Basic Math question and answers for November 01, 2024
- Q Describing the Effect of the y-Intercept When comparing functions, such as Seth's scenarios for travelling to school, will the function with the greatest initial value continue to be the greatest...
- Q Find the domain of the function f(x) = In (x-3) + log (x - 5).(Give your answer as an interval in the form (*, *). Use the symbol co for...
- Q The number of people afflicted with the common cold in teh winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted.Find the...
- Q For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.f (x) = 2x+5 / 5x-2; g(x) = 8x/5x-2
- Q Write in simplified form and list all restrictions on the domain.f(y) = 7+ y/y+6 - 6/ y^2-36f(y)=(Simplify your answer.)
- Q a. If x is increased from 2 to 3, how much does1 + x/2 + x change by?change =b. Does the function increase or decrease when x goes from 2...
- Q Suppose that the functions and s are defined for all real numbers x as follows.r(x)=3x-5s(x) = 6xWrite the expressions for (r-s) (x) and (r+s) (x) and evaluate (r.s) (2).(r-s)(x) =(r+s)(x)...
- Q Let y = (x+sin(x))?.Find g(x) and f(x) so that y = (fog)(x), and compute the derivative using the Chain Rule.f(x) =g(x) =(fog)' =
- Q Juli is going to launch a model rocket in her back yard. When she launches the rocket, the function h(t) = -16r2 +681 model the height, h, in feet of...
- Q Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x) = 2x +...
- Q For f(x)=x+4 and g(x) = 4x+4, find the following functions.a. (fog)(x); b. (gof)(x); a. (fog)(1); d. (gof)(1)
- Q Find the minimum and maximum values of z = 7x + 3y, if possible, for the following set of constraints.x+y?8-x+y?22x-y? 10
- Q If f(x)=x-5x and g(x) = 8 - x, evaluate the following.a. (f+g)(4)b. (g-f)(3) c. (f.g)(-2)d. (g/f)(-4)a. (f+g)(4) = (Simplify your answer.)
- Q Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an...
- Q In 1993, the moose population in a park was measured to be 4750. By 1999, the population was measured again to be 4030. If the population continues to change linearly:A.)...
- Q What is the range of the function f(x)=xf(x) = R((x) > 0f(x) ? 0((x) < 0((x) = 0
- Q The population of Mathville is increasing exponentially. (a) Find a function that represents the population of Mathville, if in 2014 the population was 51,430, and the population last year was...
- Q Evaluate the function below for x = 4.F(x)= 5 {3 if x < 05 if x ? 0none of these.035
- Q Let y = 2(x-3)^2-6.Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation...
- Q A business that manufactures small alarm clocks has weekly fixed costs of $4000. The average cost per clock for the business to manufacture x clocks is described by 0.6x +...
- Q Given a polynomial that has zeros of -5, 3i, and -3i and has a value of 432 when x = 3. Write the polynomial in standard form ax^n + bx^n-1...
- Q Your teacher will give you a set of four function machines. Your team's job is to get a specific output by putting those machines in a particular order so that...
- Q Graph the following quadratic function.f(x) = x + 4xFind the vertex of the function.
- Q Consider the parabola given by the equation: f(x) = 4x + 14x -15Find the following for this parabola:A) The vertex:B) The vertical intercept is the pointC) Find the coordinates of...
- Q 7. A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat...
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