How do you expand -10(4-b)

Mathematics

1 answer:

katen-ka-za [31]2 years ago

5 0

Answer:

Step-by-step explanation:

−10(4−b)

=(−10)(4+−b)

=(−10)(4)+(−10)(−b)

=−40+10b

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Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).

e-lub [12.9K]

Answer:

Step-by-step explanation:

The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function

g(x,y) = sin(π(x−5y)

∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))

(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]

(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]

∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j

∇g = π [cos (π(x−5y))] [î - 5j]

So, the question requires a direction vector and a point to fully evaluate this directional derivative now.

8 0

3 years ago

Jared made 4 bird houses in 3 days. How many days will it take him to make 28 bird houses.

pogonyaev

4 times 7 = 28

3 times 7 = 21

It will take him 21 days to make 28 bird houses.

6 0

3 years ago

AFLATI 2 NUMERE STIIND CA AL DOILEA NUMAR ESTE DE 7 ORI MAI MARE DECITPRIMUL IAR SUMA DINTRE DUBLUL PRIMULUI NUMAR SI TRIPLUL CE

postnew [5]

Answer:

The numbers are 20 and 140

Step-by-step explanation:

<u><em>The question in English is</em></u>

Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460

Define the variables

Let

x ----> the first number

y ----> the second number

we know that

$y=7x$ -----> equation A