We let
a1 = first term
a2 = second term
a3 = third term
and so on
We are given with
a1 + a2 = 26
S5 (sum of five terms) = 35
The formula for the sum of terms is
Sn = (a1 + an) (n/2)
SO
35 = (a1 + a5) (5/2)
The formula for an arithmetic term is
an = a1 + d(n-1)
For
a2 = a1 + d
we know that
a1 + a2 = 26
Simply for a1, a2, and d. Then use the formula to get the other items asked.
The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4
The formula for calculating the axis of symmetry is expressed as:
Axis of symmetry x = -b/2a
h(x) = 5x^2 + 40x + 64
a = 5 and b = 40
1/2 and that will be your answer
The sum of the interior angles of any triangle is 180 degrees. It does not depend on which triangle we are discussing that this fact is true for all triangles. 180 degrees is a straight line.
88+x≥92
Subtract 88 from each side to get:x≥4
So now you add 4 to the 92 to get 96, Mindy's minimum score on her second test to get at least a 92 average.
