1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
5

Jerry goes to a theme park to ride the roller coasters. The theme park charges an entry fee in addition to a fee for each roller

coaster ride. The table below represents the total price for two different numbers of roller coaster rides.

Mathematics
1 answer:
ratelena [41]3 years ago
7 0
You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15 

The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test. 
You might be interested in
Three consecutive even numbers have a sum where one half of the sum is between 84 and 96
mamaluj [8]

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84


56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93


62 +64+66 = 192

192/2 = 96


 there are 3 sets of numbers that fall between 84 & 96

 1 set equals 84 and 1 set equals 96

 so if you are counting those there are 5 sets

 

6 0
3 years ago
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
Savatey [412]

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0
3 years ago
Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
Simplify each expression by distributing and combining like terms.
solniwko [45]

Hello!

Answer:

1) 7k+35

2) 9n−36

3) 4x+22

Step-by-step explanation:

1) 7(k+5)

1) 7k+7×5

1) 7k+35

2) 9(n-4)

2) 9n+9×−4

2) 9n−36

3) 4(x+5)+2

3) 4x+20+2

3) 4x+(20+2)

3) 4x+22

Hope this helps!

5 0
2 years ago
Simplify the rational expression. State any restrictions on the variable.
natulia [17]

Answer:

t+4, t≠8

Step-by-step explanation:

\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4

The value of t must not be one that makes the denominator zero, hence must not be 8.

8 0
3 years ago
Other questions:
  • Translate into an algebraic expression:
    7·1 answer
  • 1. what is the range of the following set of data? 9 3 1 8 3 6
    13·1 answer
  • Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
    7·1 answer
  • $350 increased by 42%
    13·2 answers
  • To convert kilograrns to grams, you can use the ratio<br><br> 1000grams/1kilogram
    15·1 answer
  • Solve for y.<br><br>212-y=282
    11·2 answers
  • Could somebody help me this ixl math is driving me crazy smh
    10·1 answer
  • What is the exponent for the expression 6 × 6 × 6 × 6 × 6?
    9·2 answers
  • PLEASE HELP URGENT!!!!
    9·1 answer
  • Combine like terms:<br>12x + 3y + 4 - 6y - 9​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!