Mathematics High School


Rewrite each explicit formula in the form of a function.
Part A
an= 19 - 7(n-1)
f(n) =
Part B
an= 1.5 +4.2 (n - 1)
f (n) =

Answers

Answer 1

Answer:

[tex]f(n) = 26- 7n[/tex] --- (a)

[tex]f(n) = 5.7- 4.2n[/tex] ---- (b)

Step-by-step explanation:

Given

[tex]a_n = 19 - 7(n-1)[/tex]

[tex]a_n = 1.5 - 4.2(n-1)[/tex]

Required

Rewrite as a function

[tex]a_n = 19 - 7(n-1)[/tex]

Rewrite

[tex]f(n) = 19 - 7(n-1)[/tex]

Open bracket

[tex]f(n) = 19 - 7n+7[/tex]

Collect Like Terms

[tex]f(n) = 19 +7- 7n[/tex]

[tex]f(n) = 26- 7n[/tex]

[tex]a_n = 1.5 - 4.2(n-1)[/tex]

Rewrite

[tex]f(n) = 1.5 - 4.2(n-1)[/tex]

Open bracket

[tex]f(n) = 1.5 - 4.2n+4.2[/tex]

Collect Like Terms

[tex]f(n) = 1.5 +4.2- 4.2n[/tex]

[tex]f(n) = 5.7- 4.2n[/tex]

Related Questions

Two sides of a triangle have lengths 7 and 13.

The third side has a length that is

Answers

Answer:

19?

Step-by-step explanation:

Some number is equal to 1/3 of the sum of 83, -27.2, and 73. What is the number?

Answers

i think the answer is 80.13

Which line is parallel to the line given y=- 4/3x+1

Answers

Answer:

Any other line with this slope (-4/3)

Step-by-step explanation:

A quick look at y= (-4/3)x + 1 tells us immediately the slope of the given line is (-4/3).  Any other line with this slope (-4/3) is parallel to y= (-4/3)x + 1.  Next time, please share the answer choices.  Thank you.

Identify an equation in point-slope form for the line parallel to y =-2/3x+8 that
passes through (4,-5).

Answers

first find the slope (which is -2/3)

then plug into point-slope formula using the coordinates. if you dont remember point-slope is “y-y1 = m (x-x1) where y1 being the y of the coordinate while x1 being the x of the coordinate and m being the slope.

plug it in to get “y+5 = -2/3 (x-4)

that’s the point-slope form

Katy bought a $76 dress at 33% off and a $52 pair of shoes at 15% off. If
sales tax is 6.75% how much did she pay in total?

Answers

Answer:

101.54

Step-by-step explanation:

Answer:

$103.21

Step-by-step explanation:

33% of 76=$25.08 then 76-25.08=$50.92

12% of 52=$6.24 then 52-6.24=$45.76

50.92+45.76=$96.68

6.75% of 96.68=$6.525-->$6.53

96.68+6.53=($103.21)

A.4. B.-4. C.1/4. D-1/4

Answers

A or B think it's A tho not sure

Answer:

B. -4

Step-by-step explanation:

The slope is -8/2 which is the same as -4.

Another way you could do it is down 4 and right 1. That would be -4/1 which is the same as -4.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

I need help some help please

Answers

Answer:

1. no, 2. yes

Step-by-step explanation:

You need to use the triangular inequality thereom, which goes by if any side lengths are added together, they are greater than the remaining one. So, for number one, although 20+9=29>8 and 20+8=28>9, 9+8<20 since 9+8=17, which is less than 20. For number two, yes because 1) it is a right triangle triple and 2) 3+4=7>5, 4+5=9>3, and 5+3=8>4.

Answer:

Number 1 is Not a triangle so No and you don’t need to classify becuase it’s not aa triangle

Number 2 is a triangle becuase its ta Pythagorean triplet and even if you checK, it adds up.

Step-by-step explanation:

1) So using Pythagorean Theorem

8^2+9^2=20^2

64+91=400

That is not true

2) 3^2+4^2=5^2

9+16=25

That is true  

Find the slope of the line going through the points (0, -7) and (8, 1).

Answers

Answer:

8,1

Step-by-step explanation:

maybe i think this will help you

If a car travels 400 m over 80 seconds, how fast is the car traveling?

Answers

300 meters per minute: 3600 meters per hour

YW BRAINLIEST PLEASE

A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches, approximately how many inches of string will the student need?

Answers

Answer:

3.8 inches

Step-by-step explanation:

Divide 24 by 3.14 (Pi) then divide that number by 2

The number of inches of string that the student needs will be 3.82 inches,

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the circumference of the circle will be

C = 2πr units

A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches. Then the radius of the circle is given as,

24 = 2πr

r = 24 / 2π

r = 3.82 inches

The number of inches of string that the student needs will be 3.82 inches,

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ2

246.8 is what percent of 128? Round to the nearest thousandth.

Answers

Answer:

60%

Step-by-step explanation:

Answer:

Most 193%

Step-by-step explanation:

246.8/128= 1.928

Factor 15x + 35 using the GCF

Answers

Answer:

Step-by-step explanation:

find all of tehe factors to both numbers

15x = 5 3 x

35 = 5 7

pull 5 out of both of them and put the remaining factors in parentheses

5(3x + 7)

Enter an inequality that represents the description, and then solve.
Dave has $11 to spend on an $8 book and two birthday cards (c) for his friends. How much can he spend
on each card if he buys the same card for each friend?

Answers

Answer:

$6

Step-by-step explanation:

x – 7y = –11
5x + 2y = -18

Answers

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

------------------------------------------------------------------------------------------------------------

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept

b. Find the coordinates of the x-intercepts

c. Find the coordinates of the vertex

d. Use the above information to sketch a graph of f(x)

Answers

a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

c)

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

16:20

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For the system, what is the y-value? 1x + 3y = 10 -x + 8y = 4

​

Answers

y =− 11/2≈−0.181818182 is that what your looking for

Solve for x: 7(9 + x) = 84
x= 3
x= 21
x=16
x=64

PLEASE HURRY WILL GIVE BRAINLIEST!!!

Answers

Answer:

my answer is 2 . 3 I think

Melinda's family drove 378 miles in 9 hours. What was the average speed for the trip?

Answers

Answer: 42 MPH

I hope this helps, and Happy Holidays! :)

Answer:

Step-by-step explanation:

if Melinda's family drove 378 miles in 9 hours, her average speed is

378/9=42 miles per hour

HELP ME PLEASEEEE ITS FOR geometry ITS WORTH 51 POINTS

Answers

Answer:

answer is b

Step-by-step explanation:

The answer is A. 80 degrees

Which function has a domain of all real numbers?
A. y = -2(3x)^1/6
B. y = (x +2)1/4
C.y = (2x)^1/3-7
D.y= -x^1/2+5

Answers

Answer:

c - (2x)^1/3-7

Step-by-step explanation:

plato

The function  [tex]y= -x^{1/2}+5[/tex] has a domain of all real numbers.

Thus, option (D) is correct.

As, Domain is the input value of the function.

In the function [tex]y= -x^{1/2}+5[/tex] .

The square root is defined for all non-negative real numbers (including zero).

When we subtract this square root from 5, the resulting function has a domain of all real numbers.

In options A, B, and C, which involve fractional exponents or roots, option D does not have any restrictions on the values of x.

The function can be evaluated for any real number x, making its domain all real numbers.

Therefore, [tex]y= -x^{1/2}+5[/tex] , has a domain of all real numbers.

Learn more about Domain of function here:

https://brainly.com/question/13113489

#SPJ4

Solve for x.

3/5x + 1/4 = 7/20x - 4

Answers

Answer: 3/5x + 1/4 = 7/20x - 4

Step-by-step explanation:

please help!!! ASAP

Answers

Answer:D

Step-by-step explanation:

It's on a computer

Answer:

simulation

Step-by-step explanation:

im in 8th grade

What is the distance between the points (-2, 4) and (7, -5)?

Answers

i believe it would be (-9,9) but i’m not sure. i got this answer because
-2-7 = -9
4(-5) = 9
hope this helps! feel free to mark brainliest:)

$12,000 at 2.2% for 5 years.
what’s the interest?

Answers

Answer:

264.

Step-by-step explanation:

12,000X2.2%=264.

− 7 / 12 + 3 / 8 thanks

Answers

Answer:

-5/24

Step-by-step explanation:

Simplify the denominators

-14/24 + 9/24

Add them but keep the denominator

-5/24

Answer:

-840

Step-by-step explanation:

12+3=15

-7*15=-105

-105*8=-840

Graph the equation y = 2x-3

Answers

Answer:

Step-by-step explanation:

What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16

Answers

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

did you know that Geico can help u save 15 % or more on car insurance??
¯\_(ツ)_/¯

Answers

Answer:

I don't have a car T-T

Step-by-step explanation:


4. Emilio asks his classmates what month they were born. He finds that 15
out of 125 classmates were born in July. If there are 1,280 students in
Emilio's school, how many students can he expect to have birthdays in July
based on the experimental probability?
Ok

Answers

Answer:153

Step-by-step explanation:

From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.

If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:

= 3/25 × 1280

= 153.6

There will be 153 students expected

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