a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
_____
<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
The y-intercept exists where x is 0. In our table, the y value is -4 when x is 0. So that's the place where the graph will go through the y axis. (0, -4) with -4 being the y-intercept.
Answer:
c
Step-by-step explanation:
4x = 20
--------------
4
x = 5
*20 divided by 4 equals 5*
L^2 = 55^2 - 27^2
L^2 = 3025 - 729
L^2 = 2296
L = sqrt(2296) = 47.92 inches
perimeter = 27*2 + 47.92*2 = 54 + 95.84 = 149.84 inches