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Liula [17]
3 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]3 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)

 

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Answer:

1

Step-by-step explanation:

-10n+8n=10

-2n=10

n=-5

So, one solution

5 0
3 years ago
What is the surface area, measured in square
Aliun [14]

Answer:

SA = 126 square cm

Step-by-step explanation:

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SA = 2(5 · 6) + 2(6 · 3) + 2(5 · 3)

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7 0
3 years ago
At Beast Island Pizza, every pizza comes with cheese and tomato sauce. Beast Island Pizza offers four toppings: Pepperoni, sausa
malfutka [58]

Using the Fundamental Counting Theorem, there are 60 different ways to order the pizza.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

For this problem, the parameters are found as follows:

  • For the sauce, there are 2 options, cheese or tomato, hence n_1 = 2.
  • For the topping, there are 4 options, but the options may be combined, for example, Pepperoni and Sausage, hence n_2 = 2^4 - 1= 15.
  • The topping can be added to either all the pizza or only half the pizza, hence n_3 = 2.

Thus the number of ways is given by:

N = 2 x 15 x 2 = 60.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

5 0
1 year ago
3x -2=13 what is x ...........
Tom [10]
Methods:

3x-2=13

=> 
3x-2+2=13+2

=> 
3x+0=15

=> 
3x=15

=> 
\frac{3}{3}x= \frac{15}{3}

=> 
x =  \frac{5}{1} or 5

or, (do side changing)

3x-2=13

=> 3x=13+2

=> 3x=15

=> x= \frac{15}{3}

=> x= \frac{5}{1} or 5


3 0
4 years ago
Read 2 more answers
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