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3 years ago

Here's a graph of a linear function. Write the equation that describes that function. (If blurry zoom in.)

Mathematics

2 answers:

ahrayia [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Irina-Kira [14]3 years ago

7 0

Answer:

y = 3/2x + 1

Step-by-step explanation:

<u>Since the rise/run is 3/2, that is the slope</u>

<u>The y-intercept is 1 there for that is the b value</u>

Answer: y = 3/2x + 1

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F(n) = 2• (-3)^n

Mashutka [201]

Answer:

$f(1)=-6$

$f(n)=f(n-1)(-3)$

Step-by-step explanation:

We are given that

$f(n)=2\cdot (-3)^n$

We have to complete the recursive formula of f(n).

Substitute n=1

$f(1)=2\cdot (-3)$

$f(1)=-6$

$f(2)=2\cdot (-3)^2=18$

$f(3)=2\cdot (-3)^3=-54$

$\frac{f(2)}{f(1)}=\frac{18}{-6}=-3$

$\frac{f(3)}{f(2)}=\frac{-54}{18}=-3$

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

$f(n)=f(n-1)r$

$f(n)=f(n-1)(-3)$

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