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jekas [21]
3 years ago
13

Use the following function rule to find f(3). f(x) = (2)^x+2 f(3)=

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0

The value of f(3) is 10

Explanation:

Given that the function rule is f(x)=2^x+2

We need to determine the value of f(3)

<u>The value of f(3):</u>

The value of f(3) can be determined by substituting x=3 in the function rule f(x)=2^x+2

Thus, we have,

f(3)=2^3+2

Simplifying the values, we get,

f(3)=8+2

Adding the value, we get,

f(3)=10

Thus, the value of f(3) is 10

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klasskru [66]

Full working out shown from step 1 to last.

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3 0
2 years ago
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7 0
2 years ago
In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

a+16(-3) = -40

a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0
2 years ago
Read 2 more answers
WHAT IS <br> 9x 3/5 IN FRSCTION FORM NEED HELP THASNK you
asambeis [7]

Answer:

27/5 or 5 2/5

Step-by-step explanation:

Assuming you mean 9 x 3/5

The answer would be

27/5

in Decimals, it would be

5.4

and in mixed numbers form it would be

5 2/5

8 0
2 years ago
Please help i have a c
Sergeu [11.5K]

Answer: the last option

Step-by-step explanation:

the top right is I, the top left is II, the bottom left is III, and the bottom right is IV

6 0
3 years ago
Read 2 more answers
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