a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50

Answers

Answer 1

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:


Related Questions

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?

Answers

Answer:

Part A

y =($50 - ($23 × 2 + $5)+ $22)

y = $21

Part B

Clay can get his balance to zero by withdrawing or writing another check for $21

Step-by-step explanation:

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.

Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46

Let his final Account Balance = y

y =($50 - ($23 × 2 + $5)+ $22)

y =$72 - $51

y = $21

Part B: Explain in words, what Clay should do to get his account balance to zero?

Clay can get his balance to zero by withdrawing or writing another check for $21

= $21 - $21

= $0

Karim uses a total of 20 cups of batter to make x cupcakes and a cake. He uses cup of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes, x, can Karim make if he uses all the batter?​

Answers

Answer:

16 cupcakes

Step-by-step explanation:

Total cups of batter = 20

He uses 4 cups for cake and the rest for cupcakes

Number of cupcakes is:

x = 20 - 4 = 16

Please help. BRAINLIEST to correct answer!!

Answers

Answer:

True

Step-by-step explanation:

This is true because these tables represent inverses of each other. I think.

Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.

He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.

Answers

Answer:

Step-by-step explanation:

35(6)x12=224

please help and please explain

Answers

Answer:

D

Step-by-step explanation:

Quadrant II is the top right corner.  Both of the values are positive there so the only correct answer is D.

Hope this helps!

ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS

Answers

Answer:

its the second option.

Step-by-step explanation:

Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.

Answers

d, 3 is the coefficient of the variable x

Lesson 4-1 Solving Systems of Equations by Graphing

Answers

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed? (sorry if its not a lot of points I just made an account ^ ^)

Answers

118.3
65% of 182 people is 118.3

What is the product of -4 and 2 3/5​

Answers

Answer:

[tex]( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}[/tex]

-10.4 is the right answer.

Answer:

-12/5

Step-by-step explanation:

2 and 3/5 can be changed to 13/5

multiply -4 by 3/5 to get -12/5

A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

Given: It is given that the length of the painting is 24 inches and the width is  11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

[tex]\text{Area of painting}=l\times b[/tex]

[tex]\text{Area of painting}=24\times 11[/tex]

[tex]\text{Area of painting}=264 \text{ in}^2[/tex]

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

[tex]\text{Area of painting with mat}=30\times 17[/tex]

[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]

[tex]\text{Area of mat}=510-264[/tex]

[tex]\text{Area of mat}=246 \text{ in}^2[/tex]

Hence, the area of the mat is 246 in².

3x -(-2-4x)=
What does this equals??

Answers

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

(4/9) ÷ (7/12) = ???

Answers

Answer:37/36

Step-by-step explanation:

Source: Trust me

Answer:

16/21

or in decimal form 0.761904

Step-by-step explanation:

could i have that brainlyest

6x + ? = 0
? =
Does anyone know the answer to this

Answers

The answer is -6x because they’ll cancel out = 0
the answer is -6x .

b) 7+2x/3 =5
helppppp

Answers

Answer:

4

Step-by-step explanation:

7+2x/3=5

7+2x. = 15

2x. =8

x. = 4

i hope it is helpful

Answer:

[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]

Kramer earns $400 a week at the bookstore plus $3 for every magazine he sells. He uses the equation y = 3x + 400 to represent his earrings, where x represents magazine sales and y represents his weekly pay.

If he needs to earn $490 next week to pay for his summer field trip, how many magazines does he need to sell?

Answers

Answer:

30

Step-by-step explanation:

490= 400 + 3x

3x=90

x=30

(-5,2) and (1,-2) what’s the rise/run?

Answers

Answer:

m= -2/3

Step-by-step explanation:

Use the slope formula to find the slope m .

-3/2 is correctttttttttttttttt

1 Evaluate the expression. r3 - 2s if r = 5 and s = 4​

Answers

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

Hey there! [tex]\bold{r = 5 ; s =4}[/tex][tex]\bold{5^3 -2(4)}\\ \\ \bold{5^3=5\times5\times5 \rightarrow 25\times5 = \underline{125}}\\\\\bold{2\times4=\underline{8}}\\\\\\\bold{125-8 = \underline{117}}\\\\\\\\\boxed{\boxed{\bold{Answer: \underline{117}}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

What is an
equation of the line that passes through the points (-8,4) and (-8, 8)?

Answers

Answer:

X= -8

Step-by-step explanation:

could you help me with this

Answers

Answer: 40

Step-by-step explanation:

All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.

Answer:

There would be 40

Step-by-step explanation:

10 – 7w – 13 – 7w + 15

I need help plsss!

Answers

Answer:

12-14w

Step-by-step explanation:

PLEASE I NEED HELP!!!!!!!!!

Answers

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

these are the choices
10
8.7
8
8.5

Answers

Answer:

8.7

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

the sides are 1 red line, which means congruent.

Since they are congruent, DF~=EG, which means that EG is 8.7

Hope this helps plz hit the crown :D

Find the product.
-3( -12)

-3( -12) =

Answers

36 because -3x-12 = 36

The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km

Answers

It will take them 2 weeks

Which equation is equivalent to
f(x) = 16x4 – 81 = 0?
(4x2 - 9)(4x2 - 9) = 0
(4x2 + 9)(4x2 - 9) = 0
(4x - 9)(4x - 9) = 0
(4x + 9)(4x - 9) = 0

Answers

Answer:(4x2+9)(4x2-9)=0

Step-by-step explanation:(4x2+9)(4x2-9)=0

Your welcome

2. What does ST TU mean? Why is
this true?

Answers

Answer:

STTU either means Specialized Tactical Training Unit  or Surrounding Thyroid Tissue Uptake

Step-by-step explanation:

ST and TU are typically used to measure a line and/or angle in a triangle or shape. This is true because I've seen it multiple times.

May I have brainliest please? :)

Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.

Answers

Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?

Answers

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

Other Questions
Emilio has completed high school and earned a bachelors degree in Anatomy and Physiology. He is attending medical school and is taking classes that focus on using imaging technology. He is also looking for a residency that will allow him to study X-rays. What career is Emilio most likely working toward?radiologyendourologyneurourologyurologic oncology if i run 160 meters 20 times in 2 hours how fast am i going find the slope please Which pair shows equivalent expressions? (a) 2(2/5x+2)=2 2/5 x+1 (B) 2(2/5x+2) = 2/5x+4 (C) 2(2/5x+2) =2/5x+2 (D) 2(2/5x+2) =2 2/5x+8 Study your family structure and appraise it in terms of the care and attention you receive. Howis this affecting your personal development as an adolescent the maximum displacement of an oscillatory motion is A=0.49m. determine the position x at which the kinetic energy of the particle is half it's elastic potential energy? (if K.E = U/2 __ x = ?) A diver is on a springboard that is 4 meters above the surface of the pool. another diver is 5 meters below the surface of the pool. Who is closer to the surface of the pool? A Punnett square is used to _______. apredict the genotypic and phenotypic probabilities of possible offspring bdetermine if a trait runs in a family ctrack inherited traits through many generations didentify organisms that are carriers of a specific trait Which of the following sentences is grammatically correct? (5 points)I was late to dinner there was a traffic jam.I was late to dinner, there was a traffic jam.I was late to dinner; there was a traffic jam.I was late to dinner for the traffic jam. Asch's conformity experimented showed that _____.people were easily influenced to give the wrong answerit was difficult to persuade someone to give a wrong answerseventy-five percent of people answered correctlyconfederate answers had no influence on others Help me please I will give brainliest.Karris ran eight eighteenths of a kilometer and cycled nine eighteenths kilometers in a race. How many kilometers was the race in all? (A ) 1 kilometer (B ) seventeen thirty sixths kilometer (C ) one eighteenths kilometer (D ) seventeen eighteenths kilometer the early japanese religion or believed everything in nature has a spirit or kami Click to correct the two capitalization errors.what is the answer to this by urban population, Mexico city ,the capitol of Mexico is the largest city in north America. What is 3 2/3 + 4 3/4 equal to 3x + 2x +9 = 10-14Solve for x which nitrogen bases are pyrimidines 8. Jackson bought three CDs. A week later half of all his CDs weredestroyed in a fire. There are now only 24 CDs left. How many didhe start? SGS Corp. has an ROE of 14 percent and a payout ratio of 22 percent. What is its sustainable growth rate? PromptWrite a text where you have tone in your text and a text where you don't Explain to me how a person might misunderstandthe text. Can you write without tone? SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER