All categories

2 years ago

What is the remainder when 2x^3−9x^2+11 is divided by x−6?

Mathematics

1 answer:

zheka24 [161]2 years ago

8 0

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

= 2(216) - 9(36) + 11

= 432 - 324 + 11

= 119 ← remainder

You might be interested in

F(x) = 5x2 – 20x + 26<br> In vertex form

mihalych1998 [28]

Answer:

$f(x)=5(x-2)^{2}+6$

Step-by-step explanation:

we have

$f(x)=5x^{2} -20x+26$

This is the equation of a vertical parabola open upward

The vertex is a minimum

The equation of a vertical parabola in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

(h,k) is the vertex

Convert the given function to vertex form

Factor the leading coefficient

$f(x)=5(x^{2} -4x)+26$

Complete the square

$f(x)=5(x^{2} -4x+4)+26-20$

$f(x)=5(x^{2} -4x+4)+6$

Rewrite as perfect squares

$f(x)=5(x-2)^{2}+6$ ------> equation in vertex form

The vertex is the point (2,6)

6 0

2 years ago

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3

kvv77 [185]

The correct answer is d. Please give me brainlest I hope this helps let me know if it’s correct or not okay

5 0

2 years ago

Circle A has a diameter of 9 cm Circle B has a radius of 5 cm which Circle has the largest circumference and about how many cent

Alexandra [31]

Answer:

circle b and it is bigger by 1 centimeter

Step-by-step explanation:

since circle b has a radius of 5 and radius is have of the diameter you have to do 5+5 to get the diameter when you do that you get 10 and then you have to subtract circle a diameter which is 9 from circle b diameter which is 10 so 10-9 is 1

4 0

3 years ago

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?

AleksAgata [21]

Answer: y=2

Step-by-step explanation:

Distribute the numbers -2 and 3...

6y-2y-2=3y-6+6

The -6 and 6 cancel each other out...

6y-2y-2=3y

Combine like terms....

4y-2=3y

Move 4y over....

-2=-y

Multiply both sides by -1.....

2=y

That’s your solution! Hope this helps!

8 0

3 years ago

What is b in terms of a and c?

aev [14]

Answer:

$b=\sqrt{c^2-a^2}$

Step-by-step explanation:

The given relation is

$c=\sqrt{a^2+b^2}$

To make $b$ the subject, we square both sides of the equation to get;

$c^2=(\sqrt{a^2+b^2})^2$

$c^2=a^2+b^2$

Isolate $b$ on one side of the equation;

$c^2-a^2=b^2$

$b^2=c^2-a^2$

We take the positive square root of both sides to get;

$b=\sqrt{c^2-a^2}$

6 0

3 years ago