product -12 and sum -1 what are the factors

Answers

Answer 1

Answer:

the two numbers are 3 and -4

Step-by-step explanation:

Product:  xy = -12, or x = -12/y

Sum:  x + y = -1, or -12/y + y = -1

Let's multiply all three terms by y to eliminate the fractional terms:

-12 + y^2 = -y, or

y^2 + y - 12 = 0

This factors into (y + 4)(y - 3) = 0, yielding y = -4 and y = 3.

Earlier we found that x = -12/y.  Here, if we choose y = -4, x = -12/(-4) = 3

and so the two numbers are 3 and -4.  Note that 3(-4) = -12, as required, and that 3 - 4 = -1, also as required.


Related Questions

18,923,612 - 9,089,689

Answers

Answer:

9,833,923

Step-by-step explanation:

Subtract 9,089,689  from 18,923,612

Short Answer Questions:
1. The perimeter of a square is 18.4 m. What is its area?

Answers

Answer:

A ≈ 21.16m²

Step-by-step explanation:

Answer:

21.16 m^2

Step-by-step explanation:

If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.

Then the area of the square is (4.6 m)^2, or 21.16 m^2

Please Solve Now!!! Will Give Brainliest!!!

1. secθ×sinθ 2. cscθ×cosθ


3. tanθ×cscθ 4. cotθ×secθ


5. 1-cos²θ 6. sec²θ-1


7. csc²θ-cot²θ 8. 1-sin²θ

Answers

Answer:

Step-by-step explanation:

1, sec theta  * sin theta = 1/cos * sin = sin/cos =tan theta

2. cosec theta * cos theta = 1/ sin * cos = cos/sin = cot theta

3, tan theta * cosec theta =sin/cos * 1/sin = 1/cos

4, cot theta * sec theta = cos /sin * 1/cos= 1/sin

5, 1 - cos^2 theta = sin ^2 theta

6, sec^2 theta - 1 =tan ^2 theta

7 , cosec^2 theta - cot^2 theta = 1

8, 1 - sin^2 theta = cos^2

please mark me as the brainliest.........please

Can u guys help meeee?!!!!!?

Answers

Answer:

Area=57.75 m squared

Step-by-step explanation:

Area= L x W

Area= 11 x 5.25

Area=57.75 or 57 3/4

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

[tex]2a^2\sqrt{35a}[/tex]

Step-by-step explanation:

[tex]\sqrt{2a} .\sqrt{14a^3} .\sqrt{5a} \\=\sqrt{2a\times 14a^3\times 5a}\\=\sqrt{140a^5}\\=2a^2\sqrt{35a}\\[/tex]

How many gallons of paint will you need to paint a bedroom that is 10 ft by 14 ft with walls that are 7 1/2 ft high? The walls will need two coats to cover the old paint.

How many gallons of paint are needed to paint the ceiling of the same room in the last question, one coat of paint will suffice.

Answers

you have two walls that are  10 by 7.5 so 75 feet ^2 in area each

you have another two walls that are 14 by 7.5  so 105 feet^ 2 each

so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy

for the ceiling you do the same, the area is 140 and you only need one coat

complete the synthetic division problem below -3 1 2 -2 3

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Step-by-step explanation:

hope this helps you :)

Answer:

x^2-x+1

Step-by-step explanation:

Hope that helps!!!

determine the range of the function graphed above

Answers

Answer: A

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The possible values of y are [-infinity,4], so the answer is A

Hello, could you please help me with some ideas? This is the question:
List at least five idioms that you have come across in your own life, and indicate both the idiomatic and literal meanings of each of the expressions.

Answers

Answer:

1. Time is money

Meaning: Work faster or more efficiently

2. Don’t judge a book by its cover

Meaning: Not judging something by its initial appearance

3.Getting a second wind

Meaning: Having energy again after being tired or worn out

4.Don’t judge a book by its cover

Meaning: Not judging something by its initial appearance

5.To be on cloud nine

Meaning: To be extremely happy

These are the ones I use.

Answer:

Your on thin ice.

The pen is mightier than the sword.

Its raining cats and dogs.

If your going through hell keep on going face that fire, walk right though it. don't slow do.

Step-by-step explanation:

please please please help

Answers

Answer:

S: 1st quadrant

K:2nd quadrant

W:3rd quadrant

C: y-axis

Step-by-step explanation:

un granjero debe entregar 900 pacas de trigo. en uno de los camiones puede llevar 150 pacas y el otro 120. despues de dos viajes el camion de mayor capacidad se descompone, asi que para terminar el trabajo solo cuenta con el de menor capacidad ¿cuantos viajes hara hara con ese camion para cumplir con el pedido?

Answers

El granjero tendrá que dar 5 viajes con el camión de menor capacidad para cumplir con su pedido!

Aitanacompreparaaitana compra para su fiesta de cumpleaños 5 litros de refresco y vasos de plastico de una capacidad de 250 metros cubicos ¿cuantos vasos podria servir en total?

Answers

Answer:

None

Step-by-step explanation:

In this case we must pass everything to the same unit of measure, we know that the total is 5 liters of soft drink and that each plastic cup has a capacity of 250 cubic meters.

We know that 1 liter is equivalent to 0.001 cubic meters, therefore we will pass the cubic meters of the plastic cup to liters, like this:

250 m ^ 3 * 1 L / 0.001 m ^ 3 = 250,000 L

Therefore we realize that the glass has a very large capacity, which suggests that there is an error in the statement, maybe it is not a cubic meter but a cubic centimeter, but as it is, it cannot serve any plastic cup because the capacity of this cup is very large with respect to the total amount of soft drink.

pls answer i will mark as branliest

Answers

The answer is 108 degrees
And it is vertically opposite angles
Hope it helps!!,
Comment below

If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?

Possible Answers:

√10

5

π

√15

5√2

Answers

Answer:

hypotenuse= 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

[tex]\sqrt{5^{2} +5^{2} }[/tex] = 2[tex]\sqrt{5}[/tex]

A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits

Answers

Answer:

38.25 square inches

Step-by-step explanation:

Length = 9 inches

width = 4.5 inches

Area of Rectangle = Length × width

Area of Rectangle = 9 × 4.5 = 38.25

What is the mission factor of
18y^3=(G)(2y^2)

Answers

g = 9y

this is true because khan academy

The missing factor of the given equation is 9y.

What is factor of the expression?

The factors of the expressions are the simplified expression which when multiplied results in the original expression.

Divide 18y³ by 2y² to determine the missing factor.

G=18y³/2y²

Express the numerator and denominator in the factored form and simplify.

G=(2·3·3·y·y·y)/(2·y·y)

G=3·3·y

G=9y

So, the missing factor of the given equation is 9y.

To learn more about factor click:

https://brainly.com/question/19386208

#SPJ3

What is the slope?
Write it as an integer ,improper fraction or proper fraction

Answers

Answer:

-3/2

Step-by-step explanation:

pick any 2 points on the graph. I chose (80,10) and (60, 40) because they are easy to identify.

40- 10 = 30

60-80 = -20

slope = -30/20 or -3.2

Find the surface area of the following cylinders. Round to the nearest hundredth.

Answers

Answer:

surface area of cylinder= 2πrh + 2πr²

2×22/7×1×8+2×22/7×1×1

352. + 44

7. 7

= 50.3 + 6.25

= 56.55cm²

how can you add 8 to get the number 1000

Answers

Answer:

8+92=100

Step-by-step explanation:

You can get that by subtracting 8 from 100 :)

Answer:

if the number ur adding it to is 991 and u add 8 you will get 1,000

Step-by-step explanation:

Jill drinks 3 glasses of milk each day

How many glasses of milk will Jill drink in 1 week ?

Answers

Answer:

21 glasses of milk

Step-by-step explanation:

7 days in 1 week

3 glasses of milk each day

7 * 3 = 21 glasses

Answer:

21

Step-by-step explanation:

3 glasses of milk every day times the days in a week, so 7 equals 21

7x3= 21

Find the area of a circle with radius 6 m.
Use the value 3.14 for it, and do not round your answer.
Be sure to include the correct unit in your answer.

Answers

The right answer is 113.04m^2

please see the attached picture for full solution

Hope it helps

A checkout clerk at a department store is expected to complete 16 transactions every hour. In the past 20 minutes, he completed 6 transactions. Choose True or False for each statement.

Answers

Answer:

False

Step-by-step explanation:

A checkout clerk at a department store is expected to complete 16 transactions every hour

I.e 16 transactions in 60 minutes

So if it's 6 transactions, let's check to know if the minutes Tally.

16 = 60

6 = (6*60)16

6 = 22.5 minutes

But in the statement it was 20 minutes, so the answer is false.

Use the distance formula to find the distance between A(-3,4) and B(7, -6). Round your answer to the nearest tenth.

Answers

The answer is 102

please see the attached picture for full solution

Hope it helps

Good luck on your assignment


Find an equation that meets the conditions p varies inversely as d, and p= 7 when d = 2.

Answers

Answer: 3.5

Step-by-step explanation:

If 3m+2n=16 and m−2n=0, then what is the value of m?

Answers

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

Sophia just graduated from college and is living on her own. She only wants to
spend about ten percent of her net income on food. She earns a net income of
$2,450 each month. Last week, she tracked her food spending and found she
spends about $75 a week on groceries. Is she meeting the ten percent?

Answers

Answer:

Sophia's monthly spent on food is $300 while she wants to spend $245.

As her real monthly spent is greater than what she wants, she is not meeting the 10% criteria. In fact, she exceed her budget for month

Step-by-step explanation:

Net income of Sophia = $2,450

% of money she wants to spend on food = 10% of Net income of Sophia

thus,

Amount of money she wants to spend on food in $

           =  10% of $2,450

           = 10/100 * $2,450 = $245

Hence, Sophia wants to spend $245 in a month on food.

__________________________

it is given that last week she spent $75 on food

thus, weekly spent on food = $75

as there are 4 weeks in a months

money spent by her in 4 weeks = $75* 4 = $300

Thus, her monthly spent on food is $300 while she wants to spend $245.

As her real monthly spent is greater than what she wants, she is not meeting the 10% criteria. In fact, she exceed her budget for month

Which point would map onto untalented after reflection across the line Y = -X

Answers

Answer:

(4, -4)

Step-by-step explanation:

Since the point (4, -4) rests on the line y=-x, it does not change positions and stays in the same spot.

Solve the question:
115/3.... The answer should be in decimals.

Answers

Answer:

38.3 recurring

Step-by-step explanation:

[tex]115 \ 3[/tex]

What is the measure of angle Y, in degrees?

Answers

Answer:

The answer would be 116

Step-by-step explanation:

The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116

Answer:

Y =116

Step-by-step explanation:

We know that angle Z = angle X since they are base angles  and  the sides are the same length

The sum of the angles of a triangle are 180

X+Y+Z = 180

32+ Y + 32 = 180

64+Y=180

Y = 180-64

Y =116

A company pays each of its two office employees each Friday at the rate of $120 per day for a five-day week that begins on Monday. If the monthly accounting period ends on Tuesday and the employees worked on both Monday and Tuesday, the month-end adjusting entry to record the salaries earned but unpaid is:

Answers

Answer:

Debit Salaries Expense $480 and credit Salaries Payable $480

Step-by-step explanation:

Firstly, we will need to calculate the salary expense of the company on these two employees.

Mathematically, that would be

2 employees * 2 days * 120/employee/day = 2 * 2 * 120 = $480

Thus, the month-end adjusting entry to record the salaries earned but unpaid is that salaries expense will be debited $480 and salaries payable will be credited $480

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