Find the zero of the function f(x)=4x^2-12x+9

Find The Zero Of The Function F(x)=4x^2-12x+9

Answers

Answer 1

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

f(x) = 4x² - 12x + 9

To obtain the zero let f(x) = 0 , that is

4x² - 12x + 9 = 0 ← in standard form

(2x - 3)² = 0 ← in factored form , then

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer 2

The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.

What is Quadratic polynomial?

A polynomial which has highest power 2 is called a quadratic polynomial.

Given that;

The function is;

f (x) = 4x² - 12x + 9

Now, To find zero of the function we equate the function to zero.

We get;

f (x) = 4x² - 12x + 9

4x² - 12x + 9 = 0

Solve the function by quadratic formula we get;

x = - (-12) ± √12² - 4 × 4 × 9 / 2 × 4

x = 12 ± √144 - 144 / 8

x = 12 ± 0 / 8

x = 12/8

x = 3/2

Thus, The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.

Learn more about the zero of function visit:

https://brainly.com/question/11514041

#SPJ2


Related Questions

A rectangular section of wilderness will be set aside for a new wildlife refuge. It's dimensions are 5.2 × 105meters by 3.7 × 106meters. Find the area of the land in square meters.

Answers

Answer:

19.24*10^11meters

Step-by-step explanation:

Given the dimensions are

length=  5.2 × 10^5meters

width= 3 .7 × 10^6meters

We know that area is given as

Area=length * width

Area=5.2 × 10^5* 3 .7 × 10^6

Area= 5.2*3.7*10^5+6

Area=19.24*10^11meters

Therefore the area is 19.24*10^11meters

6th grade math let’s gooo

Answers

Answer:

4/5 is greater than 3/15,, 3/15>4/5

Step-by-step explanation:

3/15 is equal to 1/5, so 4/5 is greater

Mandy drives 60 miles with a friend. It takes her an hour and a half to do so.
At this rate, how many miles will she drive in 5 hours?

Answers

Answer:

12

Step-by-step explanation: 5 dived by 60 equals 12 miles she will drive in 5 hours.

Answer:

200

Step-by-step explanation:

i did super speedy math in my head i said 60/3=20*2=40*5=200

Violet wants to make bouquets with roses and carnations. She has 12 roses
and 16 carnations. If each bouquet has the same of number of roses and
carnations, what is the greatest number of bouquets Violet can make? Be
sure to label your answer and spell the word correctly.
Your answer

Answers

Answer:

4 bouquets

Step-by-step explanation:

She can make four bouquets, being that 4 is the greatest common factor of both 12 and 16

ninas garden is 4 meters long and 3/10 meters wide what is area of nina garden

Answers

Answer:

1.2 m^2

Step-by-step explanation:

4 times .3 = 1.2

The table shows the number of balls, by sport, in the gym.
Sport
Number of balls
Basketball
12
Dodgeball
16
Soccer ball
8
Tennis ball
14
Select the true statements about the information in the table.
Choose all answers that apply

Answers

Answer:$:7.

Step-by-step explanation:

Answer:

4:7

Step-by-step explanation:

What type of relationship is expressed below?
3.0 + 2 > 10

Answers

Answer:

The type of relationship expressed below is an INEQUALITY

Step-by-step explanation:

To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.

Add 3.0 and 2, you get 5.

5 isn't greater than 10 so this inequality would be incorrect.

a basketball pole is 10 feet high and cast a 12 foot shadow .a player standing nearby is 5 feet tall .how long is the player's shadow ?​

Answers

Answer:

6 feet

Step-by-step explanation: If a 10 foot object casts a 12 foot shadow, that means the shadow is 1.2 times the objects height. If the person is 5ft tall 5 x 1.2 = 6 feet

Answer:

6 ft. Shadow

Step-by-step explanation:

I am not 100% sure if this is correct but hopefully it is!

If something 10ft. high casts a 12ft. shadow then something half of 10ft. or 5 ft. would cast a 6ft. shadow.

Hope this Helps!!! :)

There were seventeen bales of hay in the barn and thirty bales in the shed. Mike stacked more bales in the barn today. There are now seventy-four bales of hay in the barn. How many bales did he store in the barn?

Answers

Answer: 57

Step-by-step explanation: x = 74 - 17

Question is in the picture please solve

Answers

WHAT PIcture I don’t see it

can someone answer these and plz show ur work?

Answers

Step-by-step explanation:

2(x-3)+3=6x-5

2x-6+3=6x-5

2x-3=6x-5

2x-6x= -5+3

-4x=-2

x=2/4

x=1/2

4(x-6)+4=6x-8

4x-24+4=6x-8

4x-20=6x-8

4x-6x= -8+20

-2x=12

x= 12/2

x= -6

at 3 pm the temperature was 12 fahrentine it began dropping 2 farenhit every hour for 7 hours. what was the temperature after 7 hours

Answers

Answer:

-2 farenhite

Step-by-step explanation:

7 times 2 = 14

12 - 14 = -2

And then you label :)

Hope I helped!

Answer: negative 2

Step-by-step explanation: take 2 away from 12 7 times then you got your answer

please help!!!!!!!!!!!​

Answers

Answer:

m<3 = 82°, m<2 = 98°, m<4 = 98°

Step-by-step explanation:

360 - Overall Sum

m<1 = m<3 (They are symmetrical)

m<2 = m<4 (They are symmetrical)

if m<1 = 82°, then m<3 = 82° [= 164]

360 - 164 = 196

if m<2 = ?°, then m<4 = ?° [= 196]

196/2 = 98

Convert the equations from standard from slope-intercept form.
2x-y = -7

Answers

Answer:

Step-by-step explanation:

2x-y=2 is in standard form

(3,4) is a point on the line

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

y=2x-2 is in slope-intercept form

y-y1=m(x-x1) is point-slope form, where m is the slope and (x1,y1) is a point on the line

y-4=2(x-3) is in point-slope form

0.3 km are in how many meters

Answers

Answer:

300

Step-by-step explanation:

Answer:

300 meters

Step-by-step explanation:

formula to convert kilometers into meters is to multiply the length value by 1000.

Hope this helped.

25x5 i need help answer asap

Answers

Answer:

125

Step-by-step explanation:

25 + 25 + 25 + 25 + 25 = 125

Answer:

25 x 5 = 125

Step-by-step explanation:

Hope this helps!

What is the domain?
thing
HELP PLZ IM FINNA CRY NO ONE WANTS TO HELP ME

Answers

Domain is x’s, and range is y’s
Therefore, the domain here is
1,4,2

Hope this helps!!

The larger of two integers is 7 times the smaller. The sum of the integers is at most 60. What are the largest two integers that can make these statements true?

Answers

Answer:

Step-by-step explanation:

[tex]X_1 = 7X_2\\X_1 + X_2 \leq 60\\7X_2 + X_2 \leq 60\\8X_2 \leq 60\\[/tex]

since the two numbers are integers,

the largest the smaller number can be is 7

so our numbers are

[tex](1, 7), (2, 14), (3, 21), (4, 28), (5, 35), (6, 42), (7, 49)[/tex]

the two integers are 7, 49

The largest two numbers which make the statement true are 7 and 49.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that the larger of two integers is 7 times the smaller. The sum of the integers is at most 60.

The two equations will be,

x₁ = 7x₂

x₁ + x₂ ≤ 60

7x₂ + x₂≤ 60

8x₂ ≤ 60

The collection of the numbers are (1,7),(2,14),(3,21),(4,28),(5,35),(6,42),(7,49).

The largest number is 7 in the collection.

Therefore, the largest two numbers which make the statement true are 7 and 49.

To know more about the number system follow

https://brainly.com/question/17200227

#SPJ2


are two quadrilaterals with the same side lengths
always congruent?

Answers

Answer:

no

Step-by-step explanation:

angles must be congruent as well

Two quadrilaterals with the same side lengths not always congruent.

We need to check whether two quadrilaterals with the same side lengths

always congruent.

What are congruent shapes?

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same. To do this we need to check all the angles and all the sides of the shapes. If two shapes are congruent they will fit exactly on top of one another.

Generally we have to put side's interior angles of one quadrilateral in correspondence with sides and angles of another and to prove that all correspondence with sides and angles of another and to prove that all corresponding pairs of sides and angles are congruent.

No, two quadrilaterals with the same side lengths not always congruent.

To learn more about the congruent quadrilaterals visit:

https://brainly.com/question/8181188.

#SPJ2

The smith family had 1/2 of a pizza left over. The next day, Jayce are 1/4 of the leftovers. How much of the pizza did he eat?

Answers

Answer:

1/8

Step-by-step explanation:

If Jayce ate 1/4 of 1/2, that is the same thing as multiplying the two values.

1/4 times 1/2 = 1/8

Answer:

1 slice

Step-by-step explanation:

A pizza has 8 slices so if half the pizza was leftover then 4 slices were left and 1/4 of 4 is 1

What is the reflection across the x-axis of the triangle E(-3, -4), F(-2, 1), G(0, -3)?l

Answers

Answer:

Step-by-step explanation:

can you show the picture

4 puntos) Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

Answers

Answer:

a) Las restricciones limitantes son;

1) La duración de tiempo de 2400 minutos.

2) La tela límite (algodón) de 500 m

b) El número máximo de pedidos de buzos (chaquetas y pantalones) que podrá entregar en una semana de trabajo es de 166 pares de chaquetas y pantalones.

Su beneficio máximo es 32,2[tex]\bar 7[/tex]·S

Step-by-step explanation:

a) El número de horas al día que trabaja el fabricante = 8 horas

Dado que la máquina puede hacer pantalones en 4 minutos y chaquetas en 10 minutos

Sea x = la cantidad de pantalones hechos en un día, e y = la cantidad de chaquetas hechas en una semana

Tenemos;

4 · x + 10 · y = 8 × 60 × 5 = 2400

x = y

Por lo tanto;

4 · x + 10 · y = 4 · x + 10 · x = 14 · x = 2400

x = 2400/14 ≈ 171,43, por lo tanto, redondeamos hacia abajo para dar;

x = 171

Por lo tanto, el fabricante fabrica 171 pantalones y 171 chaquetas durante la semana.

El material requerido para el pantalón = 171 m de algodón y 342 m de poliéster.

El material requerido para la chaqueta = 342 m algodón y 171 m poliéster

Para el material, tenemos [

a = Algodón, b = Poliéster

a + 2 · b = x

2 · a + b = y

3 · a + 3 · b = x + y = 2 · x

Dado que se requiere igual longitud de algodón y poliéster, dado por el coeficiente de ayb, y que la longitud del algodón es 500 m, que es menor que la longitud del poliéster, tenemos;

El número máximo de pantalones y chaqueta completos = 500/3 = 166,67 m, que se redondea a 166 pares

b) El número máximo de pares de pantalones y chaquetas que el fabricante podrá entregar en una semana de trabajo = 166 pares

Por tanto, el beneficio máximo será

La ganancia máxima = 166 × (S / 9 + S / 12) = 581 · S / 18 = 32.2[tex]\bar 7[/tex]·S.

La respuesta a esta pregunta consiste en resolver un problema de Programación lineal ( Maximizando la ganancia de la semana).

La solución  es:

x = 180

y = 160

z ( max) = 3540 $

La siguiente tabla ordena los datos del problema para la elaboración de las distintas restricciones y la formulación de la función Objetivo

Tiempo disponible :  8 × 5 × 60  = 2400 minutos

                                                 algodón  Poliéster    tiempo   Ganancia

                                                 ( metros)  ( metros)    minutos      $

Cantidad de pantalones (x )         1                2                4            9    

Cantidad de casacas (y)                2               1                10           12

Disponibilidad                             500           520           2400

Función Objetiva:    z  =  9× x   +  12 × y    a maximizar

Restricciones:

1.-Cantidad de metros de tela de algodón disponible: 500 metros

x  +  2×y  ≤ 500

2.-Cantidad de metros de tela de poliester disponible: 520 metros

2 × x + y  ≤ 520

3.-Disponibilidad de tiempo: 2400 minutos

4 × x + 10 × y ≤ 2400

Restricciones generales:

x ≥ 0   y ≥ 0    enteros

Con el uso de AtoZmath solver

La solución :

x = 180

y = 160

z ( max) = 3540 $

Related Link : https://brainly.com/question/13610156

Unit 1 lesson 5 rotation or reflection

Answers

The answer to the question is rotation

PLEASE SOMEONE HELP ASAP!!! -5(p+3/5)=-4 what does the p=?

Answers

Answer:

p=1/5

Step-by-step explanation:

Distribute -5 through the parenthese.

Move constant to the righ-hand side and change the sign.

Calculate the sum -5p=-1

Divide both sides by -5

Answer:

1/5

Step-by-step explanation:

Expand the equation

-5p -3= -4

Collect like terms

-5p = -4 +3

-5p = -1

Divide both sides by -5

p = 1/5

PLEASE HELP ME !!! :(

the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the domain and the range of this function?

Answers

Answer:

A. domain is [-k,∞), and the range is (-∞,c]

which of the following quantities are discrete 1. the number of students who passed the english test 2. the speed of a car 3. the temperature throughout the day 4. the number of pages in a book

A. only 4
B. 2 and 3
C. 1, 2, and 3
D. 1 and 5​

Answers

Answer:

A. only 4

Step-by-step explanation:

4+2.2h=-3.7





Plz hurry and solve

Answers

Answer:

h=−3.5

Step-by-step explanation:

Plz give me brainliest if this helps :)

HELP -BRAINLIEST!!!!!!!

Answers

Answer:

x = -2/3 for the first one because the 2nd one is upside down

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

can i have my brainlist now

HELLPP whatis the quotient of 30,807 and 63?

Answers

Answer:

should be 67 hope that helps

Answer:

Step-by-step explanation:

When we divide 30,807 by 63 the quotient is 489

Hope this helps

plz mark as brainliest!!!!!!

what point does NOT lie on the graph y=f-1 (x)

(-3,0)
(1,-1)
(7,5)
(11,7)

Answers

(-3,0) this is the answer
The answer is (-3,0)
Other Questions
What is the product of 70 x 10^4? Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r < 0. Then plot the point. (2, -3) Question #1DropdownIdentify the type of data for each value below.12.023O stringO floatO int Hello WorldO stringO floatO int 52O stringO floatO int Which observation could lead to the conclusion that an object is non-living?a) it is composed of a cell, but does not have tissuesb it carries out synthesis of proteinsc it cannot perform metabolic processesd it passes on hereditary information only through asexual reproduction Need Help ASAP question is in pic A company with no debt in its capital structure would have a weighted average cost of capital equal to its _______. A television program is a primary source true or flase? plz help with problem What are some example of rule of thirds to take pics at home ( for photography) The math club has 12 members. Each member pays monthly dues of $13.20. On the first day of the month, 8 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month? Kali went on a school field trip to the Monterey Bay Aquarium. She left school and traveled onthe bus to the aquarium at an average speed of 50mph. Determine the number of hours onthe bus if they traveled 175 miles. 2. Josepara el aeropuerto.a llegab traeC saled pone If 24 is 12 times larger than 2, which statement below is true?A) 2 is 24 times larger than 12B) 12 is 2 times larger than 24C) 24 is 2 times larger than 12D) 2 is 12 times larger than 24 A car starts at a position of 4km and moves a final position of 5 km. What is the total distance traveled by the car? A. 1 kmB.-9 k m C. 9 kmD. -1 km How do scientists determine the number of neutrons in an isotope of an atom?They subtract the atomic number from the atomic mass.They find the number of protons.They divide the atomic mass by two.They add the number of electrons and protons. b) work out 1 3/4 x 4 1/6 economyA village of hunters and gatherers is a good example of aA) traditionalB) capitalistC) communist 63 new houses were built, so far 6/7 of them have been sold. How many new houses were sold? What is the radius of a hemisphere with a volume of 10470 in?, to the nearest tenthof an inch? The box-and-whisker plot represents the numbers of gallons of water needed to fill different types of dunk tanks offered by a company. A box-and-whisker plot shows the number of gallons of water. The whiskers range from 350 to 750. The box ranges from 450 to 600 with the vertical bar inside the box at 500. a. What fraction of the dunk tanks requires at least 500 gallons of water? Write the fraction in simplest form. About of the dunk tanks require at least 500 gallons of water.