Solve the quadratic equation. x2+x−6=0

Answers

Answer 1

Answer:

The value of x is -3 and 2.

Step-by-step explanation:

First, you have to elaborate the equation :

[tex] {x}^{2} + x - 6 = 0[/tex]

[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]

Next, you can factorize it by taking out the like-terms :

[tex]x(x - 2) + 3(x - 2) = 0[/tex]

[tex](x + 3)(x - 2) = 0[/tex]

Lastly you have to solve it :

[tex]x + 3 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Answer 2

Answer:

[tex]x = 2[/tex] or (look down)

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]

Answer:

[tex]x = -3[/tex]


Related Questions

Find the volume of a cone with radius 12 yd and height 4 yd. Use 3.14 for π. Compare the volumes of the two cones. Use pencil and paper. Pick different values for the radius and height and calculate the volume of two cones like the ones described here. Compare the volumes of these cones.

Answers

Answer:

Volume is 602.88

Step-by-step explanation:

Here, we are asked to

calculate the volume of the cone.

Mathematically, to do this, we need to use the formula for finding the volume of cone= 1/3 * pi *r^2 * h

now we know that radius is 12 yards and height 4 yards. Plugging these values we have;

V = 1/3 * 3.14 * 12^2 * 4

V = 602.88 inches^3

SHOW WORK FOR BRAINLIEST!
Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 3 and 136 3, respectively. The height of N is 18 . Find the corresponding height of M.

Answers

Answer:

9 cm

Step-by-step explanation:

Volume of M= 17cm^3. Volume of N=136cm^3

Volume of N/Volume of M = k^3

136/17=8

Cube root of 8 =2

Now we know that k=2.

Height of N/2 =height of M

18/2= 9

Therefore, the height of M=9

help me me pl i do not under stand

Answers

Answer:

1/3 plus 5\6 si equal to 7\6

Step-by-step explanation:

1\3 X 2 is equal to 2\6 add it to 5\6 it will equal 7\6

Answer:

the correct answer is 2/6+5/6=7/6.

Step-by-step explanation:

hope this helps!

Please help the question is in the picture

Answers

Answer: D: Parallel to the base

Step-by-step explanation:

Answer:

the answer should be D if i am wrong please tell me.

Step-by-step explanation:

Plz help me!!

The data below represents the number of medals won by the top ten countries in the 2014

Winter Olympics. If the mean is 20.4 and the standard deviation is 7.9, circle all values that

fall within one standard deviation of the mean.

6, 11, 15, 17, 19, 24, 25, 26, 28, 33

Answers

Answer:

You should circle:

15, 17, 19, 24, 25, 26, 28

Step-by-step explanation:

The values x that falls within 1 standard deviation of the mean are those which.

[tex]|x - 20.4| \leq 7.9[/tex]

6

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

11

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

15

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

17

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

19

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

24

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

25

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

26

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

28

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

33

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.

A cookie jar contains 3 chocolate chip cookies, 4 oatmeal raisin cookies, and 5 sugar cookies.
Event A = drawing a chocolate chip cookie on the first draw
Event B = drawing an oatmeal raisin cookie on the second draw
If two cookies are drawn from the jar, one after the other and not replaced, what is P(A and B) expressed in simplest form?
Only answer if you're sure please :)
A. 1/15
B. 1/11
C. 1/4
D. 4/11

Answers

Answer:

Answer B

Step-by-step explanation:

A is 1/4 bc there are 3 out of 12

B is 4/11 bc there are for oatmeal raisin and all in all 11 cookies left

so A*B is 1/4 * 4/11 = 4/44 = 1/11

(would indeed appreciate the brainliest if you appreciate the work)

Answer:

the answer is (b)

Step-by-step explanation:

sorry if im late lol

A busy customer service agent handled 20 emails in 1/4 of a day. At that rate, how many emails could he handle in 1 day?

Answers

Step-by-step explanation:

20 mails in 1/4 day (0.25 day)

-> 1 day = 20/0.25 =  80 emails

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

1/4 day = 20 emails

1 day = 80 emails

The number of emails he could handle in a day is 80 emails.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

4/8 = 1/2 is a fraction

6/8 = 3/4 is a fraction.

We have,

The number of emails handled in 1/4 of a day = 20 emails.

This can be written as,

1/4 day = 20 emails

Multiply 4 on both sides.

4 x 1/4 day = 4 x 20 emails

1 day = 80 emails

Thus,

1/4 day = 20 emails

1 day = 80 emails

The number of emails he could handle in a day is 80 emails.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

send help

Given 4 coordinate points A(2, 0), B(4, 0), C(5, -2), D(1, -2). If the image is rotated by 180° about the origin O, then D' =

(1, 2)

(-1, 2)

(-1, -2)
\\




edit: i just figured out the answer it's (-1,2). but i'm gonna keep the question here just in case someone else needs the answer

Answers

Answer:The answer is (-1,2)

Mags is 2 years older than Vector. Which equation will
help you find Mags' age (m) if you know Vector's age (v)?
v = m + 2
m = V + 2
V-2=m

Answers

Answer:

m = v + 2

Step-by-step explanation:

Since Mags (m) is 2 years older than Vector (v)

You can use the equation V + 2 which is Vector's age + 2 years. Which would be equal to Mags' age.

Can you please help me with this question i will give you a Brainiest and 12points

Answers

M = 3

....................

Answer:

m = 3

Step-by-step explanation:

10m = 10-5(m-7)

10m = -(5m-5×7)+10

10m = -(5m-35)+10

10m = -5m + 35 + 10

10m = -5m +45

15m = 45

15m/15 = 45/15

m = 3^2*5/3*5

m = 3^2-1

m = 3

Help yesssssssdjdjdjdi

Answers

400 - 200 = 600.
282 - etc. etc.

Answer:

246

Step-by-step explanation:

482 - 200 = 282

282 - 30 = 252

252 - 2 = 250

250 - 4 = 246

Or

482 - 236 = 246

Hope this helps. :)

Have a good day!

Please help, look at photo for question. (Math)

Answers

Answer:

f(-1) = 1

Step-by-step explanation:

f(x) = .5(1-x)

Let x = -1

f(-1) = .5(1- -1)

     .5( 1+1)

    .5(2)

     1

quick pls lol??aosijdsu

Answers

Answer:

C

Step-by-step explanation:

i think i'm going between C and E but I think C

the correct answer is C

what is the arc length of a semicircle with a diameter of 8

Answers

Answer:

[tex] \frac{88}{7} units[/tex]

Step-by-step explanation:

Circumference of semi-circle=

[tex]\pi \: r[/tex]

[tex] \frac{22}{7} \times 4 \\ \frac{88}{7} [/tex]

Do these side lengths make a right triangle? 6, 8, 9

Please I need help with this

Answers

Answer:

No

Step-by-step explanation:

they do not make a pythagorean triple. you can test with the pythagorean theorem

Answer:

Nah it doesn't 6 8 10 would though

can someone please help me out!! (the photo is provided)

Answers

Answer:

area- 150 , height-12 , base-25

Step-by-step explanation:

multiply the base times height then divide by 2

Answer: The height of the triangle is 12 cm. The base of the triangle is 25 cm. The area of the triangle.... formula: multiply base by height then divide by 2......

so, 25 times 12(height) then divide by 2

Therefore the area is 150 cm.

I hope this helps. I wanted to give it a try. :)

If 8x=4

What is 2+12x?

Answers

Answer:

8

Step-by-step explanation:

If 8x = 4, then you can solve for x by dividing both sides by 8. Therefore, x = 4/8 or 1/2.

Then to solve 2 + 12x you simply plug in 1/2 for x.

2 + 12x

2 + 12(1/2)

2 + 6

8

What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is a right angle, angle D B C is a straight angle, m angle A B C = 90 degrees, m angle D B C = 180 degrees, m angle A B D + m angle A B C = m angle D B C, m angle A B D + 90 degrees = 180 degrees, m angle A B D = 90 degrees, angle A B C is-congruent-to angle A B D. The second column is labeled Reasons with entries, given, given, definition of right angle, definition of straight angle, angle addition property, substitution property, subtraction property, and definition of right angle. two-column proof two-paragraph proof flowchart proof one-paragraph proof

Answers

Answer:

two-column proof

Step-by-step explanation:

i just did the quiz on ed .. i hope it helps :)

Answer:

A. Two column proof

Step-by-step explanation:


There are 1300 students in a school. 48% of them are female. How many are male?

Answers

Answer:

676

Step-by-step explanation:

First find what 48 percent of 1300 is

1300*0.48=624

Then subtract the number of females from the total number of students.

1300 student -624 females=676 males.

Hope that's clear :)

Answer:

[tex]676[/tex]

Step-by-step explanation:

48 % of students are female. so first we have to fine the percentage of male.

[tex]48\% = female \\ 100\% - 48\% = 52\% \\ 52\% = male[/tex]

Now lets fine how many male students are there.

[tex]1300 \times \frac{52}{100} = 676[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day !!

18q = 14 - ( -58)
i need help​

Answers

Answer:

q =4

Step-by-step explanation:

18q = 14 - ( -58)

Combine like terms

18q = 14+58

18q = 72

Divide each side by 18

18q/18 = 72/18

q =4

PLs answer this question

Answers

Answer:

49/16

Step-by-step explanation:

make the fraction into a mixed number then multiply have answer

There are 20 students in a 5th grade class. Four of these students will be selected to be patrols. In how many ways can the four patrols be selected?

Answers

Answer:

4845 ways

Step-by-step explanation:

We need to form groups of four students among the total of 20 students, and the order of the students inside the group does not matter, so we have a combination problem.

To solve this problem, we just need to find the combination of 20 choose 4:

C(20, 4) = 20! / (16! * 4!) = 20 * 19 * 18 * 17 / (4 * 3 * 2) = 4845

There are 4845 ways of selecting this group of four patrols.

Select the correct answer.
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
-7 and -3
B.
-3 and 7
C.
3 and 7
D.
-7 and 3

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

We are given with the factors of quadratic function. They are as follows :

(x − 7) and (x + 3)

It is required to find the zeroes of function g.

To find zeroes of function, it is required to put the factors equal to 0 i.e.

[tex](x-7)=0\\\\x=7[/tex]

and

[tex](x+3)=0\\\\x=-3[/tex]

From above calculations, we can say that the zeroes of function g are 7 and (-3). Hence, the correct option is (b).

For every pound a company spends on advertising, it spends £0.43 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.

Answers

Answer:

£1 : £0.43

Step-by-step explanation:

So to make the ratio, you need the amount of money spent on advertising and the money spent on its website

Website money = £0.43

Advertising money = £1

£1 : £0.43

In Smallville the sales tax is 0.075 of the price. How much sales tax
do you pay on a $60 Superman costume?

Answers

Answer:

4 dollars 50 cents

Step-by-step explanation:

60*0.075=4.50

Andrew spent 75% of his $20 allowance to go to the movies. How much did he spend? Use at least 2 strategies.
PLEASE HELP​

Answers

Answer:

$15

Step-by-step explanation:

Find ONLY letter a: Lower Quartile
50 POINTS + BRAINLIEST

Answers

The lower quartile is 20. It's at the left edge of the box.

Use the interactive tool to find the difference:

1- 3/10. Write the answer as a fraction.

Answers

Answer:

7/10

Step-by-step explanation:

right on edg

Answer:7/10

Step-by-step explanation: And I am telling the truth

Each homeroom must send two student representatives to each student council meeting. Mrs. Lincoln has 15 girls and 10 boys in her homeroom. If she randomly selects two students to attend the next meeting, find the probability of her choosing one girl and one boy?

Answers

Answer:

1/4

Step-by-step explanation:

Mrs. Lincoln has 15 girls and 10 boys in her homeroom. She randomly selects two students. The total number of students is 25.

The probability of choosing one girl is:

15 / 25 = 3 / 5

Now, 24 students are left.

The probability of choosing one boy is:

10 / 24 = 5 / 12

Therefore, the probability of choosing one girl and one boy is:

3 / 5 * 5 / 12

= 3 / 12

= 1/4

60% of what number is 150?

Answers

Answer:

90

Step-by-step explanation:

To solve this you must make a proportion of x/150 60/100. Then you need to find the relation between 100 and 150 which is x 1.5. Then apply the same thing to 60 which results in 90.

Answer: 250

You must set this up as a proportion

Remember the percent is always over 100

150/x=60/100

Then solve the proportion

60x=15000

Get the x by its self

15000/60 is 250

x=250

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