In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?

Answers

Answer 1

Answer:

they share some features like;exponents,

mathematical signs, variables and more

Answer 2

The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).

What the functions have in common?

A linear function is:

y = a*x + b

A quadratic function is:

y = a*x^2 + b*x + c

An exponential function is:

y = A*(b)^x

So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.

How these functions are different?

Well, the exponents are clearly different.

The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).

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Related Questions

Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Multiply and find the value of x

Answers

Answer:

X=15

Step-by-step explanation:

HELP!!!!!!!!


5. chords AB and CD intersect, forming segments with the measurements shown. What is the value of x?​

Answers

Answer:

I don't know if this is correct but I'm pretty sure its C:

explanation: CD is in total 10 in length, The first part of AB is 3 before the lines intersect, AB is larger than CD because of its position, Again i wouldn't totally trust this answer but I think I'm correct

In AWXY, w = 6.7 inches, x = 7.4 inches and ZY=71°. Find the area of AWXY, to the
nearest 10th of a square inch.

Answers

Answer:

23.4

Step-by-step explanation:

The area of the triangle is 23.55 in².

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔWXY

w = 6.7 inches

x = 7.4 inches

∠Y = 71°

Now,

The area of the triangle.

= 1/2 (wx) siny

= 1/2 x (6.7 x 7.4) x sin 71
= 1/2 x 49.58 x 0.95

= 23.55

Thus,

The area of the triangle is 23.55 in².

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Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés

Answers

Answer:

the rate of interest is 11.7453%

Step-by-step explanation:

Given that

The present value is € 45,000

The Future value is €52,500

Time period 1 year, 4 months and 20 days i.e. 1.38809 years

We need to find out the interest rate

Here we apply the RATE formula in the spreadsheet

The formula is

= RATE(NPER;PMT;-PV;FV;TYPE)

The PMT would be zero

After applying the above formula, the rate of interest is 11.7453%

(WILL GIVE BRAINLIEST)
Vanessa has a vase shaped like the triangular prism shown.
She wants to paint the vase's sides, but not the top and
bottom. What is the closest to how many square
centimeters of paint will she need?
ANSWER CHOICES:
27.2 cm^2
31.2 cm^2
17.6 cm^2
44.8 cm^2


Answers

Answer:

C.

Step-by-step explanation:

4 x 2.8 x 2 x 2 = 44.8

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Answers

Answer:

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Exponential growth function

= y = a(1 + r)^t

Solving for y

y = 200(1 + 0.092)⁷

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

Can someone tell me this please

Answers

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Hi! This is the question:

Answers

Answer:

D

Step-by-step explanation:

afhiutffhjoiyrdcvkoitredcbkoydcvkirdvjut

Answer:

y = 2x

Step-by-step explanation:

Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)

(Please help me ASAP I will give u 30 points and brainliest.

Answers

Answer:

(4,8)

Step-by-step explanation:

1=8-8 no

5=12-8 no

8=16-8 YES

10=20-8 no

Answer:

I have that same problem!

Step-by-step explanation:

.b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

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The first 4 terms of a sequence are 5,-3,-11,-19 which of the following is an equation for the nth term of the sequence?

Answers

Answer:

Step-by-step explanation:

Option D is the correct answer

The next term is - 27

Circle T is given below. ZUTV and ZXTW are congruent.

What is the measure of chord WX?
cm

Answers

Answer:

Step-by-step explanation:

First note that the triangles shown are isosceles triangles due to equality of two of their sides which is radius. So their baseline angles are equal

Since their middle angle are equal too, so their 3 angles are the same. It menas both triangles are similar.

However, we know two of three sides are equal, but the third should be also because of their similarity.

y+4 = 2y - 3

2y - y = 4 - 3

y = 4+3

y = 7

Therefore,

2y-3 = 2.7-3 = 14-3 = 11

Answer is 11 centimeters

I’m sorry if I’m asking for too much but this whole page is very confusing And I don’t remember learning this in fifth grade help my brother pass lmk if anything is unclear in the photo

Answers

Answer:

1.)  71 > 38    ║d.) >

2.)  21 < 62   ║g.) <

3.)  58 = 58  ║f.) =

4.)  14 ≤ 6     ║a.) False

5.)  13 ≤ 26   ║h.) True

6.)  25 < y    ║c.) 16

7.)  N = 6      ║e.) 6

8.)  P ≥ 16     ║b.) 50

Newa
1 pts
Question 8
Which of the following is NOT true about the law-making process in Congress?
O Congress can overrule the president's veto with a 3/4 vote
The House of Representatives and Senate pass the bill along with a majority vote.
A committee discusses debates and votes on a bill
The President can sign the bill into law or veto the bill
Question 9
1 pts

Answers

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

Find the hypotenuse of the triangle, the
distance between points (4, 4) and (-2,-2).
[?]
(4.4)
Enter the number that
6 goes beneath the radical
symbol
(-2,-2)
6

Answers

6 radical 2 is the answer

PLEASE HELP ! giving a lot of points!

Answers

Answer:

458 g144 g

Step-by-step explanation:

As per equation, the initial amount is:

A(0) = 458*(1/2)^(0/30) = 458*1 = 458 g

Sample amount left after 50 years:

A(50) = 458*(1/2)^(50/30) = 144 g (rounded)

Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3

Answers

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Which graph best represents the
solution to the following pair of
equations?
y = -X - 5
y = 2x + 4

Answers

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST

Answers

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

While rowing in a race, John does 3960 J of work on the oars in 60 s. What is the power output in Watts?

Answers

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

31% of what number is 25?​

Answers

Uhh, I think it is 80.65

Hope this helped ( ̄︶ ̄)↗ 

You must convert 31% to a decimal so divide it by 100 to get .31. Then multiply .31 by 25 to get 7.75.
Answer: 7.75

There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,896 ways b. 1,028,160 ways d. 13,366,080 ways

Answers

Answer:

the answer is: A

18 * 17 * 16 * 15 = 73,440

Find the value of x- helppp

Answers

Answer:

60º

Step-by-step explanation:

A triangle is 180º so you do (180-60)/2 and you get that x=60.

Hope that helps :)

Answer:

Hey love! x = 60

Step-by-step explanation:

Because a triangle adds up to 180 so

180 - 60 = 120 and sense both angles will be the same measure I divide 120 by 2 and get 60 so

x =60 Hope that helps!

what is the value of [(-3)^3]^2+2^4?

Answers

745!

Hope this helped :)

3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b

Answers

Answer:

The answer would be letter J

The inequality for total expenditure & number of breakfasts is 5 > 1.25b

Formulation of inequality equation for expenditure & breakfasts

Assumed : Number of breakfasts = b

Number of breakfast meals x Price per breakfast meal = Total Expenditure

Total expenditure should be less or than equal to $1.25

So, 1.25b < 5

It implies that inequality : 5 > 1.25b

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Can someone please help me

Answers

Answer:

11^2*pi= 121pi

Step-by-step explanation:

3.14x11^2

3.14x121=121pi

La temperatura mínima en una ciudad el día lunes fue de –2 ºC y la máxima fue de 7 ºC. ¿Cuál fue la variación de temperatura en el día?

Answers

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

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help please I would appreciate it thank u 70% of the magic tricks that Jade knows are card tricks. If she knows 14 card tricks, how many magic tricks does Jade know in all? Oak Corp., a calendar-year corporation, was formed three years ago by its sole shareholder, Glover, and has always operated as a C corporation. However, at the beginning of this year, Glover made a qualifying S election for Oak Corp., effective January 1. Oak Corp. did not have any C corporation earnings and profits on that date. On June 1, Oak Corp. distributed $15,000 to Glover. What are the amount and character of gain Glover must recognize on the distribution, and what is his basis in his Oak Corp. stock in each of the following alternative scenarios?a. At the time of the distribution, Glovers basis in his Oak Corp. stock was $35,000.b. At the time of the distribution, Glovers basis in his Oak Corp. stock was $8,000.c. At the time of the distribution, Glovers basis in his Oak Corp. stock was $0. Which of the following is an irrational number? if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then find lim (fg)(x)a.1b.0c.3d.does not exist ito ay karaniwang tumatalakay sa mga kwentong may kinalaman sa mga diyos dyosa bathala diwata at mga kakaibang nilalang na may kaangyarihan Which expression is equivalent to 2 x 2 class 10th routing in home study "Texans believed annexation offered an easier solution to most of the problems facing the Republic than accomplishing hard tasks involved in building a new nation. Few Texans dreamed of a future as an independent nation. Most looked forward to joining the United States, and Texans did so at their earliest opportunity." Which of the following statements best describes the role of slavery in the path to achieving the goals described in the passage?A. Texas's unwillingness to support slavery led to the South to resist.B. Taxas's willingness to compromise on the slavery issue hastened annexation.C. Taxas's potential admission as a slave state caused controversy and delayed annexation.D. Texas's agriculture resources convinced the North to compromise on slavery and approve annexation. Question 112, 10, 50, ...plz help me out! P is a prime number.Show that p+6 could be either even or odd put in a newA rectangular garage is 11 yards long and 5 yards wide. It costs $2.00 per square yardconcrete floor. How much would it cost to put a new concrete floor in the garage? Does negative 3 fourths times negative 5 sevenths equal negative 15 twenty-eighths? Sorry if it don't make sence [Image holds question]answer and step by step explanation needed please .. Read the excerpt from "The Yellow Wallpaper."At first he meant to repaper the room, but afterwards he said that I was letting it get the better of me, and that nothing was worse for a nervous patient than to give way to such fancies.Which gothic element in this excerpt reflects a social attitude of Gilmans time?a. The narrator feels an inevitable sense of doom.b. The qualities of the wallpaper create a sense of mystery.c. John appears to be a supernatural being.d. John views his wifes concerns as unimportant and silly. Ernesto is deep-sea diving with two friends. Alexandra is floating on the surface 6 metersabove Emesto, and Krysta is exploring a coral reef 7 meters in front of Ernesto. How far apartare Alexandra and Krysta? If necessary, round to the nearest tenth. 2(c power of 2-5)for c =4 Name and describe this Mayan sculpture. Explain the cultural practice that can be observed in this sculpture. When presenting evidence in a Small Claims Court, it is advisable to avoid using pictures or graphics. T OR F 3. President John Quincy Adams believed in a strong federal government