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3 years ago

Does the table represent a function, -3, 6, -2,9, 0,4, -2,5

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

No. There are two solutions to the point x=-2: 9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

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A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 2 meters of ho

ANTONII [103]

Answer:

Step-by-step explanation:

Given

Radius of cone $R=3\ m$

height of cone $H=6\ m$

Chocolate is filled up to a height of $h=2\ m$

Work done to lift a body to a height h when F force is applied is given by

$W=Fh$

An infinitesimally slice of chocolate $\Delta y$ at a height of y has a radius

$r=\dfrac{R}{H}\cdot h$

Volume of slice is $dV=\pi r^2y$

$mass =\rho \times dV$

This mass need to be raised to a height of 6-y which requires a work of

$dW=\rho (\pi r^2ydy)g(6-y)$

To empty the tank

$W=\int_{0}^{3}\rho \cdot \pi \cdot g\cdot r^2\cdot (6-y)dy$

at $h=y$

$r=\dfrac{R}{H}\cdot y$

$r=\dfrac{3}{6}y$

$r=\dfrac{y}{2}$

$W=\int_{0}^{3}\rho \cdot \pi \cdot g\cdot \dfrac{y^2}{4}\cdot (6-y)dy$

$W=10^3\times \pi \times \dfrac{1}{4}\times (2y^3-\dfrac{1}{4}y^4)_0^3$

$W=259.80\ kJ$

4 0

3 years ago

Graph the function f(x)=|x+1|+2

11111nata11111 [884]

Answer:

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Hope this helps!

3 0

3 years ago

Answer? Multiple choice?

pogonyaev

Given fraction is
$f(x) = \frac{x^2 + 4x + 3}{x^2 - 9}$

As we know fraction is not defined where denominator is equal to zero.

So let's find where denominator is zero.

$x^2 - 9 = 0$

We can factorize it as $a^2 - b^2 = (a+b)(a - b)$

So we can write given equation as

$(x+3)(x-3) = 0$

So x = 3 or x = -3.

So function is undefined at x = 3 and x = -3.

So option 3 is correct.

7 0

4 years ago

Read 2 more answers

you are asked to draw a triangle with side lengths of 3 inches, 4 inches and 1 inch. how many triangles can you make like this??

Mandarinka [93]

No, this would not make a triangle because there is a rule that any two sides of a triangle of added together must be larger than the one that is left over.

5 0

4 years ago

Read 2 more answers

2x squared plus 3x minus 2 plus 7

alex41 [277]

Answer:

2x^2 + 3x + - 2 + 7

4x + 3x - 2 + 7

7x + 5

Step-by-step explanation:

2x^2 + 3x + - 2 + 7

4x + 3x - 2 + 7

7x + 5

5 0

4 years ago

Read 2 more answers