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PIT_PIT [208]
2 years ago
10

The function f is given by the table of values as shown below.

Mathematics
2 answers:
lubasha [3.4K]2 years ago
7 0

Answer:3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

 19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

 18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

__

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

 9, 15, 33, 87, 249

__

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

 (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

i hope this helps

MArishka [77]2 years ago
4 0

Answer:

i think we have the same test but if im right this is the answer

Step-by-step explanation:

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kolbaska11 [484]

Answer:

Based on your line, what is the likely test score of a student who does not study for the test? 45

7 0
3 years ago
(y x 1) + 2 and y + 2, is it equivalent or non equivalent?
enot [183]

Given:

The two expressions are

(y\times 1)+2

y+2

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

(y\times 1)+2=y+2

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

5 0
3 years ago
Find the distance between each pair of points.round your awnser to the nearest tenths,if nessesary (-3,-4),(0,0) problem 2 (-8,0
Arte-miy333 [17]

Answer:

1st one: -3,-4 away

2nd one: Lets just say I got kinda confused on that one so sorry for any inconvenience on my behalf from this question.

Step-by-step explanation:

I will call (-3,-4) Point A and I'll call (0,0) Point B. Point A is at (-3,-4) and Point B is obviously at the origin. That makes it easy, because you just subtract Point A by Point B to find how far away they are.

3 0
3 years ago
What is the equation of a line in point-slope form that passes throught -8, 1 and has a slope of 5/6
Flauer [41]

Answer:

5x - 6y +36 =0 is the required equation.

Step-by-step explanation:

(x1, y1) =(-8, - 1)

Slope (m) =5/6

The equation is:

(y - y1) =m(x-x1)

y +1=5/6(x +8)

6y +6 =5x +40

5x - 6y +36 =0 is the required equation.

Hope this helps!!!!

6 0
3 years ago
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequ
mart [117]

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

3 0
2 years ago
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