Select all the correct answers.
Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where
t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300.
which statements are true about the expression representing Cineplex's total profits in that city?
Answers
Answers:
The total profit expression is a binomial.
The total profit expression is a polynomial.
The total profit expression has a constant term.
The total profit expression is a polynomial
The total profit expression is a binomial
The total profit expression has a constant term
The first step to determining which type of function it is, is to add the profits in both theatres together
(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400
A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomials include :
1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.
An example is x + 2
The variable x is raised to the power of 1. 2 is the constant terms
2. Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.
An example is 2x² + 10x + 25
3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.
An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms.
An example is t³ - 400
t³ - 400
The above equation of the total profit has a constant term which is -400
The above equation is a polynomial. This is because it has different types of variables.
The above equation is a binomial equation because it has only two terms t³ and 400
In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.
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Related Questions
Solve −1/4x=7 please
Answers
Answer:
x = -28
Step-by-step explanation:
−1/4x=7
Multiply each side by -4 to isolate the variable
-4 * −1/4x= -4*7
−1/4x=7
Brainliest, 10 points
You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
Answers
commas and capital letters
The formula below gives the area of a semi-circle, A, with a radius of r.
Solve the formula for the radius
Answers
The area of a semicircle with respect to radius is √2A/π sq. units.
What is a semicircle?A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.
The area of a semicircle = π × radius² / 2
So, the area with respect to radius will be =
A = π × radius² / 2
2A = π × radius²
2A / π = radius²
Radius = √2A/π
Hence, the area of a semicircle with respect to radius is √2A/π sq. units.
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The equation a + b + c = 180 describes the sum of the angles in a triangle.
Use this formula to find the values of a, b and c when b = 2a and c = 3a
Answers
Answer:
a=30 b=60 c=90
Step-by-step explanation:
you replace b with 2a and c with 3a and you get
a+2a+3a=180
6a=180
a=30
from here you replace a with 30 and find b and c
b=2a=2*30=60
c=3a=3*30=90
Una empresa fabrica dos productos, X y Y. Cada cantidad del articulo X producida requiere dos horas de trabajo en una taladradora, y cada unidad del articulo Y, cinco horas de trabajo en la taladradora. La empresa tiene un máximo de 40 horas de trabajo para la taladradora en la semana. La expresión algebraica que modela esta situación es: 2x +5y<40. a)Graficar dicha expresión b) ¿Es posible fabricar 10 unidades del producto X y 5 unidades del producto Y ?Justificar
Answers
Answer:
la respuesta esta abajo
Step-by-step explanation:
a) Sea x el número del artículo x mientras que y representa el número del artículo y.
Dado que cada cantidad de artículo x requiere 2 horas de trabajo de perforación, mientras que cada cantidad de artículo y requiere 5 horas de trabajo de perforación. Hay un máximo de 40 horas disponibles, por tanto el modelo se da como:
2x + 5y ≤ 40
b) La trama se trazó utilizando la herramienta gráfica en línea de geogebra.
c) Para 10 unidades de X y 5 unidades de y:
2 (10) + 5 (5) = 45> 40
Por lo tanto, esto no sería posible porque requerirá 45 horas de perforación, lo que es más que el máximo de 40 horas disponibles.
Answer pleaseeeeeee !!!!
Answers
Answer:
Option C.
Step-by-step explanation:
Ok, first we know that:
Tan(0) = 0
While in the graph, we can see that:
f(0) = -2
Then our function will be something like:
f(x) = tan( k*x) - 2
We also can see that the graph has asymptotes at x = π/2 and at x = -π/2
While the normal tangent equation has the asymptotes at x = pi
So here we have that:
k*(pi/2) = pi
k = pi*(2/pi) = 2
k = 2
then the function is something like:
f(x) = tan(2*x) - 2
If we look at the options, we can see one that is:
tan( 2*(x + π)) - 2
we can rewrite this as:
tan(2*x + 2π) - 2
And remember that the period of a trigonometric function is 2π
This means that:
tan(a + 2π) = tan(a)
Then:
tan(2*x + 2π) - 2 = tan(2*x) - 2
Which is the function that we found.
Then the correct option is C
Members at a gym pay $9 per class plus a one-time $120 membership fee. Non-members pay $15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?
Pls help I have only a few for mins and I need step by step equation :) pls pls pls
Answers
Answer:
the answer is 45 dollars
Step-by-step explanation:
its because:
Answer:
25 dollors hope this helps
Step-by-step explanation:
.178 as a fraction on simplest form
Answers
Answer:
89/500
Step-by-step explanation:
Why does the congruency of all angles not prove the congruency of two triangles?
Answers
Draw an equilateral triangle with side lengths 5 inches each. Each interior angle is 60 degrees (this is true of any equilateral triangle).
Now draw an equilateral triangle of 10 inches each. The angles will be the same as before. We can see that the triangles are not congruent. Congruent triangles must have the same side lengths, but clearly the second one is larger than the first.
This is an example of why knowing solely the congruency of the angles is not enough to prove the triangles congruent or not. We would need to know something about the sides (whether they are congruent or not) to be able to determine overall triangle congruency.
Answer:
Because even though the angles may be the same, the lengths can be different. In an isosceles triangles, this may be the case.
Step-by-step explanation:
30 members of a local gym were randomly selected to answer a survey. The selected gym members were between the ages of 50 and 65. Does that mean that all of the gym members are between the ages of 50 and 65?
Answers
Answer:
no
Step-by-step explanation:
no, only the selected were from that ages that doesnt mean they are ALL in that age range
Not all the members who are randomly selected, are between the ages of 50 and 65.
What is the procedure of random selection?"Random Selection is a procedure of collecting a sample for a particular experiment in a truly random way."
30 members of a local gym were randomly selected to answer a survey.
The selected gym members were between the ages of 50 and 65.
Therefore, not all the members are between the ages of 50 and 65.
Only those 30 members who are selected randomly, fall in the age group of 50 and 65.
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If the bearing of B from A is 302, what is the bearing of a from B ?
Answers
Answer:
The bearing of A from B is 122°
Sarah and her 3 friends split a bag of candy evenly. They each ate 13 pieces of candy and there were 2 pieces leftover. How many pieces of candy were originally in the bag
Answers
4 people in all, each ate 13. 4*13=52. 2 were leftover, so 52+2=54
Yk help me bru In the straight edge and compass construction of the angle bisector below which of the following reasons can be used to prove that angle DGB = angle EGB
Answers
Answer:
The correct Option is B
Step-by-step explanation:
Two Angles that are equal to the same angle must themselves be equal (Transitive property of equality)
BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG. Therefore, the correct option is option A.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.
Angle can also refer to the size of such an angle or maybe a rotational angle. The length of such a circular arc divided by its radius is the traditional definition of this metric, which may also be signed. BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG.
Therefore, the correct option is option A.
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En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answers
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.
Answers
Answer:
P = 40.56 ft.
Step-by-step explanation:
Answer:
40.56
Step-by-step explanation:
Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.
Answers
Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
factorise fully the following expression (x2-3x-10)
Answers
Answer:
(x - 5)(x + 2)
Step-by-step explanation:
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
Answers
Answer:
1. 160 min
2. 84 min
3. 5:12 p.m.
4. 6:40 p.m.
5 a 4:44 p.m.
b 7:14 p.m.
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
Answers
Answer:
h = 19.6 ft
Step-by-step explanation:
Given that,
A 20 ft ladder 4ft from the base of the wall.
The height of the ladder, H = 20 ft
The base distance, b = 4 ft
We need to find the height of the reach. Let it is P.
Using Pythagoras theorem,
[tex]H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft[/tex]
or
P = 19.6 ft
So, the height is 19.6 ft.
HELP! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Ty ty ty ty tysmmmmm! I hope you have a amazing day!.
Answers
Answer:
(1)1 hour 15 minutes
(2)4:07
(3) 30 minutes
(4) 8:35
Step-by-step explanation:
1.We are given that
Trey and Na'Asia played basketball from 10:30-11:45
We have to find the time they play basketball.
11:45-10:30
11-10=1 hour
45-30=15 minutes
They played basketball for duration=1 hour 15 minutes
(2)
School left at 3:15
I got home 52 minutes later.
Then, I got home at =3:15+52 minutes
15 minutes+52 minutes=67 minutes
67 minutes=1 hour 7 minutes
Therefore, I got home at 4:07.
(3)
He begins making Macaroni and chees at 6:35
He finished at 7:05.
He cook his food for time =25+5=30 minutes
(4)
Mahkiya and Madison went to Cheerleading at 7:15
It was over 1 hour and 20 minutes later .
Therefore, time=7:15+1 hour 20 minutes
=(7+1) : (15+20) minutes
=8:35
Hence, it was over at 8:35.
What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters.
Answers
Answer:
7.874 inches
Step-by-step explanation:
20/2.54=7.874
Answer:
7.87
Step-by-step explanation:
1/x = 2.54/20
2.54x = 20
x = 20/2.54
x = 7.87401574803
x = 7.87
Find the first six terms of the sequence.
a1 = -5, an = an-1 + 8
Answers
Answer:
- 5, 3, 11, 19, 27, 35
Step-by-step explanation:
Using the recursive rule and a₁ = - 5
a₂ = a₁ + 8 = - 5 + 8 = 3
a₃ = a₂ + 8 = 3 + 8 = 11
a₄ = a₃ + 8 = 11 + 8 = 19
a₅ = a₄ + 8 = 19 + 8 = 27
a₆ = a₅ + 8 = 27 + 8 = 35
The first six terms are - 5, 3, 11, 19, 27, 35
hi i need help with this 2 questions ASAP its due in 5 minutes and I'm begin from the 24 questions HELLLLLPPPPP
Answers
Answer:
6-1 7-3
Step-by-step explanation:
by first considering the angles on line abc show that ac is parallel to df
Answers
Answer:
so you have to use interior and exterior angles to solve
pls help I was sick from school and have some much more work to do have a good day yall
Answers
Answer:
3 hours :)
Step-by-step explanation:
5 km x 3 = 15km
also i hope you can catch up on ur work :)
If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
Answers
I think this might be the answer you’re looking for so best of wishes and good luck!!
Using √6241=79, Find the value of √62.41
Answers
Answer:
[tex] \blue{7.9} [/tex]
Step-by-step explanation:
[tex] \sqrt{6241} = 79 [/tex]
[tex] \sqrt{62.41} = [/tex]
[tex] = \sqrt{\dfrac{6241}{100} [/tex]
[tex] = \dfrac{79}{10}[/tex]
[tex] = \blue{7.9} [/tex]
Which expression is equivalent to (-7) (-7) (-7)
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Evaluate 2(x+ 1 - 3 when x = 6 O Ο Α. 11 OB. 5 O C. 8 ( D. 10
whoever answers this first will get 25 points
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]2 \: ( \: x + 1 \: ) - 3[/tex]
Plugging in the value "[tex]x\:=\:6[/tex]" in the above expression, we have
[tex] = 2 \: ( \: 6 + 1 \: ) - 3[/tex]
[tex] = 2 \: ( \: 7 \: ) - 3[/tex]
[tex] = 14 - 3[/tex]
[tex] = 11[/tex]
Note:-[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answers
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO