For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth.
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- For the following exercises, use a graphing calculator to approximate the solutions of the equation. Round to the nearest thousandth. f(x)=abx+d. 12=2(3)x+1arrow_forwardFor each of the following exercises, solve for y in terms of x, putting the equation in slope-intercept form. 4. 2x5y=7arrow_forwardFor each of the following exercises, solve for y in terms of x, putting the equation in slope-intercept form. 3. 5x=3y12arrow_forward
- Using Figure 7, solve f(x)=1 .arrow_forwardFor the following exercises, solve for the indicated value, and graph the situation showing the solution point. The population of a small town is modeled by the equation P=1650e0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000 ?arrow_forwardFor the following exercises, find the equation of the line with the given information. 27. Solve: 2+122x=xarrow_forward
- For the following exercises, use the values listed in Table 1. 29. Solve the equation F(x)=5 .arrow_forwardFor each of the following exercises, construct a table and graph the equation by plotting at least three points. 35.y=13x+2arrow_forwardA rock was slung from a sling shot off the top of a building. The height of the rock, relative to the amount of time since leaving the sling shot, can be modeled by a function r (t) where r (t) represents the height of the rock in the feet above ground, and t is the number of seconds since the rock left the sling shot. The following equivalent equations represent r (t) in three different forms. r (t) =- 16(t 1.75) + 289 r(t) D-16 (t- 6) (t + 2.5) r (t) =-16t + 56t + 240 Check all of the statements that are true. O the rock hit the ground6 seconds after leaving the sling shot. O the rock hit the ground 2.5 seconds after leaving the sling shot. O The shape of the graph is concave up. O The rock's initial height was 289 feet. O The rock reached its highest point 1.75 seconds after leaving the sling.arrow_forward
- The temperature T(t), in degrees Fahrenheit, during the day can be modeled by the equation T(t) = −0.7t2 + 9.3t + 58.8, where t is the number of hours after 6 a.m. (a) How many hours after 6 a.m. is the temperature a maximum? Round to the nearest tenth of an hour.? hr (b)What is the maximum temperature (in degrees Fahrenheit)? Round to the nearest degree.°F Note: no handwrittenarrow_forwardA cup of coffee is made with boiling water at a temperature of 100◦C in a room with ambient temperature 25◦C. After 4 minutes the coffee has cooled to 90◦C. a. What is the equation T(t) for the temperature of the coffee? b. What is the temperature of the coffee after 10 minutes?arrow_forwardA golfer's tee shot follows a path given by y = 96t − 16t2, where y is the height of the ball (in feet) after t seconds of flight. How long will it take for the ball to strike the ground?arrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning