Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each explicit formula to its corresponding recursive formula. tiles: f(n)=3+8(n-1) f(n)=4+5(4)^n-1 f(n)=8+3(n-1) f(n)=8+8(n-1) f(n)=8(2)^(n-1) f(n)=4+4(5)^n-1 pairs: f(1)=8, f(n)=5f(n-1)-16 for n > 2 < > f(1)=8, f(n)=f(n-1)+8 for n > 2 < > f(1)=8, f(n)=3+f(n-1) for n> 2 < >answer, i am so frustrated

Pair 1:  f(1)=8, f(n)=5f(n-1)-16 for n > 2 <>  f(n)=4+4(5)^n-1

Pair 2: f(1)=8, f(n)=f(n-1)+8 for n > 2 <>  f(n)=8+8(n-1)

Pair 3:  f(1)=8, f(n)=3+f(n-1) for n>2 <> f(n)=8+3(n-1)

Step-by-step explanation:

In an explicit formula for a geometric sequence (a sequence in which each term is found by multiplying a constant to the previous term), the number that's multiplied each time (the common ratio) is raised to the n-1 power.

For the first pair, we see that we multiply 5 by the previous term each time; this means that in the explicit formula, 5 would be raised to the n-1 power.  We also see that f(1) = 8; this means the sequence starts at 8.  This means f(n)=4+4(5)^n-1 describes this sequence.

In an explicit formula for an arithmetic sequence (a sequence in which each term is found by adding a constant to the previous term), the number that's added each time (the common difference) is multiplied by n-1.

For the second pair, we see that we add 8 to the previous term each time; this means that in the explicit formula, 8 would be beside n-1.  We also see that f(1) = 8; this means the sequence starts at 8.  This means f(n)=8+8(n-1) describes this sequence.

For the third pair, we see that we add 3 to the previous term each time; this means that in the explicit formula, 3 would be beside n-1.  We also see that f(1) = 8; this means the sequence starts at 8.  This means f(n)=3+8(n-1) would describe this sequence.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.