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3 years ago

The nth term of a sequence is 3n+4 explain why 21 is not a term of this sequence

1 answer:

6 0

In this sequence, n can only be a natural number. So, if you plug in 5 for n, then you get 19. Also, if you plug in 6 for n, you get 24. Since no natural number can be replaced with n to get 21, it isn’t a term in the sequence

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9(2m + 5n + 10) =

Galina-37 [17]

Answer:

Step-by-step explanation:

9 multiple 2m = 18m

9 multiple 5n = 45n

9 multiple 10= 90

5 0

2 years ago

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Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

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3 years ago

Find the range of the data in the box plot below.

harkovskaia [24]

Answer:

im pretty sure its 2

Step-by-step explanation:

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3 years ago

Which shows the equation 3y – x = 6 written in slope-intercept form?

laila [671]

Slope intercept form : y = mx + b

3y - x = 6 ....add x to both sides
3y = x + 6 ...divide both sides by 3
y = x/3 + 2 <== slope intercept form

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3 years ago

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Ghella [55]

Answer:

Step-by-step explanation:

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2 years ago

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