Part A
Write the explicit formula in function form.
an = 5 +0.2(n - 1)
f(n) =

Part b
What is the y-intercept of the function​

Answers

Answer 1

Answer:

f(n) = 0.2n + 4.8

4.8

Step-by-step explanation:

Given the explicit formula :

an = 5 +0.2(n - 1)

Expressing an in function form f(n):

f(n) = 5 + 0.2(n - 1)

f(n) = 5 + 0.2n - 0.2

f(n) = 5 - 0.2 + 0.2n

f(n) = 0.2n + 4.8

The y - intercept :

Set n = 0

f(n) = 0.2n + 4.8

f(0) = 0.2(0) + 4.8

= 0 + 4.8

= 4.8

y intercept = 4.8


Related Questions

Suppose that a bike rents for 50php plus 8php per hour. Write an equation in slope-intercept form that models this situation.

Answers

Answer: C(x) = (8 php)*x + 50 php.

Step-by-step explanation:

In a linear equation:

y = a*x + b

a is the slope.

x is the variable

b is the y-intercept.

In this case, we have

The rent is 50 php fixed, plus 8 php per hour.

Then we will pay the 50php only one time, and it does not depend on the number of hours that we rent, then this is the y-intercept.

then if we rent the bike for x hours, we will pay a plus of x*8 php.

Then the total cost for x hours, C(x), will be

C(x) = (8 php)*x + 50 php.

Then the slope is 8 php, and the y-intercept is 50 php.

Evaulte This giving brainliest to the correct one

Answers

Answer:

B. 6

Step-by-step explanation:

Sub in 2 for x:

4² - (2+8)

4² - (10)

16-10

6

I’m pretty sure the answer is 6

If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function f(x)=-16x^2+100x+5 to calculate how far the potato will be from the ground at any given second (x). Use this information to determine how long it will take the potato to hit the ground.

Answers

Answer:

Step-by-step explanation:

Given the function f(x)=-16x^2+100x+5 to calculate how far the potato will be from the ground at any given second (x), the potato hits the ground when g(x) = 0

The function becomes'

0 =-16x^2+100x+5

-16x^2+100x+5 = 0

multiply through by minus

16x^2-100x-5 = 0

x = 100 ±√100²-4(16(-5))/2(16)

x = 100±√10000+320/32

x = 100±101.59/32

x = 100+101.59/32

x = 202.59/32

x = 6.299 secs

Hence the potato will hit the ground after 6.299secs

The time taken by potato to hit the ground is [tex]6.299[/tex] seconds.

The potato will be from the ground at any given second (x) is given by below function.

             [tex]f(x)=-16x^2+100x+5[/tex]

To find the time taken by potato to hit the ground is , equate given function to zero.

            [tex]f(x)=-16x^2+100x+5=0\\\\-16x^2+100x+5=0\\\\x=\frac{-100\pm\sqrt{(100)^{2}+4*16*5 } }{-16*2} \\\\x=\frac{-100\pm101.587 } {-32} \\\\x=6.299,x=-0.049[/tex]

Since, time can not be negative.

So that we will consider , [tex]x=6.299 s[/tex]

Hence, the time taken by potato to hit the ground is [tex]6.299[/tex] seconds.

Learn more:

https://brainly.com/question/1214333

Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he
buys 7.5 pounds of steak, how much money does he spend?

Answers

Answer:

he would spend $69.26

Step-by-step explanation:

you would multiply the amount of steak he wants to by, times the amount the steak costs. so 9.62x7.5=69.26

What is the slope of a line that contains the points (-12, -1) and (-3, -4)?

Answers

Answer:

-1/3

Step-by-step explanation:

y2-y1 over x2-x1

or you can do rise over run so count up or down and count how many units the the right it goes to find slope.

So

-4 - (-1)

______

-3 - (-12)

If you plug the numbers in

so you get

-4 + 1

______

-3 + 12

and you solve

-3

_____

9

-1

___

3

i tink u no how to solve now

yay

gg

hope this helps!

what is the slope of a line that has a y-intercept but no x intercept

Answers

Answer:

The slope of a line that has a y-intercept but no x-intercept will be zero.

Step-by-step explanation:

If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis.

If a line does not have an x-intercept, it means it would never intersect the x-axis.

Thus, it must be parallel to the x-axis, meaning its slope will be zero. It would be just a horizontal line.

For example, y=9 is the line equation that does not have an x-intercept and its slope is zero.

Therefore, the slope of a line that has a y-intercept but no x-intercept will be zero.

14) y = x – 4
4
A) 1
B)
3
C)
D) -1
3

Answers

Answer:

the answer is a

Step-by-step explanation:

uno dos tres cuatro cinco ​

Answers

Answer: uno dos tres cuatro cinco seis siete ocho nueve diez once doce

Answer:

yes

Step-by-step explanation:

2\3x20

20 points thx

Answers

Answer:

13.3333333333

Step-by-step explanation:

hope this helps

Answer: I got 13.33333333

Step-by-step explanation:

I

The two reproduction cells are eggs and sperm
True
False

Answers

Answer:

True

Step-by-step explanation:

This is a part of both female/ male. The male has sperm when released, and the female produces a egg which lead to reproduction.

Answer:

true

Step-by-step explanation:

The reason is that when the male and female have sex the male releases sperm into the female the sperm goes to the female egg then she gets pregnet a couple of days later. Therefore that equals reproduction.

At sea level, a kilogram weighs approximately:

1 pound
10 pounds
2 pounds
5 pounds


I think their maybe more answers than just one, I'm not sure though.

Answers

Answer:

the answer's is 1 pound

Answer:

2 pounds

Step-by-step explanation:

Hope this helps :)

Use the substitution method to solve the system of equations. Enter your
answer as an ordered pair.
y = 3x-4
X = 9

Answers

Answer: 9,24

Step-by-step explanation:

y = 3 (9) - 4

y = 27 - 4

y = 23

x = 9

9, 23

9, 24 to 9,23 the other dude is right

PLEASE HELP HEHE!!

In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and scooter? Round answer to nearest tenth and include percent sign.

Answers

Answer:

demos los fdeoms

Step-by-step explanation:

14

Philip has $2,000 and spends $23.75 on supplies. He divides the remaining amount equally among his 8 employees. How much does each employee receive?

A.
$247.03
B.
$250.00
C.
$252.96
Reset Next

Answers

Answer:

A

Step-by-step explanation:

Ellis’s backyard has a 6.25 by 6.25 m patio

Answers

Answer:

A=39.0625m²

Step-by-step explanation:

A=S²

A=6.25x6.25

A=39.0625m²

which Pokémon if that ​

Answers

Answer:

imma call it leaf lol im not good with Pokémon

Answer:

Charmander

Step-by-step explanation:

There are 120 students and 5 teachers. What is the student to teacher ratio in
simplest form?

Answers

Answer: 24:1

Step-by-step explanation:

120/5=24

There are 24 students per 1 teacher

Answer:

1 teacher to 24 students

Step-by-step explanation:

If you divide 120 by 5 you get 24.

The simplest a number can get is 1, so 1:24.


Select all the graphs showing relations that are also functions.
Graph A
Graph B
Graph
VA
2
Graph D
Graph E
Graph F
Submit
DOLL

Answers

Answer:

Graph E, B, and D all show relations and are functions

Step-by-step explanation:

Graphs E, B, as well as D all represent functions and relations, respectively. A function in mathematics from such a set X to either a set Y allocates exactly 1 element of Y to every element of X.

What is mathematical function?

A function in mathematics from such a set X to either a set Y allocates exactly 1 element of Y to every element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A planet's position, for instance, depends on time. In the past, the idea was developed with both the infinitesimal calculus toward the conclusion of the seventeenth century, and the functions that were taken into consideration were differentiable until the 19th century. Graphs E, B, as well as D all represent functions and relations, respectively.

Therefore, graphs E, B, as well as D all represent functions and relations, respectively.

To know more about mathematical function, here:

https://brainly.com/question/30594198

#SPJ7

Answer or u will fail ur next FSA

Answers

Answer:

I can't see the picture

Step-by-step explanation:

What is 13140 divided by 12 ?

Answers

Answer:

1095

Step-by-step explanation:

Answer:

1,095

Step-by-step explanation:

I used the calculator on my computer and made sure its correct by doing the proper math for it. Enjoy <3

What is the definition of a traditional, market, command, and mixed economy? Provide examples of each economy (tell me who would produce, how to produce, and for whom to produce).

Answers

Answer:

Step-by-step explanation:

°F

Write the numbers in the domain with commas between them (for example, {1, 2, 3}

Answers

Answer:

{-5, -1, 2}

Step-by-step explanation:

domain is the inputs or x numbers

List the first 5 Multipluls of 12

Answers

Answer:12,24,32 44,56

Step-by-step explanation:

Answer:

12,24,36,48,60

Step-by-step explanation:

are the answers I double checked with google

What is the answer to -0.8x+40-8x-35

Answers

Answer:

75

Step-by-step explanation:

Answer:

25/44

Step-by-step explanation:

-0.8x+40-8x-35

-8.8x+5

-8.8x=-5

Minus sign cancel on both side

X=5/8.8

X=50/88

X=25/44

So value of x is 25/44

Which graph represents the function?

f(x)=2x√+1

Answers

Using translation concepts, it is found that the fourth graph(right graph of the bottom row) represents the function f(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is [tex]f(x) = \sqrt{x}[/tex], which has vertex at the origin.

The translated function in this problem is [tex]f(x) = 2\sqrt{x + 1}[/tex], which was vertically strecthed by a factor of 2 units(which does not change the vertex), and shifted left 1 unit, which means that the vertex is now at (0,-1).

Hence, the fourth graph(right graph of the bottom row) represents the function f(x).

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:

You wrote the question wrong
but if you are asking: f(x)=2√x+1
your answer will be the 4th Graph (on this example)

Step-by-step explanation:

<3

The engines of a plane are pushing it due west at a rate of 250 mph and the wind is blowing from the southwest at a rate of 25 mph. find the direction of the plane​

Answers

Answer:

84.26° in the south west direction.

Step-by-step explanation:

I've attached an image showing the triangle formed by the motion of the plane and the wind.

I've depicted the plane being pushed west and the wind moving south west.

Thus, the direction of motion of the plane will be angle θ.

Using trigonometric ratios;

25/250 = cos θ

cos θ = 0.1

θ = cos^(-1) 0.1

θ = 84.26°

Thus will be in the south west direction.

Estimate the quotient for the following problems.
a. 608/23
=____\_____
=_____

Answers

Answer:

Step-by-step explanation:

26.43

(26)

Sarah buys a car originally priced at $25,000 at a discount rate of 1/5 off the original price. How much does Sarah pay for the car after the discount?

Answers

Answer:

20,000 dolllars

Step-by-step explanation:

i think

Calculate the unit rate. Round to the nearest hundredth (cent).

A box of 20 trash bags costs $3.63.

Answers

Answer:

20 / 3.63 = 5.50

Step-by-step explanation:

Idk the answer to this

Answers

It’s 4(5). That’s the answer

Answer:

1. 4 x 10^5

2. -2 x 10^4

hope this helps :)

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