1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikitadnepr [17]
3 years ago
15

The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph show

s this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Answer:

B. The y-intercept will shift down

Step-by-step explanation:

You might be interested in
How to solve this problem because I have no clue in what I’m doing here plz help
Lelechka [254]

Answer:

Step-by-step explanation:

Be cool

5 0
3 years ago
PLEASE SOMEONE HELP ME
mylen [45]

Answer:

.

Step-by-step explanation:

4 0
3 years ago
Figure ABCD is similar to figure MNKL. Write a proportion that contains BC and KL.
joja [24]
B/C = K/L because they are similar
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cint%20t%5E2%2B1%20%5C%20dt" id="TexFormula1" title="\frac{d}{dx} \
Kisachek [45]

Answer:

\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2}  t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2

Step-by-step explanation:

\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2}  t^2+1 \ \text{dt} = \ ?

We can use Part I of the Fundamental Theorem of Calculus:

  • \displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

  • \displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

  • \displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

  • \displaystyle\int\limits^b_a \text{f(t) dt}\  = -\int\limits^a_b \text{f(t) dt}

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

  • \displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx}  \int\limits^{x^2}_0 t^2+1 \text{ dt}  

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

  • \displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u]
  • where u represents any function other than a variable

For the first term, replace \text{t} with 2x, and apply the chain rule to the function. Do the same for the second term; replace

  • \displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)  

Simplify the expression by distributing 2 and 2x inside their respective parentheses.

  • [-(8x^2 +2)] + (2x^5 + 2x)
  • -8x^2 -2 + 2x^5 + 2x

Rearrange the terms to be in order from the highest degree to the lowest degree.

  • \displaystyle2x^5-8x^2+2x-2

This is the derivative of the given integral, and thus the solution to the problem.

6 0
2 years ago
Rational numbers are _____ natural numbers.<br> A. Always<br> B. Sometimes<br> C. Never
ratelena [41]
I think it is
A. Always
8 0
3 years ago
Other questions:
  • What is the opposite of 4.3
    7·1 answer
  • Can someone help me please ASAP?
    10·1 answer
  • Find the missing value
    5·1 answer
  • Expand each expression
    12·2 answers
  • What is foreign exchange
    9·2 answers
  • What is the product written in scientific notation?<br><br> (1.18×103)⋅(9.1×10−6)
    14·2 answers
  • Expand the expression and combine like terms. Show your work.<br><br> 1.6x−12(3.8x+0.04)
    5·1 answer
  • Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)
    6·1 answer
  • Are these right? HELP PLEASE !!
    9·2 answers
  • In AABC, if AB = 14 and BC = 9, AC may be equal to<br> A. 13<br> B. 23<br> C. 25<br> D. 5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!