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3 years ago

Which function describes the arithmetic sequence shown?

Mathematics

2 answers:

Snezhnost [94]3 years ago

8 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

3, 1, −1, −3, −5, −7, ...

Here, a = 3

d = a₂-a₁=1-3=-2

Let the number of terms be 'x'.

As we know the formula for "Arithmetic sequence":

$f(x)=a+(x-1)d\\\\f(x)=3-2(x-1)\\\\f(x)=3-2x+2\\\\f(x)=-2x+5$

Hence, Option 'c' is correct.

Shkiper50 [21]3 years ago

3 0

Answer: C.) f(x) = -2x + 5

If you start from x=1, you will see the patter follows -2x + 5

-2(1) +5 = -2+5 = 3
-2(2)+ 5 = -4 + 5 = 1
-2(3) + 5= -6 +5 = -1
And so on...

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G(x) = -3x2 - 4x + 12, find g(-4).

Hoochie [10]

Answer:

Your answer is -20

Hope that this is helpful. Vote and like it

8 0

2 years ago

Read 2 more answers

30 points Someone help im very confused.

Alchen [17]

Answer:

y=cotx

Step-by-step explanation:

5 0

2 years ago

In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago

How old am i if 200 reduced by 2 times my age equals 16?

Anna [14]

Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...

200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16

200 - 2x = 16

Now let's solve for x to find "my age"

First subtract 200 from each side to begin to isolate x

-2x = -184

Divide each side by -2 to isolate x

x = -184/-2
x = 92

I'm 92 years old!

3 0

2 years ago

If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?

kkurt [141]

Answer:

1728/ 125

Step-by-step explanation:

The ratio of corresponding lengths of the figures = ratio of the square root of their areas.

So ratio of lengths = 12/5.

Now volume is 3 dimensional so the ratio is the cube of the lengths

= 12^3/5^3

= 1728/ 125.

7 0

3 years ago