Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.

function notation in slope-intercept form: f(x) = ________
reasonable domain: ≤ x ≤

Answers

Answer 1

Answer:  The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain:  0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20  This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out.  f(x) = 50t  

20 = 50(.4)  At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4)  The whole trip took 2.4 hours.


Related Questions

P(x) = 2(x + 6)(x+3)(x - 5)
Rewrite polynomial P(x) in standard form.

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Answer:

skkrtt skkrttt

Step-by-step explanation:

Number 1 please ITS URGENT HELP PLSPLS

Answers

Answer:

The area of B is 8 cm²

Step-by-step explanation:

From the diagram, we can tell that the scale factor is 2 because the length of A is 6 cm and the length of B is 12 cm so the scale factor is 2. Since diagram A's area is 4 cm², all we need to do is multiply the diagram A's area by 2. That gives diagram B's area which is 8 cm²

how many solutions does this equation have?
7(2+5x)=3x+14

Answers

Answer:

none

Step-by-step explanation:

If you use the distributive property, you get 14 + 35x = 3x + 14. Then, subtract 3x from both sides to get 14+32x=14. Subtract 14 from both sides to get 32x= 0. These aren't equivalent, so there are no real solutions. Hope this helps!

The equation has only one solution which is equal to 0

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given: The system of linear equations as 7(2+5x)=3x+14

simplifying the equation we get

7(2+5x)=3x+14

14+35x=3x+14

32x=0

x=0

Hence, The equation has only one solution which is equal to 0

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ2

I am going to keep this simple and I am going to help people out who need points. What is 4 x 9?

Answers

Answer:

36

Step-by-step explanation:

Gi dont understand how to find Which ordered pair is a solution of the equation? y=8x+3

Answers

Answer:

(1, 11 ) is a solution

Step-by-step explanation:

To obtain a solution, choose any value of x, substitute into the equation and evaluate for y, that is

choose x = 1, then

y = 8(1) + 3 = 8 + 3 = 11

Thus (1, 11 ) is a solution

choose x = - 2 , then

y = 8(- 2) + 3 = - 16 + 3 = - 13

Thus (- 2, - 13 ) is also a solution

Lets go over the solutions.

Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.

Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.

Hence, our two solutions are:

Both [tex](1, 11)[/tex] and [tex](-1, -5)[/tex].

Hope this helps!

Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represented by . The tiles represent an unknown number.
Whoever can the question in 1 minute i will vote them BRAINLIest

Answers

Answer:

1.one orange x tile 2.three blue-tiles 3.subtracting three from

Step-by-step explanation:

I got it right have a nice day :)

Help...................

Answers

Answer:

The first one is 3/1 or 3 and the second is 3 1/2.

Step-by-step explanation:

can someone help me with this

Answers

Answer:

A, B, C

Step-by-step explanation:

just put it into the formula a^2+b^2=c^2

a) 12^2+16^2

= 144+256

= 400 = 20^2

b) 4.5^2+6^2

= 20.25+36

= 56.25 = 7.5^2

c) 5^2+12^2

= 25+144

= 169 = 13^2

The next two dont match

CAN SOMEONE HELP WOTH THISPLS RIGHT ANSWER GETS BRAINLIEST Q4

Answers

Answer: yes

Step-by-step explanation:

Answer:

a. no

b. yes

not sure about the rest though

Wha is 3x+3y=-9 in standard to slope intercept form simplified, thank you!

Answers

Answer

Step-by-step explanation:

The answer would be y=-x-3. 3x+3y=-9 is in standard form and you want it to be in y=mx=b form (slope-int) so subtract 3x by both sides. Now, you have 3y=-3x-9. Divide 3 to both sides, now you will get y=-x-3.

can you plz help me with this 2.25f+5=13.5f+14​

Answers

Answer:

F=10

Step-by-step explanation:

Add 13.5 and 14 to get 27.5.

2.25f+5=27.5

Subtract 5 from both sides.

2.25f=27.5−5

Subtract 5 from 27.5 to get 22.5.

2.25f=22.5

Divide both sides by 2.25.

f=  

2.25

22.5

​  

 

Expand  

2.25

22.5

​  

=10 by multiplying both numerator and the denominator by 100.

f=  

225

2250

​  

 

Divide 2250 by 225 to get 10.

f=10

TRY TO ANSWER THIS FAST

Answers

Answer:

3/4(8-5y)

Step-by-step explanation:

Just like the first one

What is the number a solution of 6x-3>10?

Answers

Answer:

x > 1.167 (rounded to the nearest thousandth)

Step-by-step explanation:

Original Equation:

6x - 3 > 10

Add 3 to both sides

6x > 7

Divide both sides by 6

x > 1.1666666. . .

x > 1.167 (rounded to the nearest thousandth)

Hope I helped :)

Please consider Brainliest :)

If a system of equations has one solution, what does the graph look like?
O parallel lines
O intersecting lines
O skew lines
O the same line

Answers

I would pick the “D” the same line

Juan is saving money to buy a game. So far he has saved ,$12 which is three-fourths of the total cost of the game. How much does the game cost?

Answers

─── ∙ ~εïз~ ∙ ───
answer: 16

how? 100/4 = 25
3/4 = 0.75 because 25 x 3 = 0.75
0.75x = 12
12/0.75 = 16

Answer:

$16 :)

Step-by-step explanation:

what is the slope of (4, -4) and (-12, 4)

Answers

Answer:

The slope would be -1/2.

1. The line through A and B has a slope = _____ and y-intercept = _____

2. Write an equation for this line. ________​

Answers

Answer:

1. slope= 1/2; y intercept=3

2. y= 1/2x+3

Step-by-step explanation:

The slope is equal to the y value of b minus the y value of a OVER the x value of b minus the x value of b. This simplifies to 1/2.

If the slope is 1/2, you can see that for every 1 that the line rises, its x value increases by 2. Since you know the when the x value is 2, the y value is 4, decreasing the x value by 2 (making it 0) would make the y value 3.

name the following line 6 different ways

Answers

There no line ............

Answer:

what line??

Step-by-step explanation:

what is the slope of the line in the graph?

Answers

Answer:

It is one. I believe, sorry if i'm wrong.

Step-by-step explanation:

Answer:

y= x +1

Step-by-step explanation:

You could use the slope formula y2-y1/x2-x1, what I did was I took the og equation y=x and I noticed it was vertically shifted by 1. Thus, y=x+1

prove the two triangles are similar
use photo for details​

Answers

Answer:

the sides are congruent.

In response to a gss question in 2006 about the number of hours spent per day watching television, the responses by the fifteen subjects who identified themselves as Buddhist were 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, and 5. For these fifteen subjects, the mean number of hours spent per day watching television is 1.93 hours. What is the standard error of this mean estimate?

Answers

Answer:

Standard error = 0.4

Step-by-step explanation:

Step 1

We find the Standard Deviation

The formula = √(x - mean)/n - 1

n = 15

Mean = 1.93 hours

= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1

= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1

= √2.352380952

= 1.533747356

Step 2

We find the standard error

The formula = Standard Deviation/√n

Standard deviation = 1.533747356

n = 15

= 1.533747356/√15

= 1.533747356 /3.87298334621

= 0.39601186447

Approximately = 0.4

Therefore, the standard error is 0.4

4x+13x=119 what does x=?
x=7

Answers

Answer:

x = 7

Step-by-step explanation:

Given

4x + 13x = 119 ( collect like terms on left side )

17x = 119 ( divide both sides by 17 )

x = 7

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+13x=119

Step 1: Simplify both sides of the equation.

4x+13x=119

(4x+13x)=119(Combine Like Terms)

17x=119

17x=119

Step 2: Divide both sides by 17.

17x

17

=

119

17

x=7

Answer:

x=7

Isaiah is a college student who rents an apartment that costs $755 a month. Each month, Isaiah receives $250 from his parents and $225 from a scholarship to help pay for the rent. Isaiah works at Ringling Telemarketing Company, making $10 an hour. Which of the following inequalities can be used to determine the number of hours, x, that Isaiah must work to pay his rent each month?
1.)10x-475≤755
2.)475x+10≥755
3.)10x+475≥755
4.)10x+475≤755

Answers

Answer: 3

10x+475≥755

Answer:

the 3rd one

Step-by-step

i think its right, i hope :)

Can anyone tell me how to break apart the following number: 6359​

Answers

Answer:

6000 + 300+ 50 +9

Step-by-step explanation:

Start by focusing on the thousands place. Then switch to hundreds then to tens and finally to ones place.

Determine whether AB and CÓ are parallel, perpendicular or neither.
A=(-2,-1) B=(4, 1)
C=(-2,3)
D= (0, - 2)

Answers

Answer:

Neither

Step-by-step explanation:

They do not form a 90° angle(so it's not perpendicular)

And they touch(so it's not a parallel)

What is the distance between points A and E?
A. 2.8
B. 3.2
C. 4.9
D. 5.7

Answers

Answer:

D. 5.7

Step-by-step explanation:

due to its reflection

Answer:

D

Step-by-step explanation:

A(3, 4)   ;     B(-1 , 0)

Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              = [tex]\sqrt{(-1-3)^{2}+(4-0)^{2}}\\\\=\sqrt{(-4)^{2}+(4)^{2}}\\\\=\sqrt{16+16}\\\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}=4\sqrt{2}[/tex]

                = 4 * 1.4142

               = 5.6568

               = 5.7      

The average age of 3girls is 17years 4months.The average 2 of them is 17years 3months. How old is the third girl?​

Answers

Answer:

17 years 2months

Step-by-step explanation:

Beacause the last girl is young

What is the slope of a line that is perpendicular to the line y=-1/3x-6
OA. 3
OB. 1/3
OC. -1/3
O D. 3​

Answers

Answer:

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

If 6 pounds of blueberries costs $16.50, is $1 for 2.75 pounds of blueberries true?

Answers

Step-by-step explanation:

Hmm I'm not sure but (no) I think

6 pounds = $16.50

1 pound = $16.50 ÷ 6

=$2.75

$16.50 = 6 pounds

$1 = 6 ÷ $16.50 = 4/11 pounds (0.36363636......)

HHHHHEEEELPPPPP NOW Steve is buying apples for the fifth grade. Each bag holds 13 apples. If there are 77 students total, how many bags of apples will Steve need to buy if he wants to give one apple to each student?

Steve will need to buy
_____ bags.

Answers

Steve will need to buy 6 bags

Answer:

6

Step-by-step explanation:

eactly it 5.923076923076923

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