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neonofarm [45]
3 years ago
8

Decide whether each relation defines y as a function of x. Give the domain and range.

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0
Y=x².

This is te function of a parabola open upward

the domain is all values of x ={x/x∈z}
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3 years ago
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Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
Solve the equation:<br> 5|2x-7|=20
MA_775_DIABLO [31]

Answer:

x = \frac{11}{2}, \frac{3}{2}

Step-by-step explanation:

First, isolate the absolute value:

5|2x - 7| = 20

divide both sides by 5:

|2x - 7| = 4

break into 2 equations:

2x - 7 = 4, 2x - 7 = -4

solve both equations and collect solutions:

2x = 11, 2x = 3

x = \frac{11}{2}, \frac{3}{2}

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