Answer:
confused what graph are using
Step-by-step explanation:
Loretta:
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles
Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles
The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours
Answer: Loretta's dad drove for 6 hours.
Answer:
The function f(x) translated left by 5 units and then it is reflected across the x-axis.
Step-by-step explanation:
The original equation of the graph of the function is f(x) = x ........ (1)
If we replace f(x) by [- f(x) + 5] then the equation becomes - f(x) + 5 = x
⇒ f(x) = - (x - 5) ..... (2)
So, comparing equations (1) and (2), we can conclude that the graph of the function f(x) translated left by 5 units and then it is reflected across the x-axis. (Answer)
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:
Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:
Substitute and simplify:
We can rewrite the second equation as:
Substitute:
Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:
In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.
Answer:
4137.5 per year
Step-by-step explanation:
what you would do is take the number for private college and divide it by 8 years since you only want one year and divide that by four since it says four years and that would be your answer
