Sarah wrote that (3^5)^7 = 3^12. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5,7,12 that would make her answer correct.

Answer:

(x-3/4)(x+4)

any quadratic can be written as (x-root)(x-root) if you need standard form then multiply

Answer:

y = 3.95(x) + 10

Step-by-step explanation:

The equation of the money spend will expressed as

Total number spend = 3.95 multiply number of DVD rented (x) + 10 membership

Thus equation is y = 3.95(x) + 10

Final answer:

A linear equation modeling the total cost of DVD rentals for a year, given a yearly membership fee and cost per DVD, is y = 3.95x + 10. This equation represents the cost structure, where 'y' is the total cost, 'x' is the number of DVDs rented, 3.95 is the cost per DVD and 10 is the annual membership fee.

Explanation:

This problem is an example of a linear equation, which describes a straight line on a graph. In this case, the line represents the total cost of renting DVDs for a year. The y-intercept represents the fixed part of your cost - the annual membership fee, and the slope represents the variable part of the cost - the price per DVD rental.

The equation that models this situation is y = 3.95x + 10. Here, 'y' represents the total cost, 'x' represents the number of DVDs you rent, 3.95 is the slope (or cost per DVD), and 10 is the y-intercept (or the cost of membership).

In this scenario, for each additional DVD you rent (increase in x), your total cost (y) increases by $3.95 which is the slope of the line. The line crosses the y-axis at $10, which is the fixed membership cost.

Learn more about Linear Equation here:

brainly.com/question/32634451

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