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3 years ago

What is the 9th term of the sequence 2, - 6, 18,- 54, ...?

1 answer:

5 0

$a_1=2;\ a_2=-6;\ a_3=18;\ a_4=-54\\\\It's\ a\ geometric\ sequence:a_n=a_1r^{n-1}\\\\r=a_2:a_1\to r=-6:2=-3\\\\a_n=2\cdot(-3)^{n-1}\\\\n=9\to a_9=2\cdot(-3)^{9-1}=2\cdot(-3)^8=2\cdot6,561=13,122\\\\\boxed{a_9=13,122}$

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What is the average rate of change of the function over the interval x = 0 to x = 8?<br>

serious [3.7K]

Answer:

The average rate of change is:

$\frac{13}{161}$

Step-by-step explanation:

The rational function given to us is;

$f(x)=\frac{3x+4}{2x+7}$

$f(0)=\frac{3(0)+4}{2(0)+7}$

$f(0)=\frac{4}{7}$

$f(8)=\frac{3(8)+4}{2(8)+7}$

$f(0)=\frac{28}{23}=1$

The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change = $=\frac{f(8)-f(0)}{8-0}$

$=\frac{\frac{28}{23}-\frac{4}{7} }{8}$

$=\frac{13}{161}$

7 0

3 years ago

Can someone please explain step by step on how I can get the answer? If so I’ll mark you brainliest

krok68 [10]

Answer:

Step-by-step explanation:

18 factors to 2, 3, 3

45 factors down to 5,3,3

6 0

3 years ago

How can i work this problem out

muminat

The form of the linne is given by
Y=mx +b
Where b is the y intercept of the line
That is the point where the line cuts the y axis
So here b= -3
So
Equation is
Y=1/3 x +(-3)
Answer in place of question mark is -3

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n200080 [17]

Answer:

Step-by-step explanation:

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