Answer:
Step-by-step explanation:
P(x)= x³ - x² - 18
Q(x) = P(2x-1)
= (2x-1)³ - (2x-1)² -18
= (2x)³ - 3*(2x)² * 1 + 3*2x* 1² - 1³ - [ (2x)² - 2*2x*1 + 1 ] - 18
=8x³ - 12x² + 6x - 1 - [4x² - 4x +1 ] - 18
= 8x³ - 12x² + 6x - 1 - 4x² + 4x - 1 - 18
= 8x³ - 16x² + 10x - 20
Hint : (a-b)³ = a³-3a²b+3ab²-b³
(a-b)² = a² -2ab + b²
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
If you can't split up the peanut butter cups, the identical bags would each have 1 chocolate bar and 1 peanut butter cup because 30 cannot be devided between 18 bags as whole numbers more than once.
Answer:
The linear equation represents a proportional relationship and its constant of proportionality is 
.
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
Where:
- Dependent variable.
- Independent variable.
- Proportionality constant.
If 
and 
and 
, the following expresion is found:
The linear equation represents a proportional relationship and its constant of proportionality is .
Answer:
x = 8
Step-by-step explanation:
Given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x = 4 × 10 = 40 ( divide both sides by 5 )
x = 8
