Consider the numbers 23,643 and 23,987.
Since both the given numbers have same digits at ten thousands and thousands place.
So, we can'not compare the numbers on the basis of ten thousands and thousands digit.
So, let us consider the number 23,643
Consider the place value of digit at the hundreds place. Since, the digit at hundreds place = 6.
The place value of 6 = 600
Now, let us consider the number 23,987
Consider the place value of digit at the hundreds place. Since, the digit at hundreds place = 9.
Te place value of 9 = 900
Since, 900 > 600
So, 23,643 > 23,987
Therefore, the number 23,987 is greater than the number 23,643.
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
-3p^3 + 5p -2p^2 - 4 - 12p + 5 + 8p^3
5p^3 - 2p^2 - 7p + 1
It is the second choice
Answer:
-14.2
Step-by-step explanation:
