Answer:
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the common difference between the numbers.
If we are looking for the 91st term, our n = 91;
our a1 is 28, and
the common difference is -20. Putting all that together gives us the explicit formula for this sequence:
and
and
so
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4 b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots
1)
4m^4 - 5m^2
answer is D. last choice
2)
= 7x - 35 + 3x - 9
------------------------
(x - 3)(x-5)
= 10x - 44
--------------------
(x - 3)(x-5)
answer is B.
Answer:
4
Step-by-step explanation:
2 cubes on each 6 × 8 face will have one surface painted. The sides of dimension 4 cm do not have enough width to have any cubes with only one face painted.
Hence, there are a total of 4 cubes with one face painted.
