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4 years ago

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

1 answer:

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