All categories

2 years ago

What is 12x squared - 9x + 15

Mathematics

2 answers:

Rashid [163]2 years ago

5 0

$12x^2 - 9x + 15 = 3(4x^2-3x+5)$

kupik [55]2 years ago

4 0

<u>12x² - 9x + 15</u>

It can be written as . . .

3 ( 4x² - 3x + 5 )

but that's just a different way to write the same thing. It doesn't
tell you anything new, until you know what number 'x' is.

You might be interested in

Find the vertex, focus, directrix, and focal width of the parabola: -1/40x^2=y

dimulka [17.4K]

For
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width

remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up

look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
(x-0)^2=4(-10)(y-0)
vertex=(0,0)
p=-10,it's negative so it opens down

focus is 10 units below vertex (y direction)
focus=(0,-10)

diretix is 10 above
directix is y=10

focal width=|4p|=|4(-10)|=|-40|=40

vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units

3 0

3 years ago

there were 19 ppl on the bus on the journey home there were 23 more ppl on the bus how many ppl are on the bus home

Lostsunrise [7]

There were 42 pp rfffffffffffffffffffffffffffffffffff

3 0

2 years ago

Read 2 more answers

I need help on my home work

4vir4ik [10]

Answer:

24/9

Step-by-step explanation:

one face is 4/9 is that's what 2/3² is

then multiply that by the number of faces a cube has (6)

and you get 24/9

6 0

2 years ago

David's chance of making a free throw is 80%. In a game, he takes 10 free throws. What is the probability he makes 8 or fewer fr

maks197457 [2]

Answer:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^{9} (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^1 (1-0.8)^{1} + (0.8)^{10}]$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

For this case we want this probability:

$P(X\leq 8)$

And for this case we can use the comlement rule and we got:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^9 (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^9 (1-0.8)^{1} + (0.8)^{10}]$

4 0

2 years ago

Where does the graph of the line y = x - 2 intersect the x-axis?

Shkiper50 [21]

Answer:

Where does the graph of the line y = x - 2 intersect the x-axis?

O A. (0, 2)

O B. (2,0)

O C. (0, -2)

0 D. (-2, 0)

C. ( 0 , -2 )

Step-by-step explanation:

I hope this helps

Follow // Followback

3 0

2 years ago