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2 years ago

Find the 11th term of the arithmetic sequence graphed below. 6 3 -3 -6 -9 -12 -15 -18

Mathematics

1 answer:

Yakvenalex [24]2 years ago

8 0

-57 if you keep following the pattern

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If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?

pochemuha

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

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2 years ago

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Find dy/dx if y =x^3+5x+2/x²-1

stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

$\qquad$ $\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\$

According to the given question, we have –

f(x) = x^3+5x+2
g(x) = x^2-1

Let's solve it!

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2) \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5) - ( x^3+5x+2) 2x}{(x^2-1)^2 }\\$

$\qquad$ $\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\$

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\$

$\qquad$ $\pink{\therefore \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}} = \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\$

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1 year ago

ILL BRAINLIEST YOU PLEASE HELP ME

Nimfa-mama [501]

Answer:

2. 53

3. 37

4. 37

5. 53

6. 106

7. 74

Step-by-step explanation:

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Which list has the numbers in order from least to greatest

Mekhanik [1.2K]

B is the correct answer.

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2 years ago

Please help due in 5 minutes !

Marizza181 [45]

Answer:

x=0

The line of symmetry here is the same as the y-axis. Along the y-axis, x=0.

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Find the 11th term of the arithmetic sequence graphed below. 6 3 -3 -6 -9 -12 -15 -18​

Find the 11th term of the arithmetic sequence graphed below. 6 3 -3 -6 -9 -12 -15 -18