Use the information to answer the following question.

A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.



What is the domain of the function?

A.
0 ≤ y ≤ 45

B.
0 ≤ x ≤ 5

C.
0 ≤ y ≤ 5

D.
0 ≤ x ≤ 45

Answers

Answer 1

9514 1404 393

Answer:

  B.  0 ≤ x ≤ 5

Step-by-step explanation:

The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...

 0 ≤ x ≤ 5


Related Questions

7) How far away from a 340 foot redwood tree would you need to stand, if the angle of elevation to the top of the tree is 550? Round your answer to the nearest foot.

Answers

Answer:

The required distance away from the foot of the tree is 238.0 feet.

Step-by-step explanation:

The height of the redwood tree = 340 feet, and the angle of elevation to its top = [tex]55^{o}[/tex].

let the required distance be represented by x, applying the appropriate trigonometry function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]55^{o}[/tex] = [tex]\frac{340}{x}[/tex]

⇒ x = [tex]\frac{340}{Tan 55^{o} }[/tex]

      = [tex]\frac{340}{1.4282}[/tex]

      = 238.062

x = 238.0 feet

The required distance away from the foot of the tree is 238.0 feet.

Which ordered pairs are solutions to the inequality y - 3x < -8?
Select each correct answer.
(1, -5)
(-3, - 2)
(0, -9)
(2, -1)
(5, 4)​​​

Answers

Answer:

Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

geometric of
1/3, 2/9, 4/27, 8/81, 16/243

Answers

a The answer is
n
=
2
n

1
3
n

Which answer is equivalent to the following expression:

42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6

Answers

Answer:

D

Step-by-step explanation:

42 dived by -7 is -6, D

find the root of the equation

x^2=255

Answers

Answer:

15

Step-by-step explanation:

15^2=225

Answer:15

15^2=255 the other person was correct and i back that up

y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

the answer is both

Step-by-step explanation:

just do It I checked

Answer:

the answer is C, both are correct

Step-by-step explanation:

What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:

n= 17

Step-by-step explanation:

17×25 = 425

425×4= 1700

25×4=100

1700÷100= 17

Answers

Answer:

Step-by-step explanation:

(17×25)×4=n×(25×4)

or 17×(25×4)=n×(25×4)  

17=n

∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]

Answer asap I'll vote brainllest I need help!

Answers

Answer:

I would agree with Mai

Step-by-step explanation:

triangle A is touching actual points while triangle B is in the middle.

Hope this helps :D

100 percent as a fraction in simplest form.

Answers

Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

Answer:

Step-by-step explanation

1/10 would be the answer

As a fraction it would be 1/100 but simplified it will be 1/10

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)

Answers

The correct option is option C i.e., (1,3).

It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We have to check which ordered pair from given options is correct.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

A circle has the points ;

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We know that ;

A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.

Also ;

The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.

Now ; check for relation.

Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.

So;

The correct option is C.

Thus , the correct option is option C i.e., (1,3).

To learn more about ordered pairs click here ;

https://brainly.com/question/13166732

#SPJ2

Answer:

C (1, 3)

Step-by-step explanation:

edge 2023

Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0

Answers

A. 15.07 you’re welcome!

Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0

Answers

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

Carly is ordering candles online.

Answers

Answer:

Is that the whole question or....

ANSWER ASAP ! NEED ANSWERS

Answers

Answer:

B.

Step-by-step explanation:

The midpoint is at y=1

Hi, could any one explain how to find the amount of prime numbers between numbers?

Answers

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.​

Answers

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(

Answers

Divide both sides of the equation by the same term
5
=
2

5
=
2
M
5=2M
5
2
=
2

2
5
2
=
2
M
2
25​=22M​


5=2

When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest

Answers

Maybe 6+4x??? Not sure though

If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.

The function, f(x), models the total number of dolls in her collection after x number of years is,

f(x) =6+4x.

Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

3/4 subtracted from a number, and then 5 1/4 was added to the result The sum was -7. What was the original number?

Answers

Tha answer to this is -11.5

Which of the following numbers can be expressed as a decimal that terminates? (5 points)

3 over 2 , 2 over 3 , 3 over 4 , 5 over 7
3 over 2 and 2 over 3
3 over 4 and 5 over 7
3 over 2 and 3 over 4
2 over 3 and 5 over 7

Answers

Answer:

3 over 2 = 1.5

3 over 4 = 0.75

3 over 2 and 3 over 4 = 2.25

Step-by-step explanation:

Answer:

3 over 2 and 3 over 4

Step-by-step explanation:

that it

15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles

Answers

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Does the equation: -x + 6y = -7 represent direct variation?

Answers

Answer:

The equation -x + 6y = -7 does not represent direct variation.

Step-by-step explanation:

The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m x

Let us solve the question

∵ The equation is -x + 6y = -7

→ Substitute x by 0 to find the value of y-intercept

x = 0

∴ 0 + 6y = -7

∴ 6y = -7

- Divide both sides by 6 to find y

y = [tex]-\frac{7}{6}[/tex]

∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )

∵ The y-intercept of the direct variation is (0, 0)

The equation -x + 6y = -7 does not represent direct variation.

x^(2)+16x+28=0 complete the square

Answers

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

(picture) what is the answer if x=-2

Answers

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.

Answers

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Answers

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)​

Answers

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

please help me fill in the blank

Answers

Answer: X = 5

Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.

(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too

Answers

Answer:

Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Step-by-step explanation:

We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]

and values a=6, b=4 and d=1/2

We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result

Putting values in the equation:

[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]

So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Laura has to three cats: The ratio of Socks weight to princess weight is 4:5 The ratio of princesses weight to Luna's weight is 6 :7. What is the ratio of socks weight to Luna's weight?

Answers

Answer:

s : l = 24 : 35

Step-by-step explanation:

Let

Socks weight = s

Princess weight = p

Luna's weight = l

The ratio of Socks weight to princess weight is 4:5

s : p = 4 : 5

s / p = 4 / 5

The ratio of princesses weight to Luna's weight is 6 :7

p : l = 6 : 7

p / l = 6 / 7

What is the ratio of socks weight to Luna's weight

Multiply both given ratios

s / p * p / l = 4 / 5 * 6 / 7

p cancel out

s / l = 24 / 35

s : l = 24 : 35

Ratio of socks weight to Luna's weight is 24 : 35

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