Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤

Answers

Answer 1
f(x) = 50x + 20
y= 50x + 20
120 = 50(2) + 20
0 <(or equal to) x <(or equal to) 2
Answer 2

their distance from home as a function of time

[tex]f(x)=50x+20[/tex]

The reasonable domain for this situation is

[tex]0\leq x\leq 2[/tex]

Given :

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h.

Given driving speed is 50 miles per hour

They already travelled 20 miles. We need to frame linear equation because we are given with constant rate.

Linear equation is [tex]f(x)=mx+b[/tex]

where m is the constant rate and b is the initial miles travelled

m=50 and b=20

the function f(x) is the distance from home

[tex]f(x)= 50x+20[/tex]

Now we find out the domain x. Given that they travelled 120 miles

so f(x) is 120

[tex]120=50x+20\\120-20=50x\\100=5x\\x=2[/tex]

Domain is the number of hours travelled

hours cannot be negative . So the domain x for this situation is

[tex]0\leq x\leq 2[/tex]

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Related Questions

You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60

Answers

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

please help omg i have a 15 percent in math for my overall grade and i also have bad grades in spanish and ELA but please please just help me if i could get someone’s snap or idk so i could send u photos of my work that would literally be great i also have to get my grade up BY THIS MONDAY HELP

Answers

Answer:If you’re doing edge I can give you tips.

Step-by-step explanation:

Answer:

what do u need help with

Step-by-step explanation:

calm down! its gonna be all good

PLEASE HELP ME ASAP! ILL GIVE YOU BRAINLEST!

Answers

Answer:

13/99

Step-by-step explanation:

First convert the expression, turn 13 into 13/1: 13/1 × 1/99

Next you multiply: 13/1 × 1/99 = 13/99

Greg earns a salary of $300 per week plus an additional
6% commission on his sales. If his weekly salary
increases by $50 and his commission increases to 7%
how much will Greg earn if his weekly sales are
$4,000?

Answers

Given :

Greg earns a salary of $300 per week plus an additional  6% commission on his sales.

To Find :

If his weekly salary  increases by $50 and his commission increases to 7%  how much will Greg earn if his weekly sales are  $4,000.

Solution :

New weekly salary, S = $( 300 + 50 ) = $350 .

New commission on $4000 sales :

[tex]C=\dfrac{4000\times 7}{100}= \$280[/tex] .

Therefore, total earning T = S + C = $( 350 + 280 ) = $630 .

Hence, this is the required solution.

You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?


I need help doing this without distribution please help ASAP

Answers

Answer:

$2.69

Step-by-step explanation:

here is with distribution...

1. add all the original prices together

2.50+4.95+6.00=13.45

2. multiply that sum(13.45) by 0.2(0.2 IS THE 20% OFF)

13.45x0.2=2.69

FINAL ANSWER: $2.69

Simplify the expression

Answers

Answer:

          f(x) = 5x² + 2x           g(x) = 6x - 6

Step-by-step explanation:

[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]

Please work this out or I get a detention

Answers

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

A= 11 and 6 is 2 this is the coree answer

A sticker has a length of 4 inches. If Gary places the stickers end to end, how many can he fit on a banner that is 12 feet long? ( 1 foot = 12 inches ) explain why thank you!!!!

A) 144
B) 38
C) 36
D) 42

Answers

Answer:

Step-by-step explanation:

12 feet *12 inches per foot= 144 inches

144/4=36 stickers

C
This is because first you would find out how many stickers are in ONE foot. in one foot there are 3 stickers. Since we know this we then see that the banner is 12 feet long. you would do 3x12 which would end up giving you 36. Hope this helped!

A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers

On tuesday how much did they sell

Answers

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

so

591-y = y-59

-2y = -650

y = 325

so

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

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which of the following is the solution to the equation ​

Answers

17-

Dish is not a great deal but it is a great way of getting the right next round to get the rest of the meal to go to a table and brown rice SIKE

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Skylar owns a small business selling bagels. She knows that in the last week 80 customers paid cash, 7 customers used a debit card, and 42 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

Answer:

The probability that the next customer will pay with credit card is approximately 0.33

Step-by-step explanation:

The given parameters are;

The number of customers that paid cash = 80 customers

The number of customers that used a debit card = 7 customers

The number of customers that used a credit card = 42 customers

The total number of different payments made = 80 + 7 + 42 = 129 payment

Probability = The number of desired outcome/(The number of possible outcome)

The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)

∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.

sup help me plz owo owo

Answers

Answer:8x^2-4x-5

Step-by-step explanation:just subtract

Answer:

I got 8x^2-4x-5 but I'm not super sure

Step-by-step explanation:

Find the x and y intercept of the following equation. 10x - 3y = 9​

Answers

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

Can someone plz help really quickly!? Thank you! Marking brainlyest to to the first and correct answer!! Worth a lot of points to!!

Answers

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

PLZ HELP!
What is the domain and range for the function graphed to
the left?

Answers

Answer:

Domain: (-∞, ∞)

Range: (-∞, -3]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.

We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.

Step-by-step explanation: The range of a function

is the set of all y values of the function.

The y values on a coordinate system are the up and down values.

Our parabola is expanding infinitely downwards but

it never goes above the y value of -3.

So we say that the range of this function is {y: y ≤ -3}.

The domain is the set of all x values or left and right values.

Since it's expanding infinitely to the left and right,

we say that the domain is the set of all real numbers or R.

(3-21)-(7+6) =
subtract complex numbers

Answers

Answer:

(3-21)-(7+6) = -31

Step-by-step explanation:

3-21 = -18 - 13= -31

The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the rate table to solve the proportion.

StartFraction 6 over 9.75 EndFraction = StartFraction 24 over c EndFraction

It would cost $ to serve 24 people.

Answers

Answer:

$39

Step-by-step explanation:

Given parameters:

Cost of ingredient  = $9.75

Number of people  = 6 people

Unknown:

How much will it cost to serve 24 people  = ?

Solution:

To solve this problem, let us find the rate of each recipe per person;

 Rate  = [tex]\frac{Number of people }{Cost of ingredient}[/tex]

Insert parameters and solve;

 Rate = [tex]\frac{6}{9.75}[/tex]   = 0.62people/$

For 24 people, it will cost;

  Cost of ingredient  = [tex]\frac{Number of people }{rate}[/tex]  

 Cost of ingredient  = [tex]\frac{24}{0.62}[/tex]   = $39

Answer:

39

Step-by-step explanation:

edu asinment 100 % no flex

Find each missing angle measure.
m<1
m<2
m<3
m<4
m<5

Answers

try using brainly its free on the app store for android and IOS its literally has the answers to everything

Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4

Answers

Answer:

653

Step-by-step explanation:

Which graph displays a directly proportional relationship?

Answers

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

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Which of the suns below can be expressed as 6(3+9)

Answers

Answer: the answer is 72

Step-by-step explanation: add 3+9 in the parenthesis. 3+9=12Then multiply 12 and 6 which is 72

Is this function linear or nonlinear?​

Answers

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.​

Answers

See attachment for math work and answer.

2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65

Answers

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help

Answers

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

Answers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Which function is graphed below?

Answers

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

PLEASE ANSWER QUICKLY
Find the value of f(-142) for the function below.

f(x) = -0.2(x + 223)

A.
251.4
B.
-186.6
C.
81
D.
-16.2

Answers

it’s D , -16.2
you replace X with -142 and get -0.2 (142 + 223)

Please help! I am struggling to understand this!

Answers

Answer:

x = 56°

Step-by-step explanation:

cos(x) = adjacent/hypotenuse

cos(x) = 5/9

      x  = [tex]cos^{-1}[/tex](5/9)

      x  = 56.25°

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