Basic Math question and answers for November 03, 2024
- Q The function P(t) = 37.25e0.0096t. approximates the population, in millions, of California t years since 2010. Assuming this trend continues, approximate the number of years it will take California's population...
- Q If the point (5,-2) is on the graph of a function that is shifted to the right by 3, what point is on the new graph?(5, 1)(8.1)(8,-2)(2,-2)
- Q Which of the following represents the rectangular equation x + y + 5x - 3y = 0 in polar form?r= -5sin ? + 3cos ?r= -3sin ?+ 5cos ?r=3sin ?-...
- Q Solve each equationa) Solve x2/3 - 5x/3 +6=0b) Solve p4-3p2-4 = 0c) Solve x - 4x-1-5 = 0
- Q Check that the functions f(x) = e2x and g(x)=In(x)/2 are inverses using algebra.
- Q Find the inverse function of y = g(x) = 5x + 1g-(y) =
- Q A polar curve is represented by the equation r? = 2 + 3cos?.Part A: What type of limaon is this curve? Justify your answer using the constants in the equation.Part...
- Q Suppose f(q) = C = 200+ 0.1q gives the cost, C, in dollars to manufacture q kg of a chemical.Find and interpret f-(C).
- Q Decompose the function y = 2x+1 into u(v(x)). If we assume u(x) = 2x, what is v(x)?
- Q a) Find and classify the critical point(s).b) Find the interval(s) where f(x) is increasing.c) Find the interval(s) where f(x) is decreasing.1. f(x)=x-x-12. f(x)=2x^4 - 4x +13. f(x)=xe^1/x
- Q Let f(x) = x - 4x - 21 and g(x) = x ? 9x + 14. Find f.g and f/g respective domains. Simplify your answers.1. f. g =2. What is...
- Q Write a rule for g described by the transformations the vertex. of the graph off. Then identify 2 f(x) = x; vertical stretch by a factor of 4 and a...
- Q f(x) = (2x - 1)(3x + 5) (x + 1) has zeros at x = -5/3, x=-1 and x=1/2What is the sign of f on the interval -5/3<x<1/2?Choose 1 answer:f...
- Q Graph y = 5(2)^(x-1)-8by clicking the icon below and then there are two main steps:1st, click where the horizontal asympotote will be.2nd, click two points on the graph to create...
- Q What are the domain and the range of function f?f(x) = x-6/x-3x-18
- Q The domain of function r is (-?, -7) U (-7, 5) U (5, ?), and the value of the function approaches 1 as x approaches -? and ?. Which function...
- Q Use the graph to determine the following.a. the function's domainb. the function's rangec. the x-intercepts, if anyd. the y-intercept, if anye. the function value indicated below.
- Q Evaluate the function h(x)=x^4-2x-5 at the given values of the independent variable and simplify.a. h(3) b.h(-1)c. h(-x) d. h(3a)
- Q The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.C(x) = 70,000+32x and R(x) = 39xa. Use the formulas shown to write...
- Q If f(x) = log3(x), what is the transformation that occurs if g(x) = -log3(x)? (Enters for stretch, c for compress, mx for mirrorred across the x-axis, my for mirrored across...
- Q Select all the correct answers.A biologist models the size of a population of songbirds over time, t, in years, with this function.f(t) 312(0.97)^tWhich statements about the population are supported by...
- Q If y= alx-h| + k has the value of a = 1, the graph will be (assume h and k are greater than zero).closer to the y-axistranslating the parent function...
- Q Sketch the graph of the function and check the graph with a graphing calculator. Before doing so, describe how the graph of the function can be obtained from the graph...
- Q Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each...
- Q Given the log function f(x) = 4 logx, state the coordinates of the image point if the original point was (10, 1). (ie. If (10, 1) is a point on...
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