Find the equation of the exponential function represented by the table below: 2
y
0
0.2
1
0.1
2.
0.05
3 0.025
Y
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attempt 1 out of 2

is the answer.

Step-by-step explanation:

Let the equation of the exponential function is,

Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)

For a point (0, 0.2),

0.2 =

a = 0.2

For another point (1, 0.1),

0.1 =

b = = 0.5

Therefore, exponential function defined by the given table is,

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2