Algebra - Week 6.2 - Logarithmics, Graphs, Word Problems

See the attached file.
1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph of each function; please show graphs ...
2. Solve the problem. A rare baseball card was sold in 1990 for $285,000. The card was then resold in 1998 for $459,000. Assume that the card's value increases exponentially, and find an exponential function V(t) that fits the data ...(Round decimals to three places.)
3. Solve the problem ...
4. Solve for x. Round to the nearest ten-thousandth ...
5. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this ...
6. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this ...
7. Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth ...
8. Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; show or draw the graph. State the domain and the range of the function ...

1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph of each function; please show graphs.

In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 2100 miles in that week, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?

1 The sum of two numbers os 41. One number 3 times as large as the other. What are the numbers?
2 In a family there are two cars. In a given week, the car gets an average of 20 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1025 miles in that week, for a total gas a tota

The owner of a hobby store bought a case of 9-volt batteries for $26.00. He marked the price up such that his profit was $1.74 per battery. After selling 13 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?

1.) 2(a-4)+4=5(9-a)
2.) t-5x=4x
3.) Fill in the table using the given formula (solve for Y)
y=-5x+10
__X__Y_
-1
0
1
2
3
4.) Even Integers. Find two consecuitive integers that have a sum of 450.
5.) Determine whether the given number is a solution to the inequality following it.
0,4x+9 i

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Homework Set 8: Problem 10 Section 4.1, Problem 10 Section 4.2
Section 4.2: Problem 10 pg. 180
For f(x) = x3 -18x2 -10x +6, find the inflection point algebraically. Graph the function with a calculator or computer and confirm your answer.
(For the exponents, it is x cubed and -18x squared).

Algebra equations, wordproblems, and graphs (see attachment)
1. solve the following system of equations:
x + 3y = 2
x = 6 - 3y
2. Determine the slope of the line shown in the right
3. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveli

30. Assume that Joe take 6 hours working alone and Sam takes 8 hours working alone, how long does it take the, to do it together?
54. (1 +3i) (2-5i)
64. i(3-4i) (6+4i)
84. 14 + 5i divided by 3 +2i
94. 5 divided by 9i