Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.
Answer:
x=15
Step-by-step explanation:
subtract 1 from both sides so you are left with 2x=5x-45
then subtract 5x from both sides and you have -3x=-45
then finally divide -3 from -45 to get x=15
Answer:
(a) 

(b)

Step-by-step explanation:
(a)

Let u = π x
differentiating with respect to x
du = π dx

Putting the value of x and dx

[ c is an arbitrary constant]
Now putting the value of u
(b)

Let 
differentiating with respect to x

2du = dx
Putting the value of x and dx
=
=
Now putting the value of u
[ c is an arbitrary constant]
Answer:
(A) the specific number of siblings for each randomly selected student
Step-by-step explanation:
First Timothy wants to estimate the mean number of siblings for each student in his school
So he selected a random sample of 75 students, then recorded the number of siblings they have
He later find the mean.
You can see the mean was obtained from the selected group not all students in the school hence option D and E are not correct.
Option A clearly indicates a mean was obtained for the siblings that were from the randomly selected students.
<span>the question is 3 variable equation solution
the three equation will be
5x+4y+7z=152
3x+2y+5z=92
2x+2y+4z=74
solving by elimination we get
x=11,y=12,z=7</span>