Write the quadratic equation whose roots are 1 and 5, and whose leading coefficient is 2.

Answers

Answer 1

Answer:

[tex]\Large \boxed{\sf \bf 2x^2-12x+10}[/tex]

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

[tex]2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10[/tex]

Thanks

Answer 2

The quadratic equation will be 2x²-12x+1=0.

What is a quadratic equation?

Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the roots of the quadratic equation are 1 and 5 and the leading coefficient is 2.

The equation will be written as,

Quadratic equation = 2( x - 1 ) ( x - 1 )

Quadratic equation = 2 ( x² + 4x - 5)

Quadratic equation  = 2x² + 8x - 10

Therefore, the quadratic equation will be 2x²-12x+1=0.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ2


Related Questions

anyone willing to help me with this?

Answers

the answer for 5/6 x 3/10 is 1/4

Can someone help me with this problem

Answers

Answer:

H and N

Step-by-step explanation:

The solutions to the equation 2x + x-1 = 2 are * =
2 or X=
BERE

Answers

X=1, if thats what you want.

Solve for n. 3(n+5)≥3n+8

Answers

Answer:

True for all N

Step-by-step explanation:

Answer:

True for all N :)

Step-by-step explanation:

A fish tank is in the shape of a cube. Its volume is 125 ft?. What is the area
of one face of the tank?

Answers

Answer:

8455.1 gallons • 32006 liters

Step-by-step explanation:

Julius is saving money to buy a Play Station V which cost $499.99. He has already saved $18.25 which he deposited into a savings account. He plans to save $25 a month from babysitting, mowing lawns, and allowance. Which of the following equations represents his saving plan if S is the total money saved and t is the number of months he has saved? C. S = $18.25 + $25t А. S = $250 D. S = $499.99 - $25t S = $18.25 - $25t​

Answers

Answer:

C. S=18.25+25t

Step-by-step explanation:

i looked it up on google

Rearrange to make x the subject:
y=1/3 x+4

Answers

Answer:

x=3y-12

Step-by-step explanation:

in the photo attached

Y - 4 = 1/3 x
3(y-4) = x

The question is slightly unclear, but this is what I got. Lmk if you want me to explain further or if I am incorrect.

Evaluate def2 if d = −4, e = 5 and f = −9.

Answers

The answer will be 10

The difference of twice a number and 2 is less than -24.

Answers

Answer:

x < -11

Step-by-step explanation:

Let x be the number

2x - 2 < -24Add 2 to each side, so it now looks like this: 2x < -22Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x < -11

I hope this helps!

PLEASE HELP ME!

Which algebraic rule describes the transformation of
parallelogram GHJK to G'H'J'K'?

ry-axis
rx-axis
R0,90°
R0,270°

Answers

Answer:

it right

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What fraction of an hour is 4 minutes? Give your answer in its simplest form.

Answers

Answer:

An hour is 60 minutes.

And according to question we have to find the simplest form of 60/4

4/60

=  1/15

So the fraction is 1/15

For f(x) = (x-2)2 Find f(-2)

Answers

Hope this helpsssssssss

Solve for m in the following equation:
x= 3k(n + m)

Answers

The correct answer is m=x/3k-n

(10,5),(-8,9)
What the slope for this?

Answers

Answer:

2 /-9

Step-by-step explanation:

LOTS OF POINTS

Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place

please don't answer if you are wrong

Answers

Answer:

38.3

Step-by-step explanation:

The perimeter of the figure can be broken down into the perimeter of 3 sides of the parallelogram, and the perimeter of the semicircle (without its diameter).

The three sides of the parallelogram would be 14+14+4=32.

The perimeter of the semicircle would be 1/2*diameter*pi, which is about 1/2*4*3.14=6.28.

Therefore, the perimeter is 32+6.28=38.3 (to the nearest tenths).

The complement of set M is ______.

Answers

Answer:

M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}

Step-by-step explanation:

42-3x+22x+1+9x-3=180

Answers

What is the question?

What is 2/3 of 7/8?
What is 2/3 of 7/8?

Answers

Answer:

0.58

Step-by-step explanation:

The Answer Is 0.58 .

Please help, will give brainiest to whomever gets this right.

Answers

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

Write the given number in standard notation 7.8 x 10^6

Answers

Answer:

7,800,000

Step-by-step explanation:

Find the slope of the line: y = -5x - 1
A
m = -5/1
B
m = -1/5

Answers

Answer:

Slope: -5/1

Step-by-step explanation:

The slope is always the coefficient of x in y=mx+b, so m is -5 (you don't reverse it)

Answer: A) m = -5/1

Step-by-step explanation: The format of slope intercept form is y=mx+b , therefore M= -5/1.

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300

Answers

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation:

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation

-2x+5(x-2)>7x-6 graph on a number line

Answers

OK............................

NEED YOU GUYS HELP AGAIN!!​

Answers

$180/36=5
so we know 1 pound=5 dollars
10/5=2
so your answer would be
*2 pounds*

Answer:

20 lbs cost $10

Step-by-step explanation:

36 lbs= $180

x        = $10

Let's use the cross method

36*10 = 180x

360 = 180x

360/180 = 180x/180

20= x

20 lbs cost $10

I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!

X^2+6x+3=0
Solve the equation by completing the square

Answers

Answer:

x= 5.45 or -5.45

Write an inequality

The minimum speed is 40 mph.

Answers

Answer:

[tex] s \ge 40 [/tex]

Step-by-step explanation:

Let s = speed.

If the minimum speed is 40 mph, then the speed can be 40 mph or greater.

[tex] s \ge 40 [/tex]

It’s gone be sum over 40 if it’s s>40 so just pixk sum over it

Evaluate 7-2
A. -49

B. -1/49

C. -14

D. 1/49

Answers

Answer:

(D)

Have a great day!!!

The correct value of number 7⁻² is,

D. 1/49

We have to given that,

The number is,

⇒ 7⁻²

Now, We can simplify it as,

⇒ 7⁻²

It can be written as,

⇒ 1 / 7²

⇒ 1 / 7×7

⇒ 1/49

Therefore, The correct option is,

D. 1/49

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

£880 is divided between Pip, Sara & Gordon so that Pip gets twice as much as Sara, and Sara gets three times as much as Gordon. How much does Sara get?
I don’t know how to work this out

Answers

Answer:

Assume Gordon got X dollar

Then

sara got = 3*x= 3x

Pip got = 2*3x= 6x

Now,

x + 3x + 6x = 880

10x =880

x= 88

Sara got = 3x = 3*88 = 264

Step-by-step explanation:

Help me plz 6th grade

Answers

Answer:

Go back to -1

Step-by-step explanation:

4 - -5 = -1

The answer is -1 cause of the. -5

What is the value of xy/z if x = 1, y = -10 and z = 2?

Answers

Answer:

-5

Step-by-step explanation:

Hope this helps

Answer:

1*-10/2=-5

Step-by-step explanation:

\div 2 = - 5| 1times - 10 \div 5 \\ - 10

Other Questions
what was the old kingdom achievements? Maltose is formed from two glucose molecules. Which of these will be another product of the reaction?ATPwateroxygen gascarbon dioxide Who allied with france against britian in the france and indian war State and explain Gauss's law inelectrostatics and use it to determine the electric fieldintensity due to a line charge. Describe your thinking and the steps taken when developing analgebraic representation for the sum of the first t terms of alinear sequence. to make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should sarah use? explain Please help! What does AMRAP stand for? what is a guideline to help an individual make responsible choices.A. The decision-making modelB. An action planC. A goalD. The stages of change As one author said, THE WORLD IS FLAT. What are some of the special challenges of globalization for creating a sustainability strategy Please hurry. branliest and 50 pointsThe American system of government has historically been referred to as an "experiment in democracy that blends elements of thought on self-rule with historical and philosophical thought.(a) Describe two historical examples of self-rule or democratic rule from which the Framers of the US Constitution drew inspiration. Connect each example to one of these elements of American democracy.Voting and electionsLimits on government power(b) Explain how Enlightenment philosophy influenced the Framers in their drafting of these key documents.The Declaration of IndependenceThe US Constitution(c) Explain the purpose of government as accepted by the Framers, and identify one major influence on the development of that purpose. which statement is true about the atomic masses?A: it is never greater than the atomic number.B: it can be greater than the atomic number.C: it always equals the atomic.D: it is always lower than the atomic number. Greg ran 12 miles a day on 18 different days last month. How many miles did he run? What do rabbit, deer, and squirrel have in common? Which question creates the most tension at the end of the story?A. Will the women tell the men what they have figured out?B. Why have the men been upstairs for such a long time?C. Did John Wright love another woman besides Minnie?D. Do Mrs. Peters and Mrs. Hale share the same views? simple definition of creativity Planned value: How is it calculated? f(x)=2x+6 what is the value of f(7) line K bisects HJ if H = (-1,5) and J = (2,-3) find the midpoint which is true about the inside of an animal cell? give a name for the shaded angle below