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Arte-miy333 [17]
3 years ago
7

The sequence an = one third(3)n − 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average

rate of change between n = 3 and n = 4.
Mathematics
2 answers:
Maru [420]3 years ago
8 0
The given sequence is:

a(n)= \frac{1}{3}  (3)^{n-1}

a(2)=1
a(3)=3
a(4)=9

We are to find the average rate of change between n=3 and n=4 for the given function.

Average rate of change = \frac{a(4)-a(3)}{4-3} = \frac{9-3}{1}=6

So the average rate of change for the given function from n = 3 to n = 4 is 6
d1i1m1o1n [39]3 years ago
8 0

Answer:

the average rate of change i s n = 3 to n = 4 is 6

Step-by-step explanation:

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Which model represent the factors of 4x2-9
lions [1.4K]

Step-by-step explanation:

4x²-9

4x²+6x-6x-9

4x²+6x-6x-9

2x(2x+3)-3(2x+3)

2x(2x+3)-3(2x+3)

(2-3)(2x+3)

solution

(8x-3)(2x+3)

6 0
2 years ago
Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi
Lapatulllka [165]
Let us determine each of their rates of work:

Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.

In the same way, Jacob can do 1/2 of the work per hour. 

Now, what would be the rate of work if they were working together? Let's look at it like this:

Hours to complete the job:
Tiana = 3
Jacob = 2
Together = t

Work done per hour:
Tiana = 1/3
Jacob = 1/2
Together = 1/t

If you add their labor together:

1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2

Together, they can clear the field in 1.2 hours.
4 0
3 years ago
Read 2 more answers
In the figure below, segment AC is congruent to segment AB:
stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0
3 years ago
So can someone just kinda do these
Ann [662]

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

9.) 2

Step-by-step explanation:

this is what i got i hope they are all right

slope formula: (y2 - y1) / (x2 - x1)

5 0
3 years ago
If f(x)=x^2-3 and
Kipish [7]
Since it is f of g you have to start by plugging in g(x) into f(x)

(4-3x)^2-3

Then just solve the equation

(4-3x)^2-3
(4-3x)(4-3x)-3 Square the binomial
8-12x-12x+9x^2-3 Combine like terms
5-24x+9x^2 Final answer
4 0
3 years ago
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