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

Solve the equation.

4b+3=−9

Answers

Answer:

b=-3

Step-by-step explanation:

4b+3=−9

-3 -3

4b=-12

4b/4 =-12/4

b=-3

Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ

Answers

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

Answer: c = 25.6 inches

PLEASE HELP ME THIS IS FRACTIONS

A jewelry maker has 51 inches of chain. She wants to cut the chain into 9 equal parts. How long will each part be?

four and two ninths inches

five and six ninths inches

six and two fifths inches

seven and three ninths inches

Answers

Answer:

Five and six ninth inches

Step-by-step explanation:

There are 51 inches and 9 (people) want a chain so 51 divided by 9 is 5.666.

Answer:

B

Step-by-step explanation:

Express in the form 1: n.
Give n as a decimal.
8 : 6

please help ​

Answers

Answer:

n = 0.75

1 : 0.75

Step-by-step explanation:

To get from 8 to 1, you have to divide by 8. You do that to the number 6.

6/8 = 3/4 = 75/100.

Therefore, n = 0.75.

The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45

Answers

Answer:

poop

Step-by-step explanation:

poop

The answer is C because the numbers are being multiplied by 3

what is the fraction of 2 1/4

Answers

Answer:

9/4

Step-by-step explanation:

2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4

Answer:

9/4

Step-by-step explanation:

Multiply the denominator which is 4 by the whole number which is 2.

4 x 2 = 8

Next add the numerator to the 8.

8 + 1 = 9

The 9 is now the numerator and keep the original denominator.

9/4

the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point

Answers

Answer:

60 minutes

Step-by-step explanation:

Step 1

We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Therefore,

LCM(4, 5, 6) = 60

They would meet again at starting point after 60 minutes

Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!

Answers

Answer:

ok

Step-by-step explanation:

maria pays 15.20 for 5.3 pounds of candy what is the price per pound of candy

Answers

Answer:

$2.90 per pound

Step-by-step explanation:

You must divide the total from the amount bought.

15.20/5.3 = 2.8679245283

Next, you round the number by the first 2 decimals.

2.86 = 2.90 - The answer

Check if you need to make sure the answer is correct

There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?

Answers

You can look on the app Socratic to help you.

Answer:

The answer is 200

Step-by-step explanation:

(1 1/8 + 1/8) - 5/4

A -1
B 0
C 5/8
D 4/5

Answers

9514 1404 393

Answer:

  B  0

Step-by-step explanation:

Converting all of the fractions to eighths, we have ...

  (9/8 +1/8) -10/8

  = 10/8 -10/8

  = 0

Answer: 0

Step-by-step explanation:

38=p−15

PLEASE HELP MEHHHHH

Answers

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

I have a math question​

Answers

Answer:

D. RS = DQ

Step-by-step explanation:

SSS = Side-side-side congruence criteria!

One is given, other is common, and we have RS=DQ

Answer/Step-by-step explanation:

According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.

RQ ≅ DS.

This means that in order to complete the chart:

RS ≅ DQ

You've analyzed each game. Which game earns
you more points?

A.game 1 (200 points per hit)
B. Game 2 (points double on each hit)
C. It depends

Answers

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Write an equation in the form ax? + bc+c=0 if the roots are r1= - 7 and r2 = -5

Answers

Answer:

A

Step-by-step explanation:

its A. bb cncnd shnans skajana. a

The system shown is blank.

a.) inconsistent
b.) equivalent
c.) ​consistent​

Answers

Answer:

I think it's consistent

Step-by-step explanation:

how to solve r-9≤-25​

Answers

Answer:

Step-by-step explanation:

That’s the answer (the pic)

Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?

Answers

Answer:

49 years old

Step-by-step explanation:

14 = 2/7

14 divided by 2 = 7

7 x 7 = 49

Answer:

49

Step-by-step explanation:

A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;

a). With replacement
i). Both are red
ii). One is black and the other yellow

b). Without replacement
i). Both are red
ii). One is black and the other yellow ​

Answers

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

At her restaurant .Yolanda open 285 cans of tomato sauce .She need to use 4 can of for one pan of lasagna how many pans of lasagna could yolanda make if she uses all if she all the cans what is the answer in a mixed numder

Answers

Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x pan of lasagna

4 = 1

285 = x

Cross product

4*x = 285*1

4x = 285

x = 285/4

x = 71 1/4 pans of lasagna

Evaluate the following expression 10+ 54/-6

Answers

The answer would just be 1

Hey there!

The answer to your question is [tex]1[/tex].

Let us start by dividing:

[tex]\frac{54}{-6} = -9[/tex]

Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].

Hope it helps and have a terrific day!!!

The sum of two integers is 5. Their difference is 11. What are
the two integers?

A) 3 and 14

B) -3 and 8

C)2 and 3

D) -14 and - 3

Answers

Answer:a

Step-by-step explanation:

Which of the following situations can be described by the equation 2x – 4 = 10?

Answers

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

What is Y=3x^2+6x+10 in vertex form.

Answers

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

Michael read 135 pages in 90 minutes. Select all of the rates that have the same constant rate of change as Michael's rate. 180 pages in 2 hours 180 pages in 2 , hours 60 pages in 30 minutes 60 pages in 30 , minutes 108 pages in 212 hours 108 pages in 21 half , hours 150 pages in 1 hour 150 pages in 1 , hour 225 pages in 150 minutes 225 pages in 150, minutes 210 pages in 2 hour 20 minutes

Answers

Answer:

180 pages in 2 hours

225 pages in 150 minutes

210 pages in 2 hours 20 minutes

Step-by-step explanation:

135 pages : 90 minutes

= 135/90

= 3/2

= 3 : 2

180 pages : 2 hours

180 pages : 120 minutes

= 180/120

= 3/2

= 3:2

60 pages : 30 minutes

= 60/30

= 2/1

= 2:1

108 pages : 2 1/2 hours

108 pages : 180 minutes

= 108/180

= 18/30

= 3/5

= 3:5

150 pages : 1 hour

150 : 60

= 150/60

= 10/6

= 5/3

= 5:3

225 pages : 150 minutes

= 225/150

= 9/6

= 3/2

= 3:2

210 pages : 2 hours 20 minutes

210 pages : 140 minutes

= 210/140

= 3/2

= 3:2

Choose the correct scientific notation of this number.
There are 5,280 feet in one mile.

Answers

Answer:

It's C

Step-by-step explanation:


b) Draw the graph of y = 3x - 1
on the grid.

Answers

Step-by-step explanation:

b)

make it braintliest please

Solve for x. show work. 8+b/-4=5

Answers

Answer:

b=12

Step-by-step explanation:

find the equation of the line shown​

Answers

Answer:

[tex]y = - 1x + 9[/tex]

Step-by-step explanation:

Remmeber:

[tex]Slope = \frac{rise}{run} [/tex]

A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles

Answers

the answer is b) 32 miles
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