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3 years ago

What is the common difference between ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768

Mathematics

2 answers:

nikklg [1K]3 years ago

6 0

First, we should see if there are any common differences. We do this by subtracting each term from its previous:

1.5 - 1.2 = 0.3

1.2 - 0.96 = 0.24

Already, we can tell that there is no common difference.

Let's look at common ratio:

1.2/1.5 = 0.8

0.96/1.2 = 0.8

0.768/0.96 = 0.8

Therefore, there is a common ratio and it is 0.8.

sladkih [1.3K]3 years ago

4 0

Answer:

Answer is D: 0.8

Step-by-step explanation:

r = 1.2 / 1.5 = 0.8

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Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

$f(x)=ax^2+bx+c$

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

$2=a(0)^2+b(0)+c$

$c=2$

(-1,0)

For x=-1, y=0

substitute

$0=a(-1)^2+b(-1)+2$

$0=a-b+2$ ----> $a=b-2$ ----> equation A

(-2,0)

For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

$0=4(b-2)-2b+2$

solve for b

$0=4b-8-2b+2$

$2b=6$

$b=3$

Find the value of a

$a=3-2=1$

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see the attached figure N 2 to better understand the problem

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