The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.

7 0

3 years ago

What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?

Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = $\frac{15}{10}=\frac{3}{2}$ If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

$15(\frac{3}{2})= \frac{45}{2}=22.5$ Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

$A_n=a_1(r)^{n-1$ where a1 is the first number in the sequence and r is the common ratio. Filling in:

$A_n=10(\frac{3}{2})^{n-1$

8 0

3 years ago