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Yakvenalex [24]
3 years ago
14

For f(x)=2x+1 and g(x)=x^2-7, find (f/g)(x)

Mathematics
2 answers:
Drupady [299]3 years ago
8 0
The question is asking us to divide the function f(x) by the function g(x).

Knowing this, we can perform the division:
(2x+1)/(x^2-7) = (f/g)(x)
The simplest answer is \frac{2x+1}{ x^{2} - 7}, as there is no way to further simplify the problem. This means that there is a discontinuity where x =  \sqrt{7}, as it is impossible to divide by 0.
Sonja [21]3 years ago
4 0

Answer:

(2x+1)/(x^2-7) ,  x is not equal to positive or negative squareroot 7

Step-by-step explanation:

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If the measure of angle ACB is 65 degrees, find the measure of angle BCD
jolli1 [7]

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

6 0
3 years ago
Lets see who is smart lol
Simora [160]

9514 1404 393

Answer:

  \square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Cross-multiplying gives ...

  2(y -5) = x -2

  2y -10 = x -2  . . . eliminate parentheses

  2y = x +8 . . . . . . . add 10; next, divide by 2

  \boxed{y=\dfrac{1}{2}x+4}

__

These equations match choices B and D.

6 0
3 years ago
Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.
Levart [38]
The answer is 0.5m cubed.
8 0
2 years ago
For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

E(Z) = Mpq

Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

And as we can see then we can conclude that   Z \sim Bin (M, pq)

8 0
3 years ago
Find the value of x.
podryga [215]

Answer:

x=17

Step-by-step explanation:

the two segements equal each other, so make teh equations equal eachother and solve for x ,2x-10=x+7



4 0
3 years ago
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