Because
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
Answer: 2√2 - 3Explanation:The expession written properly is:
To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.
That is, you have to multiply both numerator and denominator times the conjugate of the denominator.
The conjugate of √3+√6 is √3 - √6, so let's do it:
To help you with the solution of that expression, I will show each part.
1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =
= 3 - 2√18 + 6 = 9 - 6√2.
2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3
3) Then the resulting expression is:
9 - 6√2
-----------
-3
Which can be further simplified, dividing by - 3
-3 + 2√2
Answer: 2√2 - 3
Answer:
The careers that use Pythagoras theorem are mentioned below.
Step-by-step explanation:
The Pythagoras theorem states that the sum of squares of the two sides of right angled triangle is equal to the square of the length of the hypotenuse.
Let a, b and c be the sides of a right triangle where c is the length of the hypotenuse.Then
Pythagoras theorem is used in daily life situations.
A surveyor looks through a telescope toward a measuring stick a fixed distance away, so that the telescope's line of sight and the measuring stick form a right angle.
It is also used to calculate the steepness of slopes and mountains.
Answer:
width = 10 inches
Step-by-step explanation:
V = lwh
w = 
= 
= 
= 10 inches
Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.
Step-by-step explanation:
