Pls help me!!!! I don't know this.

Answer:

A

Step-by-step explanation:

given

16x² + 16xy + 4y²

an expression factorised as a perfect square has the form

(ax + by)²

= a²x² + 2abxy + b²y²

16x² + 16xy + 4y² ← is in this form

with a² = 16 , b² = 4

so a = = 4 and b = = 2

then 2ab = 2(4)(2) = 16

Thus

16x² + 16xy + 4y² = (4x + 2y)² ← in factorised form

Answer:

a) y = 1500 * 3^x

Step-by-step explanation:

This equation indicates that the number of songs available, y, is equal to the initial number of songs (1500) multiplied by 3 raised to the power of the number of years, x. This reflects the expectation that the collection of songs will triple each year.

Answer:

32

Step-by-step explanation:

5c + 2, if c = 6

5(6) + 2

30 + 2

= 32

Answer:

First three terms = 28, 22, and 16

Step-by-step explanation:

The formula for the nth term of an arithmetic sequence is given by:

an = a1 + (n-1)d, where:

• an is the nth term,
• a1 is the first term,
• n is the term position (e.g., 1st, 4th, etc.),
• and d is the common difference.

Step 1:  Find a1:

We can find a1 by substituting 10 for an, 4 for n, and -6 for d in the nth term formula:

10 = a1 + (4 - 1) * -6

10 = a1 + 3 * -6

(10 = a1 - 18) + 18

28 = a1

Thus, the first term is 28.

Step 2:  Find a2 (the second term):

Now, we can find the second term by substituting 28 for a1, 2 for n, and -6 for d in the nth term formula:

a2 = 28 + (2 - 1) * -6

a2 = 28 + 1 * -6

a2 = 28 - 6

a2 = 22

Thus, the second term is 22.

Step 3:  Find a3 (the third term):

Now, we can find the third term by substituting 28 for a2, 3 for n, and -6 for d in the nth term formula:

a3 = 28 + (3 - 1) * -6

a3 = 28 + 2 * -6

a3 = 28 - 12

a3 = 16

Thus, the third term is 16.

Step 4:  Write the first three terms:

Therefore, the first three terms of the arithmetic series are 28, 22, and 16.