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3 years ago

Describe the pattern in each sequence and determine the next term of the sequence.

Mathematics

1 answer:

tekilochka [14]3 years ago

4 0

The patterns are multiplying by three!

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−5 1 3 − 2 1/3 zzzzzzzzzzzzzzz

Leona [35]

Answer:

5 1/3

Step-by-step explanation:

6 0

2 years ago

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5x +6y = -6

nadezda [96]

Answer:

(-6,4)

Step-by-step explanation:

If this is the system of equations here is how:

solve for 1 vairuble in the first equation, and plug that it to the other.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

And we want to determine the value of:

$\displaystyle f^{-1}(225)$

Let this value equal a. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for a:

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

3 0

3 years ago

Someone PLSSS HELPPPP !!!!

AnnZ [28]

Answer:

p^3 / q^12

Step-by-step explanation:

p^6 q^4

------------------

p^3 q^16

We know a^b / a^c = a^(b-c)

First with variable p

p^6 / p ^3 = p^(6-3) = p^3

Then with variable q

q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12

p^3 * 1/ q^12

p^3 / q^12

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3 years ago

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Jarred wants to by a go-cart for $1,200

dybincka [34]

the go cart costs 1200

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3 years ago