50 points! im so confused i'll mark

write a linear function f with f(−4)=2 and f(6)=−3.

The function of x is .

SOLUTION:  

Given that, we have to write a linear function f with function of (-4) =2 and function of 6=(−3).

Now, let the linear function be

Then, function of -4 =

And, function of 6 =

On equating (1) and (2) to find the value of a,

On grouping the common terms,

On substituting the value of (3) in (1) we get,

So, the function of x =

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week