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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

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What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

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8 0

2 years ago

Write 53,278 in Expanded Form

noname [10]

53,278 can be written as:

50,000 + 3,000 + 200 + 70 + 8

6 0

3 years ago

Help me fill in the blanks please help

agasfer [191]

The missing values in the inequality problem are;

A = -9

B = 72

C = 22

<h3>What is the explanation for the above?</h3>

5p - 8 (p + 1) > 16 ......................... (1) Given

5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given

Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,

Substitute 10 for p

⇒ 5 (-10) - 8(-10+1)> 16

⇒ -50 -8(-9) > 16

⇒ -50 + 72 > 16

Hence

22 > 16 → T

Please note that T is symbolic of "True" that is

it is true that 22 is greater than 16.

Learn more about inequality problems:

brainly.com/question/11613554

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3 0

2 years ago

What is the solution set? (0, -2) (2, 0) (7, 0) (5, 3)

Dvinal [7]

Answer:

(5,3)

Step-by-step explanation:

Look for the coordinates of the point of intersection where the 2 graphs cross. This gives the solution.

In this case, they cross at (5,3) and they intersect at only one location (i.e there is only 1 solution)

7 0

3 years ago

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Explain why there are either two, one, or no solutions for absolute value equatins. Demonstrate an example for each

AleksAgata [21]

No solution: because the absolute value is positive and can't equal a negative

|x| = -1

One solution: because zero only has one sign

|x| = 0 ⇒ x = 0

Two solutions: absolute value is positive whether x is positive or negative.

|x| = 2 ⇒ x = 2 or x = -2

4 0

3 years ago

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