MATHEMATICS COLLEGE

The sum of a number and 2 times its reciprocal is -3

Answers

Answer 1

Answer:

Answer:

(-2,-1)

Step-by-step explanation:

let the number=x

its reciprocal=1/x

x+2(1/x)=-3

x+2/x=-3

x²+2=-3x

x²+3x+2=0

(x+2)(x+1)=0

x=-2,-1

Related Questions

A lightning bolt is graphed on the coordinate plane below. A rotation of this lightning bolt 270° clockwise would place it in which quadrant?A. Quadrant I (x, y)B. Quadrant II (-x, y)C. Quadrant III (-x, -y)D. Quadrant IV (x, -y)
A : undefined B: ZeroC: Positive D:Negative
What is the determinant of an elementary row replacement matrix? An elementary n xn row replacement matrix is the same as the n x n identity matrix with__________ of the_____________replaced with some number k.This means this is the ___________and so its determinent is ___________.of its diagnol enteries. Thus, the determinant of an elementary row replacement matrix is______________.1. Exactly one,atleast one2. 1's or 0's3. Identity matrix,invertible matrix, triangular matrix or zero matrix.4. Product or sum5. A number
It takes 60 pounds of seed to completely plant an 8 -acre field. How many acres can be planted per pound of seed?
Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.

15. Simplify sin(90° - O) cos 0 - sin(180° +0) sin e.

Answers

Answer: cos²(θ) + sin(θ)sin(e)

Step-by-step explanation:

sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)

Note the following identities:

sin (90° - θ) = cos(x)

sin (180° + θ) = -sin(x)

Substitute those identities into the expression:

cos(x)cos(x) - -sin(x)sin(e)

= cos²(x) + sin(x)sin(e)

The value of a car is $30,000 and depreciates at a rate of 6.5% each year.What will the value of the car be after 5 years? Round to the nearest cent.

Answers

Answer:$20250

Step-by-step explanation:

6.5% of 30000

6.5/100 x 30000

(6.5 x 30000)/100

195000/100=1950

First year depreciation 30000-1950=28050

Second year=28050-1950=26100

Third year=26100-1950=24150

Fourth year=24150-1950=22200

Fifth year=22200-1950=20250

To paint his apartment, Alex but 6 gallons of paint to cover 1440 ft.². What is the ratio of square feet to gallons of paint?

Answers

Answer & Step-by-step explanation:

The ratio of square feet to gallons of paint:

$1440:6$

This can also be written as:

$(1440)/(6)$

This fraction can be simplified by dividing the numerator and denominator by 6:

$(1440)/(6)=(240)/(1)$

So, the ratio of square feet to gallons of paint is:

1 gallon for every 240 ft².

:Done

A house and a lot are appraised at 212,400. If the value of the house is five times the value of the lot, how much Is the house worth

Answers

Answer:

$177,000

Step-by-step explanation:

Let x represent value of lot.

We have been given that the value of the house is five times the value of the lot. The value of house would be $5x$ .

We have been given that a house and a lot are appraised at 212,400. We can represent this information in an equation as:

$x+5x=212,400$

$6x=212,400$

$(6x)/(6)=(212,400)/(6)$

$x=35,400$

Now, we will substitute $x=35,400$ in expression $5x$ .

$5x=5(35,400)=177,000$

Therefore, the house is worth $177,000.

If the lot is 5 times more than there are 6 amounts that are the same that add up to be 212,400. so 212,400/6 is 35,400. since the house is 5 times more than the lot we take 35,400 and multiply it by 5 which is 177,000 the value of the house. We can check our answer by adding 35,400 to our 177,000 and we get 212400

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Answers

Answer:

The probability of this event is represented by a value of 1.

Step-by-step explanation:

Probability of a certain event:

The probability of an event that is considered to be certain, that is, guaranteed to happen, is 100% = 1.

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck.

This means that the probability of this event is represented by a value of 1.

I NEED HELP ASAP PLEASE HELP

Answers

Answer: C

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

When looking at the whole number, You always want to look at the tenths place to see of it's 5 or higher.