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2 years ago

I need help please. Trying to get my HS diploma. I did not graduate :(

Mathematics

1 answer:

grigory [225]2 years ago

3 0

The graph of f(x) + 1 is the graph in the option C.

<h3>Which is the graph of f(x) + 1?</h3>

For a given function f(x), a vertical translation is written as:

g(x) = f(x) + N

If N > 0, then the translation is upwards.
If N < 0, then the translation is downwards.

Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.

From that, we conclude that the correct option is C.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

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Sam packed 42 kg of rice into one big bag and six small ones which were of the same size the small bags .each contain 1/10 of th

PilotLPTM [1.2K]

we are given

Sam packed 42 kg of rice

So, total amount of rice =42kg

And there are six small bags

each contains 1/10 of the rice

So, rice on each bags is

$=\frac{1}{10}\times 42$

$=4.2$ kg

so, total rice in 6 bags is

$=6\times 4.2$ kg

$=25.2$ kg

so, the rice in big bag = ( total amount of rice )-( total rice in six small bags)

we can plug values

and we get

so, the rice in big bag is

$=42-25.2$

$=16.8$ kg..............Answer

4 0

3 years ago

Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .