Answer:
(c) For p = 15, 
leaves a remainder of -2 when divided by (x-3).
Step-by-step explanation:
Here, The dividend expression is = E(x)
The Divisor = (x-3)
Remainder = -2
Now, by <u>REMAINDER THEOREM</u>:
Dividend = (Divisor x Quotient) + Remainder
If ( x -3 ) divides the given polynomial with a remainder -2.
⇒ x = 3 is a solution of given polynomial E(x) - (-2) =
= S(x)
Now, S(3) = 0
⇒
or, p =1 5
Hence, for p = 15, leaves a remainder of -2 when divided by (x-3).
Answer:
2 a
Step-by-step explanation:
Possible derivation:
d/dx(2 a x + 2 a y)
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + d/dx(2 a y)
The derivative of x is 1:
= d/dx(2 a y) + 1 2 a
The derivative of 2 a y is zero:
= 2 a + 0
Simplify the expression:
Answer: 2 a
Answer:
Step-by-step explanation:
10 = r²h
(2r)²(2h) = 16r²h
volume of B is 1.6 times the volume of A
Answer:
- final balance: A
- initial investment: P
- return rate: r
Step-by-step explanation:
The variable assigments can be anything you like. It is often helpful to use variables that will remind you what they stand for. Here, we have chosen A = amount (final balance); P = principal (initial investment); r = rate.
