Answer:
-387
Step-by-step explanation:
First term (T1) = -21 = a
second term (t2) = - 27
common difference (d) = t2 - t1 = - 27 + 21 = - 6
Now
Tn = a + ( n - 1) d
T62 = - 21 + ( 62 - 1 ) - 6
= - 21 -366
= -387
Answer:
The average rate of change in the interval (3, 3.5) is -158.75
Step-by-step explanation:
We are given the following function in the question:

We have to find average rate of change over the interval:
x = 3 to x = 3.5
Average rate of change =

Thus, the average rate of change in the interval (3, 3.5) is -158.75
Answer:
- 85 flashlights
- 17 sleeping bags
Step-by-step explanation:
One group of 5 flashlights and 1 sleeping bag will cost ...
$12×5 +45 = $105
The total cost of the order is $1785/$105 = 17 times that amount, so there were ...
17 sleeping bags ordered
17×5 = 85 flashlights ordered
Combine like terms so you end up with 10x+2y
Answer:
82 units
Step-by-step explanation:
From the image, we can see that the 2 triangles are similar triangles.
Thus:
BC = EF
BD = EG
CD = FG
Now, BD = 4x - 9 and EG = 2x + 15
Thus;
4x - 9 = 2x + 15
4x - 2x = 15 + 9
2x = 24
x = 24/2
x = 12
Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39
Also, EF = BC = 17
FG = 26
Thus, perimeter of triangle EFG is;
P = 26 + 17 + 39
P = 82 units