Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer 1

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Answer 2

Step-by-step explanation:

[tex]numbers \: = x \: and \: y \\ x \times y = - 12......(1) \\ x + y = 1..... ..(2) \\y = 1 - x \\ put \: this \: in \: (1) \\ x(1 - x) = - 12 \\ x - {x}^{2} = - 12 \\ - x + {x}^{2} - 12 = 0 \\ factorise \\ {x}^{2} - 4x + 3x - 12 = 0 \\ x(x - 4) + 3(x - 4) = 0 \\ (x - 4)(x + 3) = 0 \\ x = + 4 \: or \: - 3 \\ thank \: you[/tex]


Related Questions

Still struggling with this.

Answers

Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

Find the unknown side length, x. Write your answer in simplest radical form.

A.
15

Answers

Answer:

HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.

Step-by-step explanation:

In a right triangle its sides can go with a^2+b^2= c^2

Then a^2+ 8^2= 17^2. a=15 (missing side)

Now 5^2+ 15^2= x^2

250=x^2 ------> 5 square root of 10=x answer b

Mr. Tanaka is making Miso soup for his family. The recipe calls for 350 ml of Dashi. Mr. Tanaka plans to make a smaller batch using 280 ml of dashi. He wants to know what percent of the stock he will use compared to the original recipe. PLSS HELPPPPPPP Quick

Answers

He will use 80% of the stock compared to the original recipe.

When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.

Answers

Answer:

X×Y×Z%/100

Step-by-step explanation:

using formula

si=p×t×r%/100

need help- What is the measurement of arc XZ?

Answers

Answer:

D

Step-by-step explanation:

The inscribed angle XYZ is half the measure of its intercepted arc XZ , then

arc XZ = 2 × 72° = 144° → D

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at a rate of 3 cm/min, the height of the box is 5 cm, and the height is decreasing at a rate of 1 cm/min.
A.The volume of the box is decreasing at a rate of 200 cm3/min.
B.The volume of the box is increasing at a rate of 400 cm3/min.
C.The volume of the box is decreasing at a rate of 400 cm3/min.
D.The volume of the box is increasing at a rate of 200 cm3/min.

Answers

Answer:

aaaaa.List down 5 steps in creating 3d Model

digitally enhanced product design for a

paper bag.

1.__________________________________

2.__________________________________

3.__________________________________

4.__________________________________

5.__________________________________

A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.

Answers

Answer:

21

Step-by-step explanation:

(7x2)+(1.5x2)+(2x2)

Three years ago, Daniel bought a baseball card for $20. The baseball card gains a value of $10 each year for the next three years. A friend offers to buy the baseball card foe twice the value, how much would the friend pay?​

Answers

Answer:

The friend would pay $100

Step-by-step explanation:

The price of the card was $20 when Daniel bought it, it gained a value of $10 every year,

since Daniel bought it 3 years ago we will add $30 to $20 as the value increased by $10/year

so the price becomes $50, but his friend says he'll pay twice the value so,

$50×2= $100

Need help on this!!!

Answers

Answer:

Step-by-step explanation:

Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):

[tex]f(2)=(2)^2-5[/tex] so

f(2) = -1

Now, f(4):

[tex]f(4)=(4)^2-5[/tex] so

f(4) = 11

Now, f(7):

[tex]f(7)=(7)^2-5[/tex] so

f(7) = 44

The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)

How do I find the m and b from number 1 and what would the area be for 2

Answers

Hopefully that’s right, sorry if it’s not

Answer:

Step-by-step explanation:

compare with y=mx+b

m=-1

b=4

(b)

area of triangle=1/2×4×4=8 square units.

Your organization has 20 employees who need an accounting software update installed. Due to a miscommunication, the purchaser only paid to update 10 licenses. The software company issued a paper license and a single key for updating 10 users. Since this is an enterprise paper license, there is no mechanism that enforces a limit to the number of times the key can be used, so you decide to go ahead and update all 20 users. What are the possible consequences of this decision? (Select TWO.)

Answers

Answer:

a. you risk losing your job

b. you expose your company to litigation by violating the software agreement.

Step-by-step explanation:

Doing this puts our job at a risk and it also exposes the company that you work for to litigation. Legally, there is an agreement that puts a limit to the total number of licenses that should be in use. When you use more licenses than you should, this could be regarded as theft. Normally the best thing that you should do is to ask purchasing that they make payments for another 10 licenses. It is very likely that this software company would know of this violation. as the users try to register this software, the software company could get knowledge of this. The activations are not to be shared.

Which of these numbers had exactly tow factors?

Select your answer. 7 8 9 10
A B C D



Answers

Answer:

prime numbers only have two factors...

7 is the only prime in the list

Step-by-step explanation:

CAN SB HELP ME !! Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

x = 41 degrees

Step-by-step explanation:

Since two of the sides are shown as being congruent, the base angles are the same. We are given the top angle, which is 98 degrees. All the angles of a triangle add up to 180. We can subtract 98 from 180, giving us 82, and divide that by two (since the base angles are congruent), giving us a measure of 41 degrees for each of the bottom angles of the isosceles triangle.

Someone please help me with this math problem?

Answers

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

Here's what we know about Fernando's fees:

$10 is the initial fee

$4 is the hourly fee (h)

Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)

Here's what we know about Brenna's fees:

No initial fee

$6 is the hourly fee (h)

Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)

We want to find which hour Fernando and Brenna will have saved the same amount of money.

To do this, let's first set up an equation for Fernando and Brenna separately:

Fernando's equation:

0.3(10 + 4h) = how much money he saves from the total cost

Brenna's equation:

0.25(6h) = how much money she saves from the total cost

Now we set them equal to each other:

0.3(10 + 4h) = 0.25(6h)

There's your answer!

Hope it helps (●'◡'●)

8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?​

Answers

the answer is in the picture

What is the X and Y?​

Answers

The answer is (-8, 5)

Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !

Answers

Answer:

each member needs to put in 91.70 dollars in.

Step-by-step explanation:

you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.

then you divide by the amount of people which is three. so 275.1/3 and you get 91.7

The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagram. What is the perimeter of the sandbox?

Answers

Answer:

ay bru ima tell yu dhis rn is c

Step-by-step explanation:

Please help asap!!! I'm in hurry please help ​

Answers

Step-by-step explanation:

so, what are we supposed to do with that ?

you forgot to tell us that.

adding them ?

transforming then into expressions of x and y ?

... ?

Miast
Select the correct answer.
Which of the equations below represents a line parallel to the x-axis?
А.= 5
B.y = 1
C.y = 1
D.y = 5


Answers

Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

#Muhib

You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded

Answers

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

Answer:

1.25% and 16 times

Step-by-step explanation:

What is the sum of x2 − 3x + 7 and 3x2 + 5x − 9

Answers

Answer:

4x²+2x-2

Step-by-step explanation:

x²-3x+7

+

3x²+5x-9

Answer:

4x² + 2x - 2

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

x² - 3x + 7 + 3x² + 5x - 9

Step 2: Simplify

Combine like terms (x²):                                                                                   4x² - 3x + 7 + 5x - 9Combine like terms (x):                                                                                    4x² + 2x + 7 - 9Combine like terms:                                                                                         4x² + 2x - 2

A couple plans to have 3 children, what is the probability that atleast two will be boys?

Answers

1/4 or 25 percent because there is a 1/2 chance to get a boy or girl so the probability that will be boys us 1/2 x 1/2= 1/4

Giải phương trình:
Sin^4 x - cos^4 x =1/2

Answers

Step-by-step explanation:

...........MaRk As BrAiNeSt

Hello,

[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Answers

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )

Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *

This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *

Answers

Answer:

a) 71

b) an = a1 + (n-1)×7

c) the 37th term

Step-by-step explanation:

clearly, an+1 = an + 7

so, any new term is the previous term plus 7.

a1 = 8

and then the sequence goes on. starting with a2 we add 7 every time.

so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.

therefore, the building function of this sequence to calculate the nth term is

an = a1 + (n-1)×7

a10 = a1 + 9×7 = 8 + 63 = 71

and

ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x

259 = 7x

x = 37

=> the 37th term of the sequence is 260

a) 71
b) an = al + (n +1) x 7
c) 37th term

What is the quotient of

Answers

Answer:

x^5+8x^4+17x^3-14x^2-84x-72

Step-by-step explanation:

its not 12 fyi oh btw question is in the picture btw this is middle school not high school

Answers

Answer:

6in^2

Step-by-step explanation:

formula of a triangle: l x h : 2

4 x 3 = 12

12 : 2 = 6^2

Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property

Answers

Answer:

Step-by-step explanation:

is option a correct

The correct property of addition is shown in the equation is,

⇒ Identity property.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The equation is,

⇒ a + bi + 0 + 0i

Now, We know that;

Condition of identity property is,

⇒ a + 0 = a

Thus, The correct property of addition is shown in the equation is,

⇒ Identity property.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ5

Other Questions
Which of the following statements are always true?A trapezoid is a rhombus.A trapezoid is a parallelogram.A trapezoid is a quadrilateral.A trapezoid is a rectangle. # If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long. Plz help Ill mark you Design a plan that can be implemented in your life to become a higher level professional when a company following a differentiation strategy ensures that the higher price it charges for its higher quality is not priced too far about the price of competition, the company is using the process of Find the perimeter of JKL. Round your answer to the nearest tenth if necessary The full spelling of vafloru How were Mexican citizens lives affected by the leadership of Antonio Lopez de Santa Anna?1. Citizens faced many changes in laws and policies.2. Citizens began to have more influence in Mexican politics.3. Citizens had less protection from a weakened military.4. Citizens were silenced under harsh dictatorial rule. Lee has difficulty seeing the board when he sits at the back of the class. The doctor tells him that he is short-sighted and requires spectacles (glasses).Explain what meant by short-sightedness and how spectacles are used to correct this problem.it gon be obvious if you copy from g00 gle Put each word in the sentance below in a categoryV = verbADV = adverbADJ = adjectiveShe quite suddenly became very sad. a student researhcer is intersted in fidning out of th protion of returned missioanres that dress up for devitonal is differnt than priton of non truend misisoanres that dress up for devitoanl what type of test is best suited for this hypohtesis In a solution, the solvent isANSWER:A. always waterB. dissolved in the soluteC. present in larger amount than the solute isD. always nonpolar The number of all credit-card holders in the U.S. is IN(a) million card holders and the collective amount of credit card debt that all credit-card holders carry is D(x) billion dollars, x years after 2010. The average credit card debt per card holder at year x is: Contrary to popular opinion, CEOs of major U.S. companies come from a wide variety of private universities and state universities, not just a handful of well-publicized MBA programs. What does this fact tell you about sources of power and organizational politics In a recent study of incomes in Wake county in North Carolina, it was found that the distribution of family incomes is skewed to the right (i.e., it has a long right tail). What can we say about the relationship between mean and median. me toICS AVtV30A vehicle accelerates from 0 to 30 m/s in 10 seconds on astraight road, then travels 15 seconds at a constant velocity.Next it slows down, coming to a stop in 5 seconds. The carwaits 10 seconds, and then backs up for 5 secondsaccelerating from 0 to -10 m/s. Draw a graph showing thevehicle's velocity vs time by following these steps.20What is the velocity of the vehicle at 0 seconds?v m/sVelocity (m/s)es104020 30Time (s)Elementary-10SSecondary< Previous Activityenuity.com/ContentViewers/Frame Chain/ActivityUS 1:09 Describe how the graph of y = |x - 2| - 5 is a transformation of the graph of y = |x|. Use terms such as "shifted", "reflected", "stretched", or "compressed". At a football stadium, 25% of the fans in the attendance were teenagers. If there were 190 teenagers at the football stadium, what was the total numbers of the people at the stadium? (9-3)+188 show your work The electric potential energy of an electric dipole is ______ when the dipole is aligned with an electric field. The electric potential energy of an electric dipole is ______ when the dipole is aligned with an electric field. most positive most negative zero infinite undefined