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
Juli2301 [7.4K]
3 years ago
12

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

You might be interested in
The amount of sales tax on a new car is directly proportional to the purchase price of the car. Victor bought a new car for $30,
Airida [17]

Answer:

Rita paid 47,500 dollars for the purchase price.

Step-by-step explanation:

We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that

when you multiply it to the sales tax you get the purchase price.

Let's set this equation:

y=kx

Let y represent the purchase price and x the sales tax.

The second sentence tells us that (x,y)=(1500,30000).

We can plug this into y=kx to find the constant k.  (Constant means it stays the same no matter what the input and output is).

So we have:

30000=k(1500)

300    =k(15)      I went ahead and divided previous equation by 100.

Now divide both sides by 15:

300/15=k

Simplify:

20=k

So the equation to use the answer the question is

y=20x

where y is purchase price and x is sales tax.

So we want to know the purchase price on a car if the sales tax is 2375.

So replace x with 2375:

y=20(2375)

y=47500

3 0
3 years ago
Read 2 more answers
Ashlyn had some Barbie dolls. Joslyn has 78 barbies. Rounded to the nearest ten, together they have 140 Barbie dolls. How many d
azamat

ashlyn has 60 barbie dolls

6 0
3 years ago
Read 2 more answers
What is the answer to the qustion 0.3h+1.2=0.1h-2.6
andreev551 [17]

Answer:

-19

Step-by-step explanation:

0.3h+1.2=0.1h-2.6

.2h+1.2=-2.6

.2h=-3.8

h=-19

7 0
3 years ago
Molly measured the diameter of her bike tire and found that it was 2 feet across. She estimated that for every turn of the tire,
natulia [17]

Answer:

Molly's estimation was approximately correct.

Step-by-step explanation:

Given:

Diameter of bike tire = 2 feet

Also Given:

She estimated that for every turn of the tire, the bike traveled about 6 feet.

Estimated Distance traveled  = 6 feet

We need to find that whether her estimation reasonable.

Solution:

Now we know that Distance traveled is equal to Circumference of tire.

Since Tire is in circular shape.

We can say that;

Circumference of the tire will be π times diameter.

framing in equation form we get;

Circumference of the tire = \pi \times 2 = 6.28 \ feet

Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.

Hence we can say that Molly's estimation was approximately correct.

5 0
3 years ago
WILL MARK BRAINIEST, QUESTION IS HARD, Ann works for a city’s parks and recreation department. She is looking for some commercia
MrRa [10]

Answer:

x =320

Step-by-step explanation:

Given

x^2 + 200x = 166400

Required

Find x

We have:

x^2 + 200x = 166400

Rewrite as:

x^2 + 200x - 166400 = 0

Expand

x^2 + 520x - 320x - 166400 = 0

Factorize

x(x + 520) - 320(x + 520)= 0

Factor out x + 520

(x - 320) (x + 520)= 0

Split

x - 320 = 0\ or\ x + 520= 0

Solve

x = 320\ or\ x =- 520

Side length must be positive;

So:

x = 320

4 0
2 years ago
Other questions:
  • Need help can someone help me please.
    6·2 answers
  • A card is drawn from a standard 52-card deck. what is the probability that the card is a club, or that the card is a red-suited,
    12·1 answer
  • Olivia is on a road trip with her family. During a three- hour stretch,they traveled 183 miles.How fast were they driving in mil
    15·1 answer
  • In Death Valley, California, the highest ground temperature recorded was 94°C on July 15, 1972. In the formula C= 5/9 (F - 32) ,
    15·1 answer
  • Lilli bought each of her friends a pair of colorful socks that cost $5.50. Complete the table to show how much Lilli paid to buy
    8·2 answers
  • Pplllllzz help where should they goo ill make u brainlist and give u a thank you and I'll get points
    8·1 answer
  • Classify the following triangle as acute, obtuse, or right.
    15·2 answers
  • Write the equation to find the missing side of this triangle.
    11·2 answers
  • Find a single expression that represents the surface area of the rectangular prism
    15·1 answer
  • HELP PLZZZ THERE IS NO ANSWER CHOICES MARKING BRAINLIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!