+0

0
465
5

What ordered pairs are solutions to this function? π(π₯) = β5π₯ β 8    (MORE THAN ONE ANSWER)

a. (2,-18)

b. (10, -42)

c. (12,-68)

d. (4,28)

What ordered pairs are solutions to this function? 11.5π₯ β 2.3π¦ β€ 20.8  (MORE THAN ONE ANSWER)

a. (-10,10)

b. (10,-10)

c. (0.5)

d. (1,0)

What ordered paird are solutions to this function? π(π₯) = β2(0.8)x+1   (MORE THAN ONE ANSWER)

a. (0,-16)

b. (-1,-2)

c. (-1.6,-3.5)

d. (2.8,-4.8)

The recursive rule for a geometric sequence is a1 = 6  an = 2an-1 What is the explicit rule?

Dec 18, 2017

#1
+107156
+1

For the first one:

π(π₯) = β5π₯ β 8

a. (2,-18)

c. (12,-68)

For the second one :

11.5π₯ β 2.3π¦ β€ 20.8

a. (-10,10)

c. (0,5)

d. (1,0)

For the third one :

π(π₯) = β2(0.8)x+1

b. (-1,-2)

The explicit rule is  for the nth term  is  :     an  =  6*(2)n-1

Dec 18, 2017
#2
0

Can you tell me how you got the first 3 answers? Thanks

Guest Dec 18, 2017
#3
+107156
+1

OK.......here's the first one

f(x)  =  -5x  -  8

a. (2,-18)

b. (10, -42)

c. (12,-68)

d. (4,28)

Putting 2 into the funnction we get   -5(2) - 8  =  -18

Putting 10 into the function we have  -5(10) - 8  =  -58

Putting 12 into the function we have  -5(12) - 8  = -68

Putting 4 into the function we have  -5(4) - 8  = -28

So......a and c are correct

Dec 18, 2017
#4
+107156
+1

For the second one, we have

11.5x  -  2.3y β€  20

11.5 (-10)  - 2.3(10) β€ 20    β -138  β€ 20   which is true

11.5 (10)  - 2.3(-10) β€ 20    β 138  β€ 20   which is false

11.5 (0)  - 2.3(5) β€ 20    β -11.5  β€ 20   which is true

11.5 (1)  - 2.3(0) β€ 20    β 11.5  β€ 20   which is true

So....a, c and d are correct

Dec 18, 2017
#5
+107156
+1

π(π₯) = β2(0.8)x+1

-2(0.8)0+ 1 =  -1.6       not true

-2(0.8)-1+ 1  =  -2 (0.8)0  =  -2(1)  =  -2   true

-2(0.8)=-1.6+ 1  =  -2(0.8)-.6  = -2.286  not true

-2(0.8)2.8 + 1  =  -2 (0.8)3.8  = -0.856  not true

So......only b is correct

Dec 18, 2017