Answer:
The answer is : x = 9.505 and x = -1.005
Step-by-step explanation:
To solve the quadratic equation use the formula :
Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term
∵ a = 18 , b = -153 and c = -172
∴ 
∴ x = 9.505 and x = -1.005
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.
Yes "3x8 = 4x6" does illustrate the commutative property of multiplication.
Answer:
(c) is closest to the correct answer
Step-by-step explanation:
The question answers itself: "Mr. Jones's prescription calls for 1.04 tablets PER DAY, thus the amount of tablets Mr. Jones should talk daily are 1.04. Since none of the answers in the answer set have '1.04' in them, we have to use some basic logic:
The list of answers are, a) 1.25. We can rule that one out as it is not 1.04. We can also rule out b) and d) using the same logic. Thus, by process of elimination, we are left with c) 1 O. Not only is 1.0 (or just 1) the closest number to the actual amount (1.04) but it also makes the most sense, as one cannot take .04 (or 4/100ths) of a pill.
