The roots to a parabola are 2 and -3. What is one
possible equation for this parabola

Answers

Answer 1

Answer:

x^2+x-6

Step-by-step explanation:

i did a thing

hope this is correct and helps

The Roots To A Parabola Are 2 And -3. What Is Onepossible Equation For This Parabola
Answer 2

Answer:

[tex]y = x^2 + x - 6[/tex]

Step-by-step explanation:

Hello!

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

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

h and k are roots

Since the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.

Find the Equation[tex]y = a(x - h)(x - k)[/tex][tex]y = 1(x - 2)(x +3)[/tex][tex]y = 1(x^2 + x - 6)[/tex][tex]y = x^2 + x - 6[/tex]

One possible equation is [tex]y = x^2 + x - 6[/tex].


Related Questions

Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)

Answers

Answer:

A. (y - 2) = 5(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Slope m = 5

Step 2: Write Equation

Substitute in variables into general form.

y - 2 = 5(x + 3)

i need help.please explain and solve the problem.thank you so much that's 4th grade math​

Answers

Answer:

7x50=350

Step-by-step explanation:

There are 50 tables. Each table has 7 legs. How many legs altogether? ANSWER IS 350

HELPPP PLZZZ QUICKKK THIS IS DUE IN 2 MINUTESSSSSSS

Answers

Answer:$31.36

Step-by-step explanation:

plz help! WILL GIVE BRAINLIEST

Answers

Answer:

3x+7=y

Step-by-step explanation:

Find the perimeter of the large triangle

Answers

Answeeeeeeeeeeerrrrrrrrrrrrrrr:

36

There is a 12% sale on glue sticks. The
original price was $3.00 What is the new
cost?

Answers

Answer:

$0.36

Step-by-step explanation:

12*3       36

____ =____

100      100

HELP!!! ASAP MARKING BRAINLIEST!!!

Answers

Answer:

it's the first one. I hope you get a good grade

Please help. Only if you know it.

Answers

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

janet can read 2.95 pages of a book in a minute if she reads for 4.7 minutes how much would she have read

Answers

Answer:

Janet reads 13.865 pages in 4.7 minutes.

Step-by-step explanation:

Given that Janet can read 2.95 pages of a book in a minute.

unit rate = 2.95 pages/per minute

As she reads for 4.7 minutes.

We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.

i.e.

4.7 × 2.95 = 13.865 pages

Therefore, Janet reads 13.865 pages in 4.7 minutes.

At an amusement park, each student is given $19 for food. This covers the cost of 2 meals and $7 worth of snacks. How much money does the school expect each student to spend per meal?

Answers

Answer:

6

Step-by-step explanation:

if one meal is 6 dollars you buy 2 meals that would be 12 dollars then u add 7 dollars worth of snacks to get 19

Answer:

6?

Step-by-step explanation:

$6 for one meal

$12 for two meals

so i would say $6

19 (full price) - 7 (snacks)= 12 (price for two meals)

12/2=6 (price for one meal)

Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?

Answers

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

equation 1: 5x + 3y=8
equation 2: 4x + 7y= 34

9x-10y=42 true

Answers

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

Answer:

False

Step-by-step explanation:

5x+3y=8

4x+7y=34

Then:

5x+4x+3y+7y=9x+10y

9x+10y=43 not 9x-10y

How long will it take for $5,000 to double at the rate of 2.25% interest?

Answers

Answer:

31.15

Step-by-step explanation:

Given the third term is 12 and the rate of change is 3. What is the 5th term

Answers

Answer:

The 5th term:

a₅ = 18

Step-by-step explanation:

We know that Arithmetic sequences have a constant rate of change.

Given

a₃ = 12common difference = rate pf change = d = 3

The nth term of the Arithmetic sequence with a₁ and 'd' is defined as

aₙ = a₁ + (n-1)d

Where

a₁ is the first term

d is the common difference

as

a₃ = 12

d = 3

so

Plug in n=3

a₃ = a₁ + (3-1)d

Now Plug in a₃ = 12 and d = 3

12 = a₁ + (3-1)3

12 = a₁ + 2(3)

12 = a₁ + 6

a₁ = 6

so

Formula to find the 5th term

a₅ = a₁ + 4d

Plug in a₁ = 6 and d = 3

a₅ = 6 + 4(3)

a₅ = 18

Therefore, the 5th term:

a₅ = 18

Stella predicted that she would sell 56 sculptures. She actually sold 30 sculptures. What are the values of a and b in the table below? Round to the nearest tenth if necessary.

Answers

Answer:

a=26 / 56 and b = 46.4 percent

Step-by-step explanation:

From the question, the Approximate value is given as = 56

While the Exact value is given as 30

Error

Absolute error= 56-30=26

Where Ratio= a= error/Approximate value=26/56

Percent error = b= 26/56×100%=46.4

it's a

have an nice day day

Order the following from least to greatest
( 94, 71 1/3, -8, -43 )

Answers

Answer:

-43, -8, 1/3, 71, 94

If you meant that 71 is a mixed fraction:

-43, -8, 71 1/3, 94

21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?

Answers

Answers:

2 sedans and 3 vans

=====================================================

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove ​

Answers

Answer:

(34-4)/2

Step-by-step explanation:

First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D  

John had 2 ¼ cans of paint leftover after painting his mural. Ann had 3 ⅜ cans leftover. How much paint was leftover altogether?

Answers

Answer:

5 5/8 or Decimal: 5.625

Step-by-step explanation:

Hope this helps!!!

Brainliest?

3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising. (a) What is the recursive rule for the sequence? (b) What is the iterative rule for the sequence?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

(a) What is the recursive rule for the sequence?

Given the sequence

6, 18, 54, 162,...

Please note that each successive term is 3 times the previous term.

i.e. 18 = 6×3, 54 = 18×3, 162 = 54×3

Here, r = 3 is the common multiplier

In other words, every next term can be obtained by multiplying the previous term by a number 'r', using the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

Here, aₙ is r times the previous term aₙ₋1.

For example, in order to determine the 2nd term a₂, just put n=2 in the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

so substituting r = 3, and n = 1 in the recursive formula

[tex]a_2=a_{2-1}\times 3[/tex]

[tex]a_2=a_1\times \:3\:\:\:\:\:\:[/tex]

as

a₁ = 6

so

[tex]a_2=6\times \:3\:\:\:\:\:\:[/tex]

[tex]a_2=18[/tex]

(b) What is the iterative rule for the sequence?

Given the sequence

6, 18, 54, 162,...

A geometric sequence has a constant ratio 'r' and is defined as

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]\frac{18}{6}=3,\:\quad \frac{54}{18}=3,\:\quad \frac{162}{54}=3[/tex]

The ratio of all the adjacent terms is the same and equal to, so

r = 3

as

a₁ = 6

so substituting r = 3 and a₁ = 6 in the nth term of the sequence

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=6\cdot \:3^{n-1}[/tex]

Thus, the iterative rule for the sequence is

[tex]a_n=6\cdot \:3^{n-1}[/tex]

a) The recursive rule for the sequence is [tex]a_n=3a_{n-1}[/tex]

b) The iterative rule for the sequence is [tex]a_n=2(3^n)[/tex]

The given sequence is:

6, 18, 54, 162, …

The common ratio, r = 18/6

r  =  3

Let the last term be [tex]a_n[/tex]

Let the preceding term be [tex]a_{n-1}[/tex]

The recursive rule for the sequence is given as:

[tex]a_n=a_{n-1}r\\\\a_n=3a_{n-1}[/tex]

b) The iterative rule is gotten by using the formula:

[tex]a_n=ar^{n-1}[/tex]

Substitute a = 6 and r = 3 into the formula above

[tex]a_n=6(3)^{n-1}\\\\a_n=\frac{6}{3}(3^n )\\\\a_n=2(3^n)[/tex]

Learn more on sequence here: https://brainly.com/question/6561461

PLease guys help!!!

Ice has ________ energy.
1. mechanical
2. cold
3. heat

Answers

Answer:

ice has kinetic enery

Step-by-step explanation:

Ice has heat energy

ice has kinetic/heat

Slope and y intercept of y=2.7x+8

Answers

Answer:

slope: 2.7

y-intercept: (0,8)

Step-by-step explanation:

In the form y = mx + b, m is the slope and b is the y-intercept.

slope : 2.7
y-intercept : (0,8)

which of the following is a solution of 3x^2=7x-3

a.) -7(plus or minus) square root of 13 over 6

b.) 7(plus or minus) square root of 85 over 6

c.) -7(plus or minus) square root of 85 over 6

d.) 7(plus or minus) square root of 13 over 6

Answers

The answer is freaking letter D
the answer is d. 7(plus or minus) square root of 13 over 6

match the equation with its graph . identify the slope and y-intercept y= -2/3x+1

Answers

Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation:

Ya tengo el resultado, debe ser "y=4x-4"
Pero le doy 15 puntos al que llegue a ese resultado y explique cómo llegó a él
El método de Descartes para determinar tangentes se basa en la idea de que para muchas gráficas, la recta tangente en un punto dado es una recta "única" que intersecta la gráfica solamente en ese punto. Aplicaremos ese método para determinar la ecuación de una recta tangente a la parábola y=x^2 en el punto (2,4).
Primero, sabemos que la ecuación de la recta tangente debe tener la forma de y=mx+b. Usando el hecho de que el punto (2,4) está en la recta, podemos resolver para b en términos de m y obtener la ecuación y=mx+ (4-2m). Ahora queremos que (2,4) sea la "única" solución del sistema
{ y=x^2
y=mx+4-2m
De este sistema obtenemos x^2-mx+(2m-4)=0. Usando la fórmula cuadrática obtenemos
m+- √(m^2-4(2m-4))
x= --------------------------------
2
Para obtener una solución única para x, las dos raíces deben ser iguales, en otras palabras, el discriminante m^2-4(2m-4) debe ser 0. Completa el trabajo para obtener m y escribe una ecuación de la recta tangente

Answers

Answer:

Ver desarrollo en los parrafos que siguen

Step-by-step explanation:

El problema describe todos los pasos para llegar al sistema the equaciones:

y = x^2

y = m x + 4 - 2 m

Luego igualamos las cantidades 'y" y llegamos a la siguiente ecuacion cuadratica en "x":

x^2 = m x + 4 - 2m

luego restamos "m x" y "4" de ambos lados, y sumamos "2 m" de ambos lados para terminar con una ecuacion cuadratica igualada a cero para poder aplicar la equacion cuadratica

x^2 - m x - 4 + 2 m = 0

similar a:

a x^2  + b x + c = 0

donde

a = 1; b = "-m"; y c = "2 m - 4"

Luego usando la ecuacion cuadratica:

nos da de resultado:

[tex]x=\frac{m+/-\sqrt{m^2-4(1)(2m-4)} }{2(1)}[/tex]

Y para que la solucion sea UNICA, es necesario que la cantidad dentro de la raiz sea "cero" de modo que de solamente la solucion

x = m/2

Ahora, requiriendo que el determinante the la ecuacion cuadratica sea cero es:

[tex]m^2-4(2m-4)=0\\m^2-8m+16=0\\(m-4)^2=0\\m-4=0\\m=4[/tex]

ya que reconocemos que el trinomio m^2-8m+16 es un binomio quadrado perfecto; (m-4)^2

Y pidiendo que that binomio quadrado sea cero, es lo mismo que requerir que el binomio (m-4) sea cero, lo que significa que m = 4.

De esta manera, obtuvimos la pendiente "m" de nuestra recta:

y = m x + b

y = 4 x + b

Y como conociamos el valor de "b" usando el hecho de que el punto (2, 4) esta en la recta:

4 = 4 (2) + b

4 = 8 + b

4 - 8 = b

b = -4

Por lo tanto, la ecuacion dela recta es:

y = 4 x - 4

A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?

Answers

0.08$

Step-by-step explanation:

1yrd=36inch

3yard=108inch

108 inch costs 8.64$

8.64/108=0.08$ ( 1 inch cost)

what is the slope of the line that passes through the points (0,0) and (5,20)

Answers

Answer:

The slope is 4

Step-by-step explanation:

hope this helps!

All male teachers better dom me rn tell me to stop misbehaving or else

Answers

1$7+p =www to the 5th so your correct

ma'am/sir please this is a Wendy's

1) Find the product of -5x2y4 and 3xy3

Answers

Answer:

Answer: -15x3y7

Step-by-step explanation:

Answer:

-15x3y7 is the answer

Step-by-step explanation:

It was a bumper crop for hominy this year, and The Hominy Man hoped to set a price for a case that can maximize profit. The annual fixed cost for the hominy harvesting and other equipment is $200 and the variable cost per case is $20. The price (p) is related to demand (v) according to the following equation: v = 800 - 16p. To maximize the profit, the optimal price of a case should be_____. The maximized profit is_____.

Answers

Answer:

optimal price = $35

Maximum profit = $3400

Step-by-step explanation:

We are given;

The annual fixed cost for the hominy harvesting and other equipment = $200

The variable cost per case = $20

Since demand is given as v, thus total variable cost = 20v

Thus;

Overall total cost = fixed cost + total variable cost = 200 + 20v

We are given relationship between p and v as;

v = 800 - 16p

Making p the subject gives;

p = (800 - v)/16

Now, total revenue is given by;

Total Revenue = vp

Thus;

Total revenue = v[(800 - v)/16] = 50v - v²/16

Now, profit will be;

Profit(P) = Total revenue - total cost

P = (50v - v²/16) - (200 + 20v)

P = 50v - (v²/16) - 200 - 20v

P = 30v - (v²/16) - 200

Maximum profit will be at dP/dv = 0

Thus;

dP/dv = 30 - (v/8)

At dP/dv = 0

30 - (v/8) = 0

v/8 = 30

v = 30 × 8

v = 240

Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.

Thus;

p = (800 - 240)/16

p = 560/16

p = $35

So, optimal price = $35

Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.

Thus;

P = 30(240) - (240²/16) - 200

P = 3400

Maximum profit = $3400

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