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What ordered pairs are solutions to this function? 𝑓(𝑥) = −5𝑥 − 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? 11.5𝑥 − 2.3𝑦 ≤ 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? 𝑓(𝑥) = −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? 

Guest Dec 18, 2017
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5+0 Answers

 #1
avatar+80910 
+1

 

For the first one:

 

 𝑓(𝑥) = −5𝑥 − 8

 

a. (2,-18)

c. (12,-68)

 

 

For the second one :

 

11.5𝑥 − 2.3𝑦 ≤ 20.8 

 

a. (-10,10)

c. (0,5)

d. (1,0)

 

 

For the third one :

 

𝑓(𝑥) = −2(0.8)x+1  

 

b. (-1,-2)

 

 

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

 

 

cool cool cool

CPhill  Dec 18, 2017
 #2
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0

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

Guest Dec 18, 2017
 #3
avatar+80910 
+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

 

 

cool cool cool

CPhill  Dec 18, 2017
 #4
avatar+80910 
+1

For the second one, we have

 

11.5x  -  2.3y ≤  20

 

11.5 (-10)  - 2.3(10) ≤ 20    ⇒ -138  ≤ 20   which is true

11.5 (10)  - 2.3(-10) ≤ 20    ⇒ 138  ≤ 20   which is false

11.5 (0)  - 2.3(5) ≤ 20    ⇒ -11.5  ≤ 20   which is true

11.5 (1)  - 2.3(0) ≤ 20    ⇒ 11.5  ≤ 20   which is true

 

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

 

 

cool cool cool

CPhill  Dec 18, 2017
 #5
avatar+80910 
+1

𝑓(𝑥) = −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

 

 

cool cool cool

CPhill  Dec 18, 2017

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