Answer:
C. (5x^3-7)(2x^2+1)
Step-by-step explanation:
Given expression is,
10x^5+5x^3-14x^2-7
=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)
=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )
=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)
\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)
Hence, Option C is correct
Answer:
32
Step-by-step explanation:
No of desks along length of the rectangle = 7 as it is 7 rows wide.
No of desks along breadth of the rectangle = 7 as it is 5 rows long.
Total number of students is product of these two numbers.
So number of students = 35.
But three desks are empty.
Total students = 35- 3
= 32.
If n is the first integer, then n+2 is the second one. The equation for the sum can be written as
n + (n+2) = 24 . . . . . . this equation can be used to solve the problem
2n = 22 . . . . . . . . . . . simplify, subtract 2
n = 11
The integers are 11 and 13.
_____
I like to solve problems like this by looking at the average of the integers. Here, it is 24/2 = 12. The consecutive odd integers whose average is 12 are 11 and 13.
Answer:
Life is fleeting and always changing.
Step-by-step explanation:
The author mentions how we feel joy and sadness and so many other emotions. Our emotions are everchanging and it will continue to change from day to day.
Answer:
Step-by-step explanation:
Ask yourself, when will Xavier and Yolanda meet??
Firstly, since it is given that Xavier doesn't wait at all, in order for them to meet, Yolanda must arrive before Xavier. This in mathematical terms can be expressed as
Secondly, Yolanda will wait for only 45 minutes, So Xavier must arrive before that, i.e
Combining both conditions, we obtain
If 
and 
be the density functions for Xavier and Yolanda respectively, the probability of meeting is given by,
.
