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arlik [135]
3 years ago
8

1. Is down below and is the first photo.

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

1. a_{n}=\frac{1}{3} a_{n-1} where a_{1} =27

2. 2^{x+1}

3. The domain is {-12,-8,0,1}. The range is {0,12,8}.

Step-by-step explanation:

1. The recursive formula is defined as an implicit way of writing the rule of a function or pattern. It is implicit because it uses previous terms to find the next term in the pattern. We multiply, add, subtract or divide a previous term by a constant value or expression to find the next. In this case, 27 becomes 9 through division by 3 or multiplication by 1/3. The pattern continues 9(1/3)=3 and so forth.

2. The function f(x) is an exponential and has a general form of y=ab^x. We know f(x) is 2^x. The points of g(x) all changed from f(x) by shifting over to the left. This transformation occurred by 2^{x+1}.

3. Domain is defined as the set of all x-values. Range is defined as the set of all y-values. The domain is {-12,-8,0,1}. The range is {0,12,8}.

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Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

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