x^2 + 2 = 3^2/3 + 3^-2/3
x^2 = 3^2/3 + 3^-2/3 - 2
x = √(3^2/3 + 3^-2/3 - 2)
x = 0.748888296
Substitute for x in 3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
6th grade math let’s gooo
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
A brother and sister are comparing their ages. The older sister is 8 years less than twice the brother’s age. The sum of their ages is 25 years. Let "x" be the age of the brother. Set up and solve an equation for x.
Answer:
The brother is 11 years and the sister 14 years
Step-by-step explanation:
Let x represent the age of the brother and let y represent the age of the sister. Since the sum of their ages is 25 years, the sum can be represented by the equation:
x + y = 25 (1)
The sister age is 8 years less than twice the brother’s age, this can be represented by the equation:
y = 2x -8
2x - y = 8 (2)
Solve equation 1 and equation 2 simultaneously. Add equation 1 and equation 2, this gives:
3x = 33
x = 33/3
x = 11 years
Put x = 11 in equation 1:
11 + y = 25
y = 25 - 11
y = 14 years
HELP -BRAINLIEST!!!!!!!
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
please help!!!!!!!!!!!
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
what point does NOT lie on the graph y=f-1 (x)
(-3,0)
(1,-1)
(7,5)
(11,7)
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?
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.
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Question is in the picture please solve
Convert the equations from standard from slope-intercept form.
2x-y = -7
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
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?
Answer: 57
Step-by-step explanation: x = 74 - 17
What type of relationship is expressed below?
3.0 + 2 > 10
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.
ninas garden is 4 meters long and 3/10 meters wide what is area of nina garden
Answer:
1.2 m^2
Step-by-step explanation:
4 times .3 = 1.2
What is the domain?
thing
HELP PLZ IM FINNA CRY NO ONE WANTS TO HELP ME
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
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
PLEASE SOMEONE HELP ASAP!!! -5(p+3/5)=-4 what does the p=?
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
There are 272 students in a school and there are 7 classrooms in total. If one classroom has
8 students and the rest of the classrooms have the same number of students, how many
students are there in each of the remaining 6 classrooms? Write and solve a two-step
equation to answer the question.
Answer:
6x + 8 = 272
44 students in each of the remaining 6 classrooms
Step-by-step explanation:
There are 7 classrooms.
1 classroom has 8 students.
The remining 6 classrooms have the same number of students each.
Let the number of students in each of the 6 classrooms be x.
In all 6 classrooms combined, there are 6x students.
Now add the 8 students of the 7th classroom.
The total number of students in all 7 classrooms is 6x + 8.
We are told there are 272 students in total, so we get the following equation.
6x + 8 = 272
Now we solve the equation.
Subtract 8 from both sides.
6x + 8 - 8 = 272 - 8
6x = 264
Divide both sides by 6.
6x/6 = 264/6
x = 44
There are 44 students in each of the 6 classrooms.
Unit 1 lesson 5 rotation or reflection
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 ?
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!!! :)
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?
Answer:
A. domain is [-k,∞), and the range is (-∞,c]
are two quadrilaterals with the same side lengths
always congruent?
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.
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0.3 km are in how many meters
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.
Which of the following is equal to the rational expression when x+1 or-1?
5(x-1)
(x + 1)(x - 1)
5
A.
X-1
5
O B.
X+ 1
C.
5(x-1)
x + 1
D.
5
(x - 1)(x + 1)
can someone answer these and plz show ur work?
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=1/24(x-6)+4=6x-8
4x-24+4=6x-8
4x-20=6x-8
4x-6x= -8+20
-2x=12
x= 12/2
x= -6which 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
Answer:
A. only 4
Step-by-step explanation:
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
Answer:$:7.
Step-by-step explanation:
Answer:
4:7
Step-by-step explanation:
25x5 i need help answer asap
Answer:
125
Step-by-step explanation:
25 + 25 + 25 + 25 + 25 = 125
Answer:
25 x 5 = 125
Step-by-step explanation:
Hope this helps!
HELLPP whatis the quotient of 30,807 and 63?
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!!!!!!
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
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
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?
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
4+2.2h=-3.7
Plz hurry and solve
Answer:
h=−3.5
Step-by-step explanation:
Plz give me brainliest if this helps :)
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?
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