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
Liula [17]
2 years ago
5

find the equation of a cubic function whose graph passes through points (3,0) and (1,4) and is tangent to x-axis at the origin

Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

<em><u>Preliminary Remark</u></em>

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

<em><u>(3,0)</u></em>

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

0 = 27a - 9ah

from which h = 3

<em><u>From the second point, we get</u></em>

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

<em><u>Answer</u></em>

y = -2x^2(x - 3)

 

You might be interested in
Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the po
True [87]
\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 9 &,& -2~) &#10;%  (c,d)&#10;&&(~ 10 &,& 2~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope =  m\implies &#10;\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{10-9}\implies \cfrac{2+2}{10-9}\implies \cfrac{4}{1}\implies 4&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=4(x-9)\implies y+2=4(x-9)
4 0
3 years ago
Please help me out!!!!!!!!!!!!!!!!!
marta [7]

Answer:

Step-by-step explanation:

2x+y=14+y

x=7

7+13y=35-y

14y=28

y=2

7 0
3 years ago
Read 2 more answers
Help please!! I’m confused on this question. Thank you!!!
myrzilka [38]

Answer:

Im pretty sure that is an obtuse angle

Step-by-step explanation:

Hope that helps

6 0
3 years ago
Read 2 more answers
Can I get some help plz thank u sm
weeeeeb [17]

Answer:

x = 72

hope it helps

5 0
2 years ago
The figure is mad up of two shapes? A semicircle and a rectangle
musickatia [10]

Answer:

  Your answer choice is correct.

Step-by-step explanation:

The length of the semicircle is ...

  s = π·r = π(4 in)

The three sides of the rectangular section total ...

  9 in + 8 in + 9 in = 26 in

The sum of these lengths make up the perimeter of the figure:

  P = 4π in + 26 in

  P = (4π +26) in

6 0
3 years ago
Other questions:
  • Find all real and complex roots of the equation below x^4-81=0
    12·1 answer
  • What fraction is equal to 30/45
    11·1 answer
  • The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
    7·1 answer
  • Solve:<br> (-2)(-1)-3) =
    12·1 answer
  • The graph shows the distance of a car from a measuring position located on the edge of a straight road.(a) What was the average
    15·1 answer
  • A central angle in a circle has a measure of 180°. The length of the arc it intercepts is 8 in.
    10·1 answer
  • I-Ready
    10·1 answer
  • Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of t
    9·1 answer
  • HEEEEEELPPP NO ONE IS ANSWERING THIS QUESTION PLEASE HELP PLEASE
    15·2 answers
  • A rectangular room is 1.2 times as long as it is wide, and its perimeter is 26 meters. Find the dimension of the room.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!