Answer:
The value of 
Step-by-step explanation:
The graph of 
in attachment.
Using graph to find the value of x such that y<0
y<0, It means all the values of y are negatives.
As we know, negative value of y always below x-axis.
In the graph, we can see between -3 to -1 graph shown below x-axis.
Therefore, all the values of y as 
are negatives.
Hence, the value of
-5r + (-3) = 51
Add 3 to both sides:
-5r = 54
Divide both sides by -5 to get r alone:
r = -10.8
To check this, plug in -10.8 into the equation: -5(-10.8) + (-3) = 51
54 + (-3) = 51
54 - 3 = 51
51 = 51
This statement is true, so the answer is correct.
Step-by-step explanation:
cubing both sides (p+1)^3= (7)^3
=> p^3+1/p^3+ 3(p+1/p) = 343
=> p^3+ 1/p^3 + 3(7)= 343
=> p^3+1/p^3= 343-21
=> p^3+1/p^3= 322
hope it helps
Answer:
Step-by-step explanation:
perp. -3
y + 7 = -3(x - 4)
y + 7 = -3x + 12
y = -3x + 5
Divide the area into 6 portions and find the sum of each one to find the value of the final integral:
f(x)dx = 2(8+4)/2 + 1 (8+6)/2 + 2 (6+10)/2 + 1(10+10)/2 + 2 (10+12)/2 + 1 (12+16)/2
= 12 + 7 + 16 + 10 + 22 + 14 = 81 sq units
