A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

To learn more about the function visit:

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Related Questions

b) 7p + 6q- 2p + q = ?

Answers

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

HELP PLZ WILL GIVE BRAINLYEST

Answers

Answer:

Light blue

Step-by-step explanation:

Answer:

x ≥ -5

Step-by-step explanation:

A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?

Answers

Answer:

it would take 4 grams. I hope this helps

Answer:

75 grams! hope this helps :3

1. In the diagram, c || d. Identify three numbered
angles that have a measure of 68º.
1
2
3
5
6
7
680

Answers

Answer:

1, 4, and 5 all have a measurement of 68 degrees

Step-by-step explanation:

they are vertical and corresponding angles

Solve the system by graphing 3x+y=4 and x-y=4

Answers

Attached is a pic of the graph


If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.

Answers

It will be 8 this is the answer

Which ratio is larger, 10 to 15 or 14 to 21?

Answers

Answer:

I am pretty sure that is it 14 to 21

Step-by-step explanation:

Sorry if i am wrong

Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 4 ​minutes, while player 2 runs 1 lap every 15 minutes. If player 1 and player 2 begin their run at the same time and location on the​ field, in how many minutes will they meet to begin their next lap​ together?

Answers

Answer:

15 min

Step-by-step explanation:

if it takes Player 1 one min he will meet player two at there second lap after 15 min

If player 1 and player 2 begin their run at the same time and location on the​ field, In 60 minutes will they meet to begin their next lap​ together.

What is LCM?

The LCM of any two is the value that is evenly divisible by the two given numbers.

Given,

Player 1 and player 2 are running laps around a field

Player 1 runs 1 lap every 4 ​minutes,

player 2 runs 1 lap every 15 minutes

We need to find  in how many minutes will they meet to begin their next lap​ together

We need to find the LCM of 4 and 15 to find the answer

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

15: 15,30,45,60

The least common multiple of 4 and 15 is 60.

The two players meet at the same point after 60 minutes.

Hence If player 1 and player 2 begin their run at the same time and location on the​ field, In 60 minutes will they meet to begin their next lap​ together.

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Please solve this question
3x-9<12

Answers

Answer:

Step-by-step explanation:

3x-9<12

You carry the 9 to the other side and do the inverse(opposite of take away

3x<12+9

3x<21

3x/3x

To cancel out the the x you must devide them together and then devide 21÷3

21/3=7

X<7

Answer: x<7 or (-infinity,7)

Step-by-step explanation:

3x-9<12

3x<21

x<7

Find the value of X


Answers

Answer:

7

Step-by-step explanation:

Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:

1/2=2x-6/16

Then:

4x-12=16

4x=28

x=7 ........................

question is in the picture pls help me. much appreciated

Answers

Okay for a diagonal length it isn’t to hard. So 2y-3 is half of the 12 diagonal

So 2y-3+ 2y-3 = 12 or 4y-6= 12
Add 6 to both sides 4y=20
Divide 4 from both sides y=5

Hope this helps

PLEASE HELP!! IT DUE TODAY! im begging you please help me out

Answers

Answer:

11(2r+1)

16(2t+1)

9(4+c)

14(3k+2)

Step-by-step explanation:

no real way to explain besides factor them and take the largest common factor out

Answer:

1) 11(2r+1)

2) 16(2t+1)

3) 9(4+c)

4) 14(3k+2)

Step-by-step explanation:

Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.

There is a proportional relationship between time in hours and time in days.

A. What is the constant of proportionality?

B. what equation describes this relationship?

Answers

Of the proportional relationship between time in hours and time in days, we have that:

a) The constant of proportionality is 24.

b) The equation is [tex]h = 24d[/tex].

What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

Item a:

A day has 24 hours, hence the constant of proportionality is 24.

Item b:

Considering the time in hours as the output and the time in days as the input, the equation is:

[tex]h = 24d[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25815502

Select the correct answer

Answers

Answer:

Option B

Step-by-step explanation:

Domain of a function is represented by the set input values or x-values

Range of the function is represented by the set of output values or y-values.

From the graph attached,

y-values are varying from y = - 9 to y = 8.

Therefore, range of the function from the given graph will be,

-9 ≤ y ≤ 8

Option B will be the correct option.

80 POINTS NEED HELP FOR A BIG GRADE:
Reflect what you have learned about the personality traits and viewpoints of the person you select and adopt this persons perspective as though you were seeing the world through his or her eyes.
Includes: Use first-person pronouns
Includes: A viewpoint and tone that idealistically reflects how this individual would see and experience the subject matter he or she writes about.

Then you will rewrite a entry from Tuesday, July 13, 1943 or Friday, October 29, 1943.

Answers

Yesterday afternoon, Anne asked me to allow her to use the little table in our shared room twice a week in the afternoons, from four o’clock till half past five. Probably because nearly every other spot in the home is taken. It may have been a reasonable request but she is but a child, a child with no respect for her elders, I need that desk. So I told her no just no, and that bad-tempered child refused to be put off like that. I tried to send her away, telling her that “I have to work too, if I can’t work in the afternoons, then there is no time left for me at all. I must finish my task, otherwise I’ve started it all for nothing. Anyway, you don’t work seriously at anything. Your mythology, now just what kind of work is that, knitting and reading are not work either. I am at the table and shall stay there” Her reply was:

  “Mr. Dussel, I do work seriously and there is nowhere else for me to work in the afternoons. I beg of you to kindly reconsider my request.”  

  With these words the offended Anne turned her back on this very learned doctor, Ignoring me completely. She looked as though she was seething with rage. She will probably go run to her father and tell him how horrible her roommate is. That insulinant child!  

   Later that day the girl came to me after the dishes were done and started more unneeded drama telling me “Mr. Dussel, I don’t suppose you see any point in discussing the matter anymore, but I must ask you to do so” How relentless! I could not just let her get away with this” Maybe if I tried just playing nice she would be put in her place, so I put on my best smile a replied. “I am always, and at all times, prepared to discuss this matter, but it has already been settled.”

   She kept on talking about how unfair I was saying “When you first came here we arranged that this room should be for both of us; if we were to divide it fairly, you would have the morning and I all the afternoon! But I don’t even ask that much, and I think my two afternoons are really perfectly reasonable.” At this I jumped up outraged feeling as though someone stuck a needle in me. How dare she the ungrateful child! “You can’t talk about your rights here at all. And Where am I to go then? I shall ask Mr. Van Daan whether he will build a little compartment in the attic, then I can go and sit there. I simply can’t work anywhere. With you one always gets in trouble. If your sister Margot, who after all has more reason to ask such a thing, would have come to me with the same questions, I should not think of refusing, but you…” She attempted to show emotion on her face but I could tell she was hurt but I continued “But you one simply can’t talk to you. You are so outrageously selfish, as long as you get what you want, you don’t mind pushing everyone else to one side, I’ve never seen such a child. But after all, I suppose I shall be obliged to give you your own way, because I shall be told later on that Anne Frank failed her exam because Mr. Dussel would not give up the table for her.”

  At one moment she looked as though she wanted to smack me. When I had finally stopped talking and left the room I could hear her rush away, probably to run to her father whining about how horrible I am.

I was right, her father came to me when I was about to take my turn in the bathroom. We talked for nearly two hours about if Anne deserved to sit at the table. Me and Mr. Frank had already had this discussion before and he had agreed with me, but now because of the wretched child we had to have the whole conversation again. That little brat spoke to me as if I was an intruder who tried to monopolize everything, but of course her father made her out to be a perfect angel who just spoke her mind nicely.

 I finally gave in and allowed her to use the table twice a week. I don’t see that girl ever maturing and acting like a young lady.

   

Wish me luck dealing with that girl, Dussel

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

A and B are independent events.
PA) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
B. 0.6
O c.0.4
D. Not enough information

Answers

Answer:

not enough information

Answer:

It's 0.6

Step-by-step explanation:

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Answers

Answer:

cos (30 deg) = sqrt (3) /2

Step-by-step explanation:

Choose the diagram that correctly represents the ordered pairs below.
(1,4), (4, -1), (2,3), (-3, 1), (0,-5)

Answers

Answer:

Step-by-step explanation:

Is there a picture


By the Exterior Angle Theorem, which of the following is a true statement?

Answers

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]

According to the Exterior Angle Theorem, the true statement should be considered as the option b.

What is an Exterior Angle Theorem?

The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.

So based on this, we can say that the option b is correct.

learn more about an angle here: https://brainly.com/question/6150811

Who is good at math?

Answers

Answer:

me depending on what kind of math it is

Step-by-step explanation:

I NEED HELP PLZ ITS FOR MY FINAL

Answers

Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that answers. Pls help me and explain why it’s that Pls help me and explain why it’s that answers. answers.

Help please! This has to do with the Pythagorean theorem.

Answers

The answer is 14.87.
a^2+b^2=c^2

10^2+11^2=c^2

100+121=c^2

221=c^2

Square root both sides

14.87=c
Hope this helps!!

Find the greatest common factor of 6 and 35

Answers

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-26=b-13
Plz answer I’m a month late on this test

Answers

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

- 13 = b

THE CORRECT ANSWER IS 12 FAVORS!!

Answers

Answer:

yes the answer in 12 fpavers

Step-by-step explanation:

wa

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

which value completes the table?​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Plug in -3 to t^2-3

-3^2-3

9-3

6

A is the only answer that has 6. So your answer would be A

A table of values of a linear function is shown below.

Answers

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles

Answers

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

Step(i):-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

Step(ii):-

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

Final answer:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

           

         

         

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