Show that the equation x + 2y- 3x +5 =0 represents a parabola. Find the focus, vertex, axis and directrix of the parabola.

Q: 1. Solve the following problem by using Excel for graph sketching. A soda vendor at Louisiana State…

A: The objective of the question is to interpret the estimated slope and intercept of the given linear…

Q: Population (in millions) 500- 400- € 300- 200- 100- 0 (1.260) (3,300) (1,100) (2,200) Time (in…

A: A population's growth rate is the rate at which its size varies over a predetermined amount of time.…

Q: If Y=10X+ square of X then the slope of Y

A: Slope of tangent y is calculated by differentiating function Y with respect to X.

Q: 5. Suppose a quadratic function is given by y = f(x) = x29x + 8. (a) Does this function represent an…

A: The functions which are expressed in the form  are called quadratic functions, where x is variable…

Q: 1. Solve the following problem by using Excel for graph sketching. A soda vendor at Louisiana State…

A: The objective of the question is to interpret the estimated slope and intercept of the given linear…

Q: The variable shown on the vertical axis is __________ (options: thousands of dollars per car,…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: B) both B and C both A and C Figure A D) both A and B E) only D X Figure B Figure C 26) In the…

A: When an increase in the independent variables leads to an increase in the dependent variable, or…

Q: In a straight line, the value of the slope differs in different points in the line. True False

A: The slope shows the steepness and direction of the line. It measures where the line is tilted, flat…

Q: Which of the following is an example of a continuous variable?     The gender of each student in a…

A: Continous variable is defined in random variables when the random variable can take any value in…

Q: Y-as For each of the following scenarios, indicate whether the relationship between the two…

A: Slope tells us how the changes in one variable, represented on x-axis, impacts the values of another…

Q: Refer to the table below: Year 1950 1960 1970 1980 1990 2000 2010 2020 Participation Rates (Age 16…

A: The formula for calculating percentage change in an economic variable X between two periods:…

Q: Write an equation in slope-intercept form for the line described. x-intercept - 3, y-intercept 8

A: An algebraic basic equation that depicts a linear relationship of two variables, usually on a…

Q: For each of the following scenarios, indicate whether the relationship between the two variables is…

A: The relationship between two variables can be positive or negative.

Q: You can think of the result in any one game as being Eric's marginal free-throw percentage. Based on…

A: Both Average Cost and Marginal Cost are derived from Total Cost Average Cost = Total Cost / Quantity…

Q: 100 80 60 Exam score (points) 40 20 0 2 4 6 8 Study time (hours) 10 QUESTION 1: (i) (ii) (iii)…

A: Study Time (X) Exam score (y)  2 30 4 50

Q: Provide 4 applications of the gravity model and illustrate them with examples.

A: The gravity model of trade is a fundamental framework used in economics to analyze and predict…

Q: An economic researcher has been asked to determine the relationship between a proposed local sales…

A: The Laffer Curve, given by economist Arthur Laffer, explains the relationship between tax rates and…

Q: Draw the graph of U = q1 + aq2 and U= q1^2 + q2^2. Interpret the parameter a

A: There are two graphs provided in the question .Graph 1 : U = q1 + aq2 Graph 2 : U = q12 +  q22

Q: here is a negative relationship between two variables if: they move in opposite directions. they…

A: Different variables have different sorts of relations between them. This relationship can be…

Q: For the straight line defined by the points (1,53) and (3,91) , determine the slope ( ? ) and…

A: Answer - Need to find- Slope and y-intercept  Given in the question - Points (1,53) and (3,91) Here…

Q: Figure 1.1 negative The line segment CB indicates a relationship between the X and Y variables.

A: In economics, the concept of variables can be described as measurable quantities or characteristics…

Q: Based on the graph you drew, Teresa would likely earn a salary of around per year.

A: The table has been provided in the question shows the years of education and corresponding salary.…

Q: Consider the function Y=5X0520s, where X and Z are both greater than or equal to zera. Complete the…

A: X Z Y 4 16 320 6 6 180 16 4 320 16 1 80 18 1 90 4 4 20 1 16 80 8 8 320 2 18 180…

Q: Suppose the relationship between the government's tax revenue (T) and national income (Y) is…

A: Given  T=30+0.5Y so here slope is 0.5 we can draw the graph of the equation which are as follow-

Q: A sailing regatta hosted by Royal Yacht Club initially had 40 participants sign up which generated…

A: Given  When 40 participants sign up then the money earned is $350 and when the number of…

Q: X-Variable: Netflix Subscriptions 10 40 60 70 Y-Variable: Red Box Rentals 50 30 20 20 Point A B C D…

A: The slope expresses how quickly the dependent variable changes when the independent variable…

Q: Write the equations of the vertical and horizontal lines through the point (- 1.3, - 3.7). The…

A: For the Horizontal or Vertical Line, the slope of the equation (generally represented by m) is zero.…

Q: ALTITUDE (Thousands of f 20 15 10 5 0 ← 0 1 2 3 4 5 6 TIME (Minutes) The slope of the blue curve…

A: The mathematical tool known as slope is utilised in numerous research to determine how quickly a…

Q: Find x for the following equation. In (x+4) + In 2 = 2 In x x-DX

A: ln(x+4)+ ln 2 = 2 ln x ln(2 (x + 4)) = 2ln(x) ln(x + 4) - 2 ln(x) = -ln(2)   Apply log rules: x+4·…

Q: Variable Y 24 20 16 12 8 4 O a. y = 8 - 2x. O b. x = 8 + 0.5y. y = 8 + 2x. y = 8 + 0.5x. O c. (3) +…

A: An equation is a mathematical statement that shows the equality of two expressions or quantities.…