Write the quadratic equation whose roots are 2 and -1, and whose leading coefficient is 1

Answers

Answer 1

Answer:

y² - y - 2

Step-by-step explanation:

Quadratic functions can be solved using the roots. To solve for roots, we set the two factors equal to zero and solve for the variable. So, we are going to reverse that here.

y + 2 = 0

y = -2

y - 1 = 0

y = 1

Then, we know our factors are (y - 2) and (y + 1), so we just FOIL these.

(y - 2)(y + 1)

y² + 1y - 2y - 2

y² - y - 2

This would be our final equation.


Related Questions

Question 1 of 10
Solve the equation -5 = y for x.

Answers

Answer: B
3•5=15
Since were finding x it’s going to be
x=3y-15
It’s subtraction because obviously if you see in the problem there’s subtraction

The function c(x)=6+8x gives the cost in dollars to rent one bicycle for x hours. What is the meaning of c^-1(10) in this situation?

A. The cost of renting bicycles for 10 hrs

B. The cost of renting 10 bicycles

C. The number of hours you can rent a bicycle for $10

D. The number of bicycles you can rent for $10

Answers

Answer:F

Step-by-step explanation:

when i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?​

Answers

Answer:

[tex]41 \: \: \: years \: \: \: old[/tex]

Step-by-step explanation:

[tex]me \: \: \: \: \: \: \: \: \: \: \: sis \\ 18 \: \: \: \: \: \: \: \: \: \: \: \: 9 \\ 82 \: \: \: \: \: \: \: \: \: \: \: x \\ \\ use \: \: cross \: \\ multipaction \\ \\ 18x = 82 \times 9 \\ 18x = 738 \\ \frac{18x}{18} = \frac{738}{18} \\ x = 41[/tex]

Answer:

41 y/o

Step-by-step explanation:

its a ratio and proportion:

18 y/o   =   82 y/o        

9 y/o         x

82(9) = 18(x)

x = 738 / 18

x = 41 y/o

HELP PLEASE HELP Please

Answers

The answer is b, 5x^2 + 24x + 1

In the diagram, Ray K QJKM is a straight angle. Which statements about the diagram are true? Check all that apply. Angle is an angle bisector. AngleLKQ is bisected. mAngleJKL = 45° mAngleMKQ + mAnglePKQ = mAnglePKM Line segment P K is an angle bisector. AngleJKL Is-congruent-to AngleQKM

Answers

Answer:3,4,5 are the right anwsers

Step-by-step explanation:

i just did it

Answer:

there right^

Step-by-step explanation:

carlton thinks that converting metric units is as easy as moving the ________​

Answers

Answer:

Carlton thinks that converting metric units is as easy as moving the decimal point

Step-by-step explanation:

When you convert the unit, you move decimal point  on your answer from the left to the right or from the right to the left the number of places as per relevant prefix.

Example:

1 meter = 1000 millimeters (1.0 m = 1000.0 mm) 1 milligram = 0.001 grams ( 1.0 mg = 0.001 g)

see attached for prefixes

Answer:

decimal point

Step-by-step explanation:

To convert a metric unit, you are going to either multiply or divide.

Some examples include:

km/1000 = mm/100 = cmcm/10 = mmmm*10 = cmcm*100 = mm*1000 = km

Best of Luck!

in the diagram the value of sin P is

Answers

Answer:  5/13

You divide the opposite over the hypotenuse

sin(angle) = opposite/hypotenuse

With respect to reference angle P, the opposite side is QR = 5 since it is the leg furthest from the angle P.

The hypotenuse is always the longest side and always opposite the 90 degree angle (the largest angle of any right triangle).

An object is moving at a speed of 7 feet per minute. Express this speed in meters per second.

Answers

Answer:

2.1 mpm

Explanation:

1ft = 0.3048 m

[tex]0.3048*7=2.1336[/tex]

The given speed in meters per second is 0.00356 m/sec.

Given that, an object is moving at a speed of 7 feet per minute.

We need to express this speed in meters per second.

How to convert feet per minute to meters per second?

Feet per minutes. In SI units [tex]5.08 \times 10^{-3}[/tex] meters per second.

Meters per second is the base unit for measuring velocity or speed in the International System of Units (SI). Speed is a measure of distance travelled over time, velocity is speed in a given direction. 1 meter travelled over a period of 1 second = 1 m/s.

For an approximate result, divide the speed value by 1969.

Now, 7/1969=0.003555

≈0.00356

Therefore, the given speed in meters per second is 0.00356 m/sec.

To learn more about the speed visit:

https://brainly.com/question/7359669.

#SPJ2

A model rocket is launched straight up. Its height in feet (y) above the
ground x seconds after launch is modeled by the quadratic function: y=
-16x2 + 216x + 6.
How many seconds did it take the rocket to reach its maximum height?

Answers

Answer:

ground x seconds after launch is modeled by the quadratic function: y=

-16x2 + 216x + 6.

How many seconds did it take the rocket to reach its maximum height?

Which simplified fraction is equal to 0.53?

Answers

Answer:

53/100

Step-by-step explanation:

0.53 = 53/100

Since "3" is in the hundredths place, that is going to be the denominator.

The fraction cannot be simplified any further.

Best of Luck!

what is the answer to 2(x - 5) = 10

Answers

Answer:

0 must be correct answer

answer - x must equal 10
explanation- 10-5=5 and 5 x 2 = 10

All interior angles are congruent True or False

Answers

Answer:

true

Step-by-step explanation:

Solve for X!?
PLEASE HELP MEE!!!!!!!

Answers

Answer:

x=15

Step-by-step explanation:

4x = 2x + 30
6x = 30
x = 5

Is the number 90,040 divisible by 8?

Answers

Answer:

yes it is

Step-by-step explanation:

90,040/8 is 11222

NEED HELP ASAP WILL MARK BRANLIEST!!!!!!

Answers

The heck, what math are you in?
what is that what lol

Please help ASAP (28 points)

Answers

Answer:

5) x = 8

6) z = 49°

Step-by-step explanation:

Hi there !

5)

we have opposite angles =>

5x = 2x + 24

5x - 2x = 24

3x = 24

x = 24 : 3

x = 8

6)

The sum of the three interior angles in a triangle is always 180° !

x = 180° - (28° + 39°)

= 180° - 67°

= 113°

x ; y = supplementary angles =>

x + y = 180° =>

y = 180° - x

= 180° - 113°

= 67°

z = 180° - (64° + 67°)

= 180° - 131°

= 49°

Good luck !

How many ML are equal to 4.567x10^4

Answers

Answer:45670 ML

Step-by-step explanation:

Sorry if wrong.

Adam built a rectangular vegetable garden that has a length of 6.6 feet and a
with of 3 1 feet. What is the area of his garden?

Answers

THEYRE RIGHT!!!!!!!!!!!!! I did this yesterday too

This table shows the five most common elements in the earth's crust along with the
percent of the crust that each element composes. About what percent more is
oxygen than silicon?

Answers

Answer:

18.88 more percent

Step-by-step explanation:

46.60-27.72 =18.88 meaning, it has 18.88 more percent than silicon

Answer:

Step-by-step explanation:

18.88 more percent

Instead of numbers satisfies Binfords law if the probability of a number starting with digit d is p(d)=log (d+1)-log(d) The probability of a particular digit is more than 8% the graph represents the situation which values are included in the solution set

Answers

Answer:

B and E

Step-by-step explanation:

i took the test

Your credit card has a balance of $5400 and an annual interest rate of 17%. You decide to pay off the balance over two years. If there are no further purchases charged to the card, you must pay $266.94 each month, and you will pay a total interest of $1006.56. Assume you decide to pay off the balance over one year rather than two. How much more must you pay each month and how much less will you pay in total interest?

Answers

Answer:

5400/12= 450 paid

1006.56/2=503.28 interest

total is 5,903.28

total for paid 491.94 for months

Step-by-step explanation:

15 ÷ 13965 long division​

Answers

Answer:

0.001

Step-by-step explanation:

We have the equation:

15 ÷ 13965 = 0.001

Calculated to 3 decimal places.

Now see the attachment,

Find the linear function,
f
(
x
)
, passing through the points:
(

5
,

7
)
and
(
2
,

7
)
.
Enter your answer using function notation

Answers

Answer:

f(x) = -7

Step-by-step explanation:

geez - how about typing things so we can read them?

The line passing through (-5,-7) and (2,-7) is a horizontal line

Which is equivalent to 56c^16/162c^3 squared after it has been simplified completely?

Answers

Answer:

B

Step-by-step explanation:

Just took the test plz mark brainliest

Answer:

B

Step-by-step explanation:

*Edgy 2020*

Econo motel charges $260 for 4 nights. At that rate, how much would 7 nights cost

Answers

Divide the cost for 4 nights by 4 to get cost per night.

260/4 = 65 per night.

Multiply cost per night by 7:

65 x 7 = 455

It would cost $455 for 7 nights.

What is the quotient ?
-4/5 divided by 2
1) -1 3/5
2) -2/5
3) 1/2
4) 1 3/5

Answers

Answer: -2/5

Step-by-step explanation: It's -4/5 multiplied by 1/2 because you you have to find the reciprocal, so you flip 2, so it would become 1/2, then you multiply -4/5 and 1/2, which would get you -4/10, which can be reduced to -2/5. Hope this helps!

Answer: B

Step-by-step explanation:

Solve for x
4(3x – 5) - 2x = -30

Answers

Answer:

your answer is -1

Step-by-step explanation:

D = distributive property

S = switch

C = combine

I = inverse operations

F = finalize

[tex]4(3x - 5) -2x = -30\\12x -20 -2x = -30\\12x -2x = -30 + 20\\10x = -10\\x = \frac{-10}{10}\\ x = -1[/tex]

Hdhdydshwshshhdhdhde

seven thousandths as a decimal. *

Answers

Answer:

IT IS , 0.007

Step-by-step explanation:

Hope you do great !!

Answer:

0.007

Step-by-step explanation:

.0    - tenths

0    -  hundredths

7     - thousandths    

The recipe calls for 1/2 cup of flour to make 8 servings, how many cups of flour are needed to make 20 servings?

Answers

Answer is 1.25 cups of flour

20/8=2.5

2.5 x 1/2

5/4 or 1.25 cups

Brainliest?

HELP I WILL GIVE BRAINLIEST AND 20 POINTS TO CORRECT ANSWER-Hunter is rolling the dice to see what the probability of rolling different numbers is. Use the drop-down menus to give the probability of rolling the following numbers.

2

3 or less

5 or more

8

Answers

Answer:

2: [tex]\frac{1}{6}[/tex]

3 or less: [tex]\frac{1}{2}[/tex]

5 or more: [tex]\frac{1}{3}[/tex]

8: 0

~theLocoCoco

Answer:

2  = 1/6

3 or less  =1/2

5 or more  = 1/3

8  = 0

Step-by-step explanation:

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