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Alexus [3.1K]
3 years ago
10

F(1) = 5

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

a(7)=3645

Step-by-step explanation:

you have :

f(1) =a= 5

and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)

So r=3

then

a(n)=a*r^(n-1)

a(7)=5*3^(7-1)

a(7)=5*3^6=3645

<em>hope this helps</em>

<em />

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5x + 3y = -2
tamaranim1 [39]

Answer:

x = -1 , y = 1

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = -2 | (equation 1)

3 x + 2 y = -1 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x + 3 y = -2 | (equation 1)

0 x+y/5 = 1/5 | (equation 2)

Multiply equation 2 by 5:

{5 x + 3 y = -2 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -1 , y = 1

8 0
3 years ago
One day, the Early Bird Restaurant used
stiks02 [169]

Answer:

F. 23

Step-by-step explanation:

15/2 = 7.5

7.5 dozen eggs per 100 customers

15 + 7.5 = 22.5 which can be rounded to 23

= 23

3 0
2 years ago
Do the values in the table represent a proportional relationship?
Marianna [84]

Answer:

NOT proportional

Step-by-step explanation:

y/x  = 5/2 = 2.5

y/x = 6/3 = 2

also 7/4 = 1. 75 and 8/5 = 1.6  so:-

They are NOT proportional

5 0
3 years ago
The sum of two consecutive odd integers is 32 what are the two integers
padilas [110]
15 and 17 is the answer
6 0
3 years ago
A. Rewrite the function y = x2 – 14x + 58 in vertex form by completing the square. Show your work. B. Rewrite the function y = –
marysya [2.9K]

Answer:

A. y = (x -7)² +9

B. y = -(x +3)² -11

C. minimum, (7, 9)

D. maximum, (-3, -11)

Step-by-step explanation:

The general steps to rewriting the function in vertex form are ...

1. factor out the leading coefficient (if not 1) from the first two terms

2. add inside parentheses the square of half the x coefficient; subtract the same amount outside parentheses. The factor in front of the parentheses must be taken into account when adding the same amount outside.

3. rewrite the content of parentheses as a square, collect terms outside parentheses.

___

A. y = x² -14x +58

y = (x² -14x) +58 . . . . . . . . . . step 1

y = (x² -14x +49) +58 -49 . . . step 2

y = (x -7)² +9 . . . . . . . . . . . . . step 3

__

B. y = -x² -6x -20

y = -(x² +6x) -20

y = -(x² +6x +9) -20 -(-9)

y = -(x +3)² -11

__

C. In vertex form, the function for vertical scale factor "a" and vertex (h, k) looks like ...

y = a(x -h)² +k

When a < 0, the vertex is a maximum (the graph opens downward); when a > 0, the vertex is a minimum (the graph opens upward).

The function of part A has a minimum at the vertex (7, 9). 9 is the minimum value.

___

D. The function of part B has a maximum at the vertex (-3, -11). -11 is the maximum value.

8 0
3 years ago
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