The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?

Answers

Answer 1

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

Answer 2

Answer:

Standard Form: [tex]y = x^2 + x - 20[/tex]

Factored Form: [tex]y = 1(x -4)(x +5)[/tex]

Step-by-step explanation:

Hello!

We can utilize the factored form of a quadratic to find the equation.

Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]

h and k are the roots

We simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.

Expand[tex]y = a(x +h)(x + k)[/tex][tex]y = 1(x -4)(x +5)[/tex][tex]y = 1(x^2 + x - 20)[/tex][tex]y = x^2 +x - 20[/tex]

The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.


Related Questions

Can someone help me with this please???

Brainlyest if you help me lol

The mass of a freight train is 9.98 • 106 kilograms. The mass of an aircraft carrier is 7.3 • 107 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)

Answers

Expand the mass of each:

Freight train: 9.98 x 10^6 = 9,980,000 kg


Aircraft carrier: 7.3x10^7 = 73,000,000 kg


Now subtract:

73,000,000 - 9,980,000 = 63,020,000 kg

Convert to scientific notation: 6.302 x 10^7 kg

QUESTION :-

If ( + ) means ( - ) , ( - ) means ( × ) , ( ÷ ) means ( + ) , ( × ) means ( ÷ )
Then ,

15 - 3 + 10 × 5 ÷ 5 = ?

a ) 42
b ) 48
c ) 5
d ) 50

i need a proper explanation how u got the ans , only ans if u know the ans ..

Thx for answering ¡¡​

Answers

15 - 3 + 10 × 5 ÷ 5 = ? Hence, 48 is the correct answer.

By inserting codes and then using BODMAS Rule:

15 × 3 - 10 ÷ 5 + 5

15 x 3 = 45. Now 10 divided by 5 is 2 and keep the other 5 so:

= 45 - 2 + 5 = 48

I HOPE THIS HELPED YOU.

You are playing a math game, right?

Well anyways, I will solve this for you!!

Let's see the symbols clearly then we will solve

+ = - - = ×÷ = +× = ÷

Now, Substitute the symbols in the original expression

Original expression:

[tex] \sf \: 15 - 3 + 10 \times 5 \div 5[/tex]

New expression:

[tex] \tt \: 15 \times 3 - 10 \div 5 + 5[/tex]

Solution for the equation ;

[tex] \bf \: 15 \times 3 - 2 + 5[/tex]

[tex] \bf \: 45 - 2 + 5[/tex]

[tex] \bf \underline{ \underline {48}}[/tex]

the perimeter of a hexagon is 69 meters.each side of the hexagon is the same length. what is the length of one side of the hexagon? (pls help it's due in 5 mins)​

Answers

Answer:

11.5 meters

Step-by-step explanation:

Since we know the perimeter of a hexagon, and we know in a hexagon there are 6 equal sides, then we can find the length of each side.

P = 6*x, where P is the perimeter and 6 is the total amount of sides and x is the length of each side. Plug in 69 for P and solve your equation.

69 = 6x

Divide by 6 on both sides to isolate x

11.5 = x

Hope this helps

Answer:

Each side is 11.5 m

Step-by-step explanation:

A hexagon is a 6 sided figure

The  figures has sides that are all the same length

P = 6s where s is the side length

69 = 6s

Divide each side by 6

69/6 = 6s/6

11.5 =s

Each side is 11.5 m

In the adjoining figure curved surface area and length of side of equilateral triangle are 1080cm ^ 2 and 12cm. Find the height of triangular prism.

no-one can do this! if you can ,,do it ,,​

Answers

Perimeter of base=12(3)=36cmHeight be h

[tex]\\ \rm\rightarrowtail 36h=1080[/tex]

[tex]\\ \rm\rightarrowtail h=1080/36[/tex]

[tex]\\ \rm\rightarrowtail h=30cm[/tex]

Given: CSA⇢ 1080cm²Length of side⇢ 12cmTo find:⇢Height of triangular prismSolution:

we know that,

CSA of a Triangular prism

CSA⇢ perimeter of base x height

1080cm²⇢12+12+12 x height

1080cm²⇢36cm x height

height⇢ 1080cm²/ 36cm

height ⇢ 30cm

Hence ,the height of the given triangular prism would be 30cm

a rectangular parking lot that is 3 feet longer that is wide has an area of 550 square feet how many feet long is the parking lot?

Answers

Answer:

The parking lot is 25 feet long and 22 feet wide

Step-by-step explanation:

Let's say the rectangle is [tex]x[/tex] feet long. It means it has to be [tex]x+3[/tex] feet wide.

Knowing it's area we can write an equation for the unknown:

[tex]x(x+3) = 550\\x^2+3x-550 = 0\\x= \frac12(-3\pm\sqrt{2209})\\x_1=-25: x_2=22[/tex]

Since we're talking about measures of length, the negative answer is obviously not interesting, so we're left with [tex]x=22[/tex]

Carrot is 5 in his but every minute gangs a inch how big would it be in 10 minutes

Answers

15 inches.

Step-by-step explanation:

What was the difference in profits between the two companies for the year 2000?

Profits

Dollars

70,000

60,000

50. 000

40,000

30,000

20,000

10. 000

Key

Company A

• Company B

0

2000

2001

2002

2003

2004

2005

2006

2007

Year


Pick one of these

$70,000

$10,000

$60,000

$80,000

Please please help me please please help me

Will give brainly

Answers

Answer:

10,000

Step-by-step explanation:

I think it is the right answer

Answer:

60,000

Step-by-step explanation:

Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?

Answers

Answer:

564 patrons.

Step-by-step explanation:

20,304/36 = 564

what is the area of the image below rounded to the nearest whole number?​

Answers

Answer:

189

Step-by-step explanation:

step 1: calculate area of rectangle

Area = l × b

= 10× 15

= 150

step 2: calculate area of half a circle

Area = 1/2 (π.r²)

= 1/2 (22/7 × 5²)

=157/4

step 3: Add the area of rectangle and half a circle together

Area = 157/4 + 150

= 189.26

rounded off to the nearest whole = 189

If the angle of elevation of the sun is 63° and the flagpole casts 27-foot shadow, how tall is the flagpole?

Answers

Answer:

Step-by-step explanation:

To help you solve

Use the fact that (height of flagpole)/(length of shadow) = tan(angle of elevation).

find the slope between (6,10) and (4,-2)

Answers

Answer:

6

Step-by-step explanation:

y2 - x1 / x2 - x1

10 - (-2) / 6 - 4

10 + 2 / 2

12 / 2

6

Determine the type of fee that will be charged in each situation. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Reggie’s broker charged him a front-end load of 2. 75% when he purchased a fund. John’s broker provided him with stock-trading software to manage his trading. Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne’s brokerage firm charged her for providing investment information

Answers

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

Si aumentamos en 3cm el lado de un cuadrado obtenemos otro cuadrado con 51 cm cuadrado más de área¿cuánto mide el lado del primer cuadrado?

Answers

A partir de las informaciones de la pregunta, se encontró que el lado del primer cuadrado es igual a 7 cm.

Square

The square is a quadrilateral that has all sides (x) equals and angles equal to 90°. The perimeter of a square is equal to the sum of sides, so, p=x+x+x+x=4x.  And the area of square formula is A=x².

Therefor, the AREA 1= x².

From problem data, you can write the area 2.

                   AREA 2 =(x+3)*(x+3)=x²+51, then

                                    x²+3x+3x+9=x²+51

                                    6x=51-9

                                    6x=42

                                    x=7

Learn more about area of square here:

https://brainly.com/question/11239678

I need help with this question please.

Answers

Answer:

the second one

Step-by-step explanation:

It’s the first one or the middle one

Write the equivalent expression to -(5x – 2) - (10x + 72°) in standard form:
-
-

Answers

Answer: -35x3 - 39x2 + 25x
Step-by-step explanation: Step
1: Write out expression (5x

When the polynomial p(x) = x^3+ ax^2+ bx+ 3 is divided by x+3, the remainder is 9.
a. Given that p(1) = 1. find a and b
b. Find the remainder when p(x) is divided by x-4

Answers

Answer:

a = 3, b = 8

Step-by-step explanation:

Since x+3 is a factor, x=-3 is a root. =>  f(−3)=2(−3)3+a(−3)2−b(−3)+3=0

=>  9a+3b=51   =>  3a+b=17 — (1)

x-2 leaves a reminder of 15 =>  f(2)=2(2)3+a(2)2−b(2)+3=15

=>4a−2b=−4=>2a−b=−2 —- (2)

Adding (1) & (2),  5a=15=>a=3

Substituting the value of a in (1),  b=8

Find the area of the figure. Use 3.14 for r
I 10 in
11 in
A. 94.25 in2
B. 188.5 in 2
C. 133.5 in2
D. 149.25 in2

Answers

Answer:

c

...

...

...

...

...

...

...

..

Solve the inequality and graph the solution on the line provided.
3 + 2x > 5

Answers

Answer:

x>1

Step-by-step explanation:

In order to do this, we can take the inequality:

3+2x>5

now there are constants on both sides meaning we can combine them like the following:

3+2x>5

-3      -3

------------

2x>2

Now we can simplify

2x/2>2/2

therefore, the answer is x>1

In order to graph this on a line you would need to put in a circle which is not filled in because x isn't equal to and greater than 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.

You would put this line to the right of 1

o----------->

1 2 3 4 5 6

that is how the line would look like

If 500 grams of grapes cost 2.80. Find the cost of 1.2 kg of grapes.

Answers

Answer:

The answer is 6.72

Step-by-step explanation:

Given;If 500 grams of grapes cost 2.80.

Here, if we double the amount of grapes and money we get,

2 (500) = 1000g

2 (2.8) = 5.6

So, for 1000 g it costs 5.6

and for 100 g it costs 0.56

We need to find the cost 1.2 kg of grapes

So,

5.6 + 0.56 + 0.56 = 6.72

Thus, The cost of 1.2 kg of grapes is 6.72

-TheUnknownScientist 72

Answer:

6.72

Step-by-step explanation:

Cost of 500 grams = 2.8

Cost of 1 gram = 2.8/500 = 0.0056

Cost of 1.2 kg = ?

1.2 kg = 1,200 g

Cost of 1.2 kg:

= 0.0056 × 1,200

= 6.72

________

Hope it helps ⚜

Session 1
15.
What is the circumference of a circle with a radius of 4 inches?
Use 3.14 for pie
Write the answer in the box.
inches

Answers

To calculate the circumference of a circle, we use the formula : 2πr

Replace the numbers in : 2π4 = 8 x 3.14 = 25.12

A farmer sells 8.9 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

Step-by-step explanation:

I asked my teacher and she said it was correct.

a 120cm long piece of wood is cut into 5
[tex]5 \frac{1}{4} [/tex]
cm long pieces. How many such pieces will you get? ​

Answers

1/4 = 0.25
0.25+ 5 + 5.25
120 /5.25
= 22.9 pieces

Factroise completely
24x² + 20x
..........................​

Answers

Answer:4x(6x+5)

Step-by-step explanation:

I think that's what it is.

Mrs.Burns purchased 12 ears of corn for $5.76.What is the price per eat of corn?

Answers

Answer:

$0.48 or 48 cents

Step-by-step explanation:

12 ears of corn = $5.76

1 ears of corn = $5.76 ÷ 12 = $0.48

Solve 3 x 4/5 pls help me

Answers

The answer to you’re question is 12/5

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

PEMDAS

P: PARENTHESES

E: EXPONENT

M: MULTIPLICATION

D: DIVISION

A: ADD

S: SUBTRACT

3X4 15

12÷5= 2.5

ANSWER:2.5

pls help me!
Simplify [tex]2a * a * 3a + b * 4b[/tex]

Answers

Answer:

6a³ + 4b²

Step-by-step explanation:

2a × a × 3a = 2 × 3 × a × a × a = 6a³

b × 4b = 4b²

putting these together gives 6a³ + 4b²

Hello!

Let's multiply the terms together.

First, let's multiply the a's.

[tex]\bold{2a*a*3a}[/tex]

[tex]\bold{2a^2*3a}[/tex]

[tex]\bold{6a^3}[/tex]

Step-by-step calculations:

2*3=6

a*a*a=a³

6*a³=6a³

Same with the b's:

[tex]\bold{4b^2}[/tex]

Calculations:

b*4b

b=1b

1*4

b*b

4b²

[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{\bf{6a^3~+4b^2}}}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper}[/tex]

Josie is looking for a new part time job as a painter. She responds to a classified ad for a position that pays 38.2K. What would her weekly salary be to the nearest cent if she gets this job? Show work

Answers

Fairly simple if it’s 38.2k per year
You would just divide by how many weeks there are in a year so 52
Then round
38.2k/52
734.615385
Answer:735

Answer:

73461.53 Cents

Step-by-step explanation:

There are 52 weeks/yr

1k = 100,000 cents

Salary/week:

[tex] \frac{38.2}{52} \times 100000[/tex]

= 0.7346153 x 100000

Salary/Week = 73461.53 Cents

what does y = x - 20 tell you about the relationship between x and y?

Answers

Answer:

LINEAR

Step-by-step explanation:

y depends on x.  x is considered to be the independent variable.

the relationship is LINEAR

Please help, really confused

Answers

I don’t know if you need help on #10

11. The probability is 3/9 or 1/3
12. The probability is also 3/9 or 1/3
13. The probability is 8/9
14. The probability is 4/9

I will mark brainliest / About Solving linear and quadratic equations i need help in these two questions because I didn't understand them well.

Answers

Answer:

x= 6 and y=5. i think

Step-by-step explanation:

because the height is at the number 5 and the arrow. same goes for the x

this is for the picture

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