Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
A geometric sequence has a constant ratio 'r' and is defined by
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
Thus, the given sequence is a geometric sequence.
As the first element of the sequence is
Therefore, the nth term is calculated as
Put n = 5 to find the next term
now, Put n = 6 to find the 6th term
Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
<span>To do this you need to multiple 1,024 by 1,000,000 to get 1,024,000,000 and then convert it to scientific notation. For that you need to know how many places there are after the first number. In this case it is 9. This will be 1.024 x 10^9. You have to remember that it is to the power of however many numbers are after the first. So even though we show 3 digits after the . we still have to include those in the power.</span>
Answer:
178 miles
Step-by-step explanation:
Let Eric has driven d miles.
As the rate of charge of driving the truck = 76 cents /mile
So, the charge of driving the truck for d miles = 76d cents= $0.76d
The base fee of the truck was $16.95.
Total money paid at the time of returning the truck = $152.23
So, 16.95+0.76d=152.23
0.76d= 152.23-16.95=135.28
d=135.28/0.76
d=178
Hence, he drives 178 miles.