3 years ago

Find the value of x in the diagram below

Mathematics

1 answer:

Marysya12 [62]3 years ago

6 0

Answer:

120 degrees

Step-by-step explanation:

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Create a 3rd degree polynomial function with one zero at three. Sketch a graph

DedPeter [7]

Answer:

$f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27$

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

$f(x) = {(x - 3)}^{3}$

We expand to get:

$f(x) = x( {x}^{2} - 6x + 9) - 3( {x}^{2} - 6x + 9)$

$f(x) = {x}^{3} - 6 {x}^{2} + 9x- 3 {x}^{2} + 18x - 27$

This simplifies to:

$f(x) = {x}^{3} - 9 {x}^{2} + 27x - 27$

See attachment for graph.

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3 years ago

Consider the sequence: 11, 21, 31, …, … , … What is the nth term of this sequence ?

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I would say that the "n"th term of the sequence is 41, as the pattern increases by 10 every term.

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3 years ago

8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he

Dvinal [7]

Answer:

y=¾(4x-20)

y=3x-15

Final answer= y - 3(x+12)

=y - 3x-36

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3 years ago

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Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con

vagabundo [1.1K]

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

$Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3}$

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2 years ago

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Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2

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Answer:

6 is your answer :)

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3 years ago