For the following exercises, use a graphing calculator to find approximate solutions to each equation.
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- For the following exercises, solve the equation for x , if there is a solution. Than graph both sides of the equation, and observe the point of intersection (if it exists) to verify the solution. ln(2x+9)=ln(5x)arrow_forwardFor the following exercises, use a graphing calculator to find approximate solutions to each equation. 2ln(5x+1)=12ln(5x)+1arrow_forwardThe rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forward
- For the following exercises, write the equation for the standard function represented by each of the graphs below.arrow_forwardFor the following exercises, solve each equation for x . 49. ln(3)ln(33x)=ln(4)arrow_forwardSuppose you are going hiking and over the course of your trip, your velocity at time t hours is given by the function v(t) = square root of (4 − (t − 2)2) kilometers per hour. The trip takes you 4 hours. How many kilometers is the hike?arrow_forward
- The value of the fuction f(×) is 600 when x= 0 and decreases by 9% for every one - unit increase in x .complete the equation that represents the fuction f(×).arrow_forwardf(x)=−3x and g(x)= square root of x+1 Find the formula for (f/g)(x) and simplify your answer. Then find the domain for (f/g)(x). Round your answer to two decimal places, if necessary.arrow_forwardThe intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-2,47)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, lo? (b) At 6 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 1% of the intensity of the light at the surface?arrow_forward
- The number of people in a school that have caught a cold can be modeled by C(d) = 3(4d) where C(d) is the number of people who have caught a cold after d days. (a) Use the model to estimate the number of people who have caught this cold after 5 days. (Include units in your answer. More information.) After 5 days have passed, X Units are required for this answer. have caught the cold. (b) Use the model to estimate how long it takes for 192 people to catch this cold. (Include units in your answer. More information.) It takes for 192 people to catch the cold.arrow_forwardHenrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment. I have the formula: f(x) = 800(1 + 0.032)^xf(x) = 800(1 + 0.032)^35But I'm having a hard time figuring out how to graph itarrow_forwardA population of rabbits oscillates 35 above and below average during the year, hitting the lowest value in January (t = 0). The average population starts at 800 rabbits and increases by 9% each month. Find an equation for the population, P, in terms of the months since January, t.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning