Given that the function is
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function
, we have;



Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function
, we have;



Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,

where
and 
Thus, we have;




Thus, the average rate of change over the interval
is -1.
Answer:
C
Step-by-step explanation:
I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day
The desired answer is probably that
2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.
_____
I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
Answer:
FC = 27, QC = 18
Step-by-step explanation:
The centroid Q is
the way along CF , therefore, QF is half as long as CQ
Given FQ = 9, then
QC = 2 × 9 = 18
FC = FQ + QC = 9 + 18 = 27
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14