Compare nationalist movements in Italy and Germany, which statement below accurately reflects the path of Italy and Germany?Question 5 options:Germany was united under Otto von Bismarck, but Mazzini, Garibaldi and Victor Emmanuel II failed to unite Italy.Neither Italy, nor Germany wanted to be united nations.Germany was united under the leadership of Mazzini, Garibaldi & Victor Emmanuel II, while Otto von Bismarck of Italy wanted to make Prussia more powerful and draw the remaining Italian states from Austria's control.Italy was united under the leadership of Mazzini, Garibaldi & Victor Emmanuel II, while Otto von Bismarck of Germany wanted to make Prussia more powerful and draw the remaining German states from Austria's control. Which compound, in the liquid phase, conducts electricity best?