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3 years ago

Write a recursive formula for f(n) = -3 + 2 for n > = 1

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

$f(n) = f(n - 1) - 3$

Step-by-step explanation:

Assuming the explicit formula is

$f(n) = - 3n + 2$

Then f(1)=-3+2=-1

f(2)=-6+2=-4

The common difference is -4--1=-3

Then the recursive formula is given as:

$f(n) = f(n - 1) + d$

$f(n) = f(n - 1) - 3$

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Sandra has 46 fewer coins than Martha. Sandra has 57 coins . how many coins does Martha have?

hoa [83]

M = 57+46
(Since she has 46 less then martha, you know to find how many martha has you have to add 46!)

M=103

So martha has 103 coins!

6 0

3 years ago

Oints Q and R are midpoints of the sides of triangle ABC.

MariettaO [177]

Answer:

AQ = 20 units

Step-by-step explanation:

Comparing triangle AQR to ABC,

$\frac{AQ}{AB}$ = $\frac{QR}{BC}$

$\frac{4p}{8p}$ = $\frac{2p + 3}{6p-4}$

cross multiply and make p the subject of formula, we have:

8p (2p+3) = 4p(6p-4)

16 $p^{2}$ + 24p = 24 $p^{2}$ - 16p

24p + 16p = 24 $p^{2}$ - 16 $p^{2}$

40p = 8 $p^{2}$

divide through by 8p,

p = 5

Therefore, AQ = 4p

= 4 × 5

= 20

AQ = 20 units

3 0

3 years ago

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.

Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

6 0

2 years ago

Is x-1 a factor of x^5+2x^2-1

vazorg [7]

Answer: i think no cuz f(1)=2 but i am not sure

Step-by-step explanation:

5 0

3 years ago

Someone please help me!!

Alinara [238K]

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

4 0

3 years ago