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3 years ago

Is the function y=6/x-6 linear or non linear

Mathematics

2 answers:

kupik [55]3 years ago

4 0

y = 6/x - 6

To a function be linear we need

y = ax + b

Not y = a/x + b

So it's non linear.

Ghella [55]3 years ago

4 0

Answer:

It is non linear

Step-by-step explanation:

It is a different type of function which looks like the picture I put down below

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3 years ago

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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1

marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 6 cm

h = 18 cm

$\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}$

$\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}$

Given:

x = 8 cm

$\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}$

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.

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2 years ago

Question part points submissions used how many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)

BigorU [14]

Hello here is a solution
look graph :
the curve : color blue
the first tangent : y = 0.13x +1.87 color Pink
the second tangent : y = 1.88 x +0.14 color green