Answer:
31, 32, 33
Step-by-step explanation:
x + x + 1 +x + 2 = 96
3x + 3 = 96
-3 -3
3x = 93
/3 /3
x = 31
31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.
9514 1404 393
Answer:
-203.1875
Step-by-step explanation:
The ends of the interval are ...
(-4, g(-4)) = (-4, 1023 15/16)
(1, g(1)) = (1, 8)
The average rate of change is the slope of the line between these two points:
m = (y2 -y1)/(x2 -x1)
m = (8 -(1023 15/16))/(1 -(-4)) = (-1015 15/16)/5 = -203 3/16
The average rate of change on the interval is -203 3/16.
Answer:
Simplifying the expression:
we get 
Step-by-step explanation:
We need to simplify the expression: 
First we will solve terms inside the bracket

Converting mixed fraction
into improper fraction, we get: 
Replacing the term:

Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket

Now, combine like terms

Now, multiply all terms with 2

So, Simplifying the expression:
we get 
10. The volume of the triangular prism is
, then
.
11. The volume of the triangular pyramid is
, then
.
12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.
13. See 10 and 11 for notations in symbols.