The decimal equivalent is -4.666....
In order to find this, we need to start by just taking the whole number for itself.
-4.
Now we have to handle the fraction version. In order to do that, we need to do the division and turn into a decimal.
2/3 = .666...
Now we simply put them together and get our answer.
-4.666...
3 weeks
Step-by-step explanation:
To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.
So we can write the expression as,
Let w be the number of weeks.
25 + 5w =16 + 8w
Grouping the terms as,
25 - 16 = 8w - 5w
9 = 3w
Dividing both sides by 3, we will get,
3w/3 = 9/3
w = 3
So number of weeks = 3
Answer:
D. Rewrite one side (or both) using the distributive property, Yes
Step-by-step explanation:
How can we get Equation BBB from Equation AAA? Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Answer:
25.5 days
Step-by-step explanation:
Mean number of days (μ) = 22 days
Standard deviation (σ) = 6 days
Z-score for the 72nd percentile (according to tabulated values) = 0.583
The z-score for any number of days, X, is determined by:

The value of X that is greater than 72% of the trial times is:

Therefore, 72% of all of these types of trials are completed within 25.5 days.
Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then

,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since

, f(6) = 5
Answer: 5