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
miskamm [114]
4 years ago
12

Find cubic function given the zeroes 3, -4, and 6

Mathematics
1 answer:
Oksana_A [137]4 years ago
4 0
\mathsf{(x-3)\cdot(x+4)\cdot(x-6)=0}\\ \\ \mathsf{(x^2+4x-3x-12)\cdot(x-6)=0}\\ \\ \mathsf{(x^2+x-12)\cdot(x-6)=0}\\ \\ \mathsf{x^3-6x^2+x^2-6x-12x+72=0}\\ \\ \boxed{\mathsf{x^3-5x^2-18x+72=0}}
You might be interested in
If g(x) = 3/2x + 3, and g(a) = 0, what is a ?
Lostsunrise [7]

Answer:

a = -2

Step-by-step explanation:

g(x) = 3/2x + 3

g(a) = 0

g(a) = 3/2a +3 =0

Subtract 3 from each side

3/2a +3-3=0-3

3/2a = -3

Multiply each side by 2/3

2/3 * 3/2a = -3*2/3

a = -2

4 0
4 years ago
Choose two numbers which absolute value of 5 1/2
shepuryov [24]

Answer:

11/2,5.5

Step-by-step explanation:

8 0
4 years ago
The endpoints of CD are C(1, -6)and D(7,5). Find the coordinate of the midpoint, M
yuradex [85]

Answer:

(4, - 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} ]

Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then

midpoint = ( \frac{1+7}{2} , \frac{-6+5}{2} ) = \frac{8}{2} , \frac{-1}{2} ) = (4, - 0.5 )

6 0
3 years ago
Easy way to remember my 9th multiplication chart
kap26 [50]
If you wanna divide 9's on your fingers, its really easy...
Example: If you wanna do 3x9 you hold up your 10 fingers and put down your fourth finger... it would look like your saying 36, and that is your answer. 
Another example:  If you wanna do 6x9 you hold up your 10 fingers and put down your 7th finger... It would look like you are saying 63 and that is your answer.
I hope this helps, tell me if you have any questions.<span />
8 0
3 years ago
Read 2 more answers
4. Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean
Karo-lina-s [1.5K]

Answer:

Yes, Tom must be admitted to this university.

Step-by-step explanation:

We are given that the scores on national test are normally distributed with a mean of 500 and a standard deviation of 100.

Also, we are provided with the condition that Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test.

Let, X = score in national test, so X ~ N(\mu=500 , \sigma^{2} = 100^{2})

The standard normal z distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Now, z score of probability that tom scores 585 is;

             Z = \frac{585-500}{100} = 0.85

Now, proportion of students scoring below 85% marks is given by;

P(Z < 0.85) = 0.80234

This shows that Tom scored 80.23% of the students who took test while he just have to score more than 70%.

So, it means that Tom must be admitted to this university.

                                                  

4 0
4 years ago
Other questions:
  • The gcf of 135 225 270
    10·1 answer
  • In Greg's hat, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow to
    9·1 answer
  • S=6r2t<br><br>plz help 32 points
    14·1 answer
  • The zeros of a function are the values of x x for which the function is equal to zero. Enter a number in each blank to make true
    11·1 answer
  • There were 75,000 people in The Swamp one Saturday afternoon. The number of the people in The Swamp was 1.5 times that of the pe
    11·1 answer
  • Write the missing factor.
    5·1 answer
  • Find the discounted price of the teddy bear which has a regular price of $450.
    12·1 answer
  • To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the
    8·1 answer
  • Jenna used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below: Number on
    15·1 answer
  • Find the distance between the points ( – 4,8) and ( – 4, – 5)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!