We know, S = n/2 [ a + l ]
Here, a = 45
l = 108
Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64
Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896
In short, Your Answer would be 4896
Hope this helps!
Hello from MrBillDoesMath!
Answer:
x + 9 and (x + ( i - 7)) are factors
Discussion:
If f(x) has roots -9 and 7-i then
f(x) = g(x)(x - (-9)) (x - (7-i)) ( g(x) is a polynomial of degree less than f(x))
That is, x + 9 and (x + ( i - 7)) are factors of f(x)
BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is also be a root.
Thank you,
MrB
Answer:
r < 35 or r ≥ 43
Step-by-step explanation:
We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.
Since the time it takes to drive the route is r, then;
r < 35
Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;
r ≥ 43
Thus;
r < 35 or r ≥ 43
