The parabola with equation $y=ax^2+bx+c$ is graphed below:

(attached)

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?

The Parabola With Equation $y=ax^2+bx+c$ Is Graphed Below:(attached)The Zeros Of The Quadratic $ax^2

Answers

Answer 1

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer 2

Answer:

2

Step-by-step explanation:

Source: AOPS

The Parabola With Equation $y=ax^2+bx+c$ Is Graphed Below:(attached)The Zeros Of The Quadratic $ax^2

Related Questions

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127) and (36, 163).
The scatterplot shows how many pass attempts and yards a quarterback has in different football games. Notice that the line passes through the second point from the left, (24, 127) and the farthest point on the right (36, 163).

What is the slope of the trend line?

Answers

Answer:

1/3x

Step-by-step explanation:

Subtract x by x and y by y to find the distance/difference

36            163

24,          127

= 12/36 = rise/run

Now reduce to find the slope, reduce until you can't anymore.

12/36

6/18

3/9

1/3 (that's your slope)

On the coloring sheet, thd a ratio
is equivalent to 3/10.

Answers

Answer:

Equivalent ratios:

3 : 10   6 : 20   9 : 30   12 : 40   15 : 50   18 : 60   21 : 70   24 : 80   27 : 90   30 : 100   33 : 110   36 : 120   39 : 130   42 : 140   45 : 150   48 : 160   51 : 170   54 : 180   57 : 190   60 : 200   63 : 210   66 : 220   69 : 230   72 : 240   75 : 250   78 : 260   81 : 270   84 : 280   87 : 290   90 : 300

( Brainlyst will help my rank <3 )

Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro

Answers

Responder:

Número de bueyes = 12

Número de vacas = 24

Explicación paso a paso:

Dado que :

Número de vacas compradas = 2 veces el número de bueyes;

Sea número de bueyes = y

Número de vacas = 2 años

Costo de la vaca = 70

Costo de bueyes = 85

Costo total = 2700

Por lo tanto;

(2 años * 70) + (y * 85) = 2700

140 años + 85 años = 2700

225 años = 2700

225 años / 225 = 2700/225

y = 12

Número de bueyes = y = 12

Número de vacas = 2y = 2 * 12 = 24

y + 4 + 2x + 3y

can someone simplify it

Answers

Answer:

2x+4y+4

Step-by-step explanation:

Answer:

y×(1+3)+2×(2+x)

Step-by-step explanation:

y(1+3)+2x+4

2(x+2)

What is the value of f(3) ?

Answers

Answer:

f(3)=-60

Step-by-step explanation:

f(3)=5*(3^2)-7(4*3 + 3)

f(3)=5*9 - 7*15

f(3)=45-105

f(3)=-60

Answer: -60

Step-by-step explanation:

f(3) means that you replace the input function of x with 3; So, your equation would look something like this:

5(3)^2 - 7(4(3) +3)

= 5(9) - 7(15)

= 45 - 105

= -60

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3

-48x7y3

-48x10y2

Answers

Answer:

C.

-48x7y3

Step-by-step explanation:

The next answer on edge is also C. 9a8 + 24a4 + 16

The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.

What is multiplication?

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given the two terms,

-8x⁵y² and 6x²y

If we multiply

-8x⁵y² ×  6x²y = (-8)×6 × x⁵y² × x²y

⇒ - 48 × x⁵x² y²y¹

⇒ - 48 × x⁵⁺²y²⁺¹

⇒ - 48x⁷y³

Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".

For more information about multiplication,

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I NEED HELP PLEASE!!!!

Which function represents the sequence in the table?

Answers

Answer:

The answer is B

Step-by-step explanation:

So basically the graph starts at 1=-3, 2=-1, 3=1 and so on because of this we now that the graph is going up by two therefore it's B

Nina cuts a 1 3/4 cm piece of paper from a strip measuring 2 7/8 cm. How much paper is left?

Answer with solution pls :]​

Answers

Answer:

1.125

Step-by-step explanation:

1 and 3/4 = 1.75

2 and 7/8 = 2.875

So

2.875 - 1.75 = 1.125

Estimate 8 x 342 hehehhe

Answers

Answer:

2736

Step-by-step explanation:

8

×  3 4 2

1

1 6

3  

3 2 0

2  

2 4 0 0

2 7 3 6

Answer:

whqt the oth3r pers0n s4id

Step-by-step explanation:

vfrtgebcydhnnnnkmkmznjjjdcbhjfjmcmdx

a que vista del solido corresponde la figura 2

Answers

Donde esta la foto para poder ayudarte ??

¿Dónde está la pregunta que estás haciendo? No veo opciones, amigo.

Will give 20 points if you answer correctly, will give brainliest! Please answer and EXPLAIN! Thanks

write the slope intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation (-3,5), y=-5x+3

a. y= 10x-5
b. y=-5x-10
c. y=-5x+10
d. y+1/5x-5

Please help! Thx!

Answers

Answer: B

Step-by-step explanation:

so for the slope to be parallel, it means it's the same slope as the given equation which is -5

using point slope, we can write a new equation

y -5 = -5(x+3)

y -5 = -5x-15

y = -5x-10

help me please thanks ​

Answers

It’s the last one, you can check by plugging in the numbers (x,y) and if it’s the same as the number after the equals sign it’s that one

El entrenamiento que hace marco 10 dias antes de su carrera es constante. Diariamente corre 45 minutos a una velocidad de 30 km-h ¿Cuántos kilómetros ha corrido Marcos durante esos 10 dias?

Answers

Responder:

225 kilometros

Explicación paso a paso:

Dado que :

Velocidad de funcionamiento = 30 km / h

Duración = 45 minutos

Número de días = 10 días

Distancia total recorrida por día:

Duración en horas:

45 minutos / 60 = 0,75 hora (s)

Así, la distancia recorrida por día:

Tiempo de velocidad

30 km / h * 0,75 h = 22,5 km

Por lo tanto, la distancia total recorrida durante 10 días:

Distancia recorrida diariamente * 10

22,5 kilometros * 10 = 225 kilometros

HELP- 11 points!

Find three consecutive integers with a sum of -36. First, write an equation, then solve.

Answers

(x)+(x+1)+(x+2)=-36
3x+3=-36
3x=-39
x=-13
The numbers are -13, -12, -11

The fraction 3/8 is closest to which benchmark?


zero
one-half
seven-eights
one

Answers

Answer:

I would say one-half

Step-by-step explanation:

because its 3/8 and is close to 4/8 which is equal to 1/2

Answer:

1/2

Step-by-step explanation:

1/2 × 4 = 4/8 jdvegeje shhe

Joseph has 48 comic books. He sold one-fourth of his collection to his friend. He brought twice the number of comic books as he has now.how many comic books does he have now?

Answers

Answer:

108

Step-by-step explanation:

Given that Joseph has 48 comic books.

As he sold 1/4 of his collection to his friend, so

The number of books, Josef sold = 1/4 x 48 = 12.

The number of remaining books, Josef has = 48 - 12 = 36.

As he brought twice the number of comic books as he has now, so,

the number of comic books, Josef brought = 2 x 36 = 72.

Now, total number of comic books, Josef has = 36 + 72 = 108.

0
ef
gh
A. dº + fº = 180° B. gº + fº =
C. Cº + f 0 = 180° D. bº + 0 =
The circumference of a circle is 88c
Calculate the radius of the circle.
A. 14cm
B. 42cm
C. 56cm
D. 28cm
and 415.​

Answers

About 28cm

circumference of a circle =radius×3.14

3.14÷circumference of the circle (88cm)=28.04.

About 28cm.

Answer to this :0000 thanks!

Answers

Answer:

B

Step-by-step explanation:

have a nice day :)


The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1

Answers

Answer:

881 (-6x)

Step-by-step explanation:

881 (-6x) i think that the answer



The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
18 cm
Calculate the total shaded area.
Take it to be 3.142 and write down all the digits given by your calculator.

Answers

Answer:

69.498

Step-by-step explanation:

first find the area of the whole square (how i saw it), remember

it is made up of a circle drawn inside a square.

so we do the area of the square = 18²

= 324

next we find the circle which was drawn, the circle covers up the

whole shaded square.

diameter would be 18 as the length of the square was 18,

then we find the radius, 18/2 = 9

now we use πr²,

r would be the radius  (9)

therefore it would be π(81) and we get 254.502

now we take away the area of the circle covering the square

from the area shaded in,

therefore  324 - 254.502

= 69.498

( 1st time ive posted an answer btw )

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

evaluate the polynomial for the given values of x and y
5x^2y+3xy^2+10y^3; for x= 2 and y= -1

Answers

try nio po i-download ung Hiper scientific calculator

sana masagutan nio po

sana makatulong din po ung app na yan

PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?

Answers

Answer:

Right.

Step-by-step explanation:

The answer is right on edge2020 I just took the test.

The direction in which the parabola will open is; To the right

What is the equation of a parabola?

We are given;

The vertex of the parabola is at (0, 0)

Directrix of the parabola is x = -4

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

Thus, we can conclude that the parabola opens towards the right.

Read more about Parabola at; https://brainly.com/question/17987697

How can you tell a triangle is similar with having only one side number?

Answers

Answer:

If the pictures are relevant:

Step-by-step explanation:

Measure the sides, or look for the best fit image

Select the correct answer.
What is the solution to this equation?
4(^3 sqrt x – 2) + 1 = 9
A. 10
B. 6
C. 0
D. 8

Answers

Answer:

I got B too so I sure could be right answer but if it's not then I so sorry. B. 6

The solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be x = 1.08.

What is a equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9

The given equation is -

[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9

[tex](4)^{3\sqrt{x} -2}[/tex]  = 8

Assume 3[tex]\sqrt{x}[/tex] = n. Then, we can write the equation as -

(4)ⁿ ⁻ ² = 8

(4)ⁿ ÷ (4)² = 8

(4)ⁿ x 1/(4)² = 8

(4)ⁿ = 8 x 16

(2)²ⁿ = (2)³ x (2)⁴

2n = 3 + 4

2n = 7

n = 7/2

3[tex]\sqrt{x}[/tex] = 7/2

[tex]\sqrt{x}[/tex] = 7/6

x = 1.08

Therefore, the solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be

x = 1.08.

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HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *

Answers

Answer:

true

Step-by-step explanation:

Which descriptions match the given transformations?

Drag and drop the answer into the boxes.

Answers

Answer:

f(z) is translated 3.5 units left.


Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm

Answers

Answer:

D

Step-by-step explanation:

Refer to the picture that givem

The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x2 - 6. Write a rule for g. Then identify the vertex.
The vertex is

Answers

Answer:

f(x)=8x^2-6

f(x) = a (x -h)2 + k

horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

reflection in y axis -> x value is negative

g(x) = 8*(1/2 x)2 - 6 + 2

g(x) = 2 x2 -4

Step-by-step explanation:

The vertex will be at g(x) = 2x² -4.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that the graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of

f(3) = 8x² - 6.

f(x)=8x²-6

f(x) = a (x -h)2 + k

Horizontal stretch by a factor of 2 -> 1/2 x

2 units up -> k = 2

Reflection in y axis -> x value is negative.

g(x) = 8 x (1/2 x)² - 6 + 2

g(x) = 2x² -4

Therefore, the vertex will be at g(x) = 2x² -4.

To know more about a graph follow

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1. (9х3 + 5x)
- 7x - 3x)
Help me solve this and give me the answer.

Answers

Answer:

2x³ + 8x

General Formulas and Concepts:

Pre-Alg

Distributive Property

Alg I

Combining like terms

Step-by-step explanation:

Step 1: Define

(9x³ + 5x) - (7x³ - 3x)

Step 2: Solve

Distribute negative:               9x³ + 5x - 7x³ + 3xCombine like terms:               2x³ + 8x
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