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3 years ago

What is the explicit formula for the arithmetic sequence -100,-70,-40,-10

Mathematics

1 answer:

kherson [118]3 years ago

7 0

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

We have:

$a_1=-100,\ a_2=-70,\ a_3=-40;\ a_4=-10,\ ...\\\\d=a_{n+1}-a_n\to d=-70-(-100)=-70+100=30$

Substitute:

$a_n=-100+(n-1)(30)=-100+30n-30=30n-130$

Answer: an = 30n - 130

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In the equation y = 2/3 x - 5, name the slope (m), and the y-intercept (b).

balu736 [363]

Answer:

The slope is 2/3 and the y intercept is -5

Step-by-step explanation:

y = 2/3x -5

This is in the form y= mx +b where m is the slope and b is the y intercept

m =2/3 and b =-5

The slope is 2/3 and the y intercept is -5

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3 years ago

PLEASE HELP I RLLY DONT KNOW WHAT TO DO

Jlenok [28]

Answer:

a) f(0) = -9

b) f(2) = -5

c) f(-3) = -15

d) f(1/2)=-8

Step-by-step explanation:

We are given the function $f(x)=2x-9$ and we need to find the following:

a) f(0)

For finding f(0) put x =0 in the given function

$f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9$

So, we get f(0)=-9

b) f(2)

For finding f(2) put x =2 in the given function

$f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5$

So, we get f(2)=-5

c) f(-3)

For finding f(-3) put x =-3 in the given function

$f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15$

So, we get f(-3)=-15

d) f(1/2)

For finding f(1/2) put x =1/2 in the given function

$f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8$

So, we get f(1/2)=-8

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3 years ago

1/4 of 1% expressed as a decimal

Andru [333]

Answer:

0.0025

Step-by-step explanation:

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3 years ago

Read 2 more answers

The heights, in inches, of several seventh-grade students at Evan Mills Middle School are

Softa [21]

No sé pero lo investigaré y te ayudaré ahora mismo

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3 years ago

A survey of 1000 high school students found that 781 students own a cell phone and 133 of those students who own a cell phone al

kirza4 [7]

This question is not complete. Find attached the complete question and the figure showing the two way table.

Answer:

a. P(owns a cellphone) = 781/1000

b. P(does not own a PS4) = 421/500

c. P(owns a PS4 U does not own a cellphone) = 377/1000

d. P(owns a PS4 n does not own a cellphone) = 25/158

e. P(owns a PS4 | own a cell phone) =

158/1000

f. P(owns a cellphone | own a PS4) = 781/1000

Step-by-step explanation:

Total number of students = 1000 students

We have two variables,

1. The students who own cellphones

2. The students who own PS4

a. P(owns a cellphone)

From the question and the table, we are told that 781 people own cellphones.

Hence, P(owns a cellphone) = 781/1000

b. P(does not own a PS4)

From the attached table, we can see that the number of students that does not own a PS4 = 842

Hen P(does not own a PS4) = 842/1000 = 421/500

c. P(owns a PS4 U does not own a cellphone) =

First we find the Probability of student that owns a PS4

Number of students that own a PS4 = 158

P(owns a PS4 ) = 158/1000

Number of students that does not own a cell phone = 219

P(does not own a cell phone) = 219/1000

Therefore, P(owns a PS4 U does not own a cellphone) = P(owns a PS4 ) + P(does not own a cell phone)

= 158/1000 +219/1000

= 377/1000

d. P(owns a PS4 n does not own a cellphone) =

From the table, we obtain that as =

25/158

e. P(owns a PS4 | own a cell phone) =

P(owns a PS4 n own a cell phone) ÷ P(own a cell phone)

= P(owns a PS4)

From the table that would give us = 158/1000

f. P(owns a cellphone | own a PS4) =

P(owns a cellphone n own a PS4) ÷ P(own a PS4)

= P(owns a cellphone

From the table, this is given as :

781/1000

4 0

3 years ago