Answer:
Tn = 4(-6)^n-1
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....
The sequence is a geometric sequence
Tn = ar^n-1
a is the first term
a = 4
r = -24/4 =144/-24
r = -6
Substitute
Tn = 4(-6)^n-1
Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 9 = 7x + 9 ( subtract 7x from both sides )
2x - 9 = 9 ( add 9 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72
MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72
Answer:
-5
Step-by-step explanation:
At first,
f(-1) = 3 x (-1)² + 5 x (-1) -7
= 3 - 5 - 7
= -9
g(f(-1)) = g(-9)
= 2 x (-9) + 13
= -18 + 13
= -5
