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3 years ago

A sequence is defined by the recursive formula f (n 1) = f(n) – 2. if f(1) = 18, what is f(5)?

1 answer:

4 0

Would assume:

f(n + 1) = f(n) - 2

f(2) = f(1 + 1) = f(1) - 2 = 18 - 2 = 16

f(3) = f(2 + 1) = f(2) - 2 = 16 - 2 = 14

f(4) = f(3 + 1) = f(3) - 2 = 14 - 2 = 12

f(5) = f(4 + 1) = f(4) - 2 = 12 - 2 = 10

f(5) = 10

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Write the equation of the following graph in intercept form.

Kobotan [32]

Answer:

A) $f(x)=0.2(x+2)(x-5)$

Step-by-step explanation:

The graph has x-intercepts at $x=5$ and $x=-2$ , so our factors for the polynomial will be $x+2$ and $x-5$ . This means we can rule out options B and D.

Our graph also has a y-intercept of $y=-2$ when $x=0$ , so if we let $f(x)=-2$ and $x=0$ , we can find the multiplier:

$f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a$

Thus, the correct equation is A) $f(x)=0.2(x+2)(x-5)$

8 0

2 years ago

FIND THE VALUEOF THE VARIBLE AND FILL THE BLANK.

ludmilkaskok [199]

Answer:

f = 2

g = 8

h = -9

k = 40

m = 1

Step-by-step explanation:

Equation 1:

23f - 17 = 29

Add 17 to both sides. This undoes the -17.

23f = 29 + 17

Add 17 to 29 to get 46.

23f = 46

Divide both sides by 23. This undoes the multiplication by 23.

f = 46/23

Divide 46 by 23 to get 2.

f = 2

Equation 2:

2(3g + 4) = 56

Divide both sides by 2. This undoes the multiplication by 2.

3g + 4 = 56/2

Divide 56 by 2 to get 28.

3g + 4 = 28

Subtract 4 from both sides. This undoes the +4.

3g = 28 - 4

Subtract 4 from 28 to get 24.

3g = 24

Divide both sides by 3. This undoes the multiplication by 3.

g = 24/3

Divide 24 by 3 to get 8.

g = 8

Equation 3:

h + 9 = 0

Subtract 9 from both sides. This undoes the +9.

h = 0 - 9

Any number subtracted from 0 gives its negation.

h = -9

Equation 4

3(k - 8) = 96

Divide both sides by 3. This undoes the multiplication by 3.

k - 8 = 96/3

Divide 96 by 3 to get 32.

k - 8 = 32

Add 8 to both sides. This undoes the -8.

k = 32 + 8

Add 8 to 32 to get 40.

k = 40

Equation 5:

5m - 5 = 0

Add 5 to both sides. This undoes the -5

5m = 0 + 5

Anything plus 0 gives itself.

5m = 5

Divide both sides by 5. This undoes the multiplication by 5

m = 5/5

Anything divided by itself gives you 1.

m = 1

4 0

3 years ago

in 4.5 hours, 11.25 inches of snow fell suppose the same amount of snow fell each hour how much snow fell each hour

Julli [10]

If 11.25 inches snow fell in 4.5hrs,
Then for each hr how much snow fell?

So,
4.5 : 11.25
To find how many inches that fell per hour who would need to divide the number of inches by the numbers of hours

11.25 divided by 4.5 = 2.5

So the answer would be 2.5 inch was of snow per hour

6 0

4 years ago

Solve for y. y y —— = —— P-9 P+9

Veronika [31]

9514 1404 393

Answer:

y = 0

Step-by-step explanation:

Subtracting the right side gives ...

$\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}$