What is the solution of the proportion 22/11=r/13

How do you begin to solve x^3-3x^2 > x-3?

aliya0001 [1]

For any polynomial, first check to see if it factors. Then you can set each factor equal to zero.
$x^3 -3x^2 -x+3 \ \textgreater \ 0 \\ \\ x^2 (x-3) - (x-3) \ \textgreater \ 0 \\ \\ (x^2 -1)(x-3) \ \textgreater \ 0 \\ \\ (x-1)(x+1)(x-3) \ \textgreater \ 0$

The three zeros are -1,1,3

Next plug in values in each interval between zeros to test whether its greater than 0.

Try x values: -2,0,2,4

x = -2 yields a negative result, the interval x< -1 is Not a solution.

x = 0 yields a positive result, the interval -1
x = 2 yields a negative result, the interval 1
x = 4 yields a positive result, the interval x>3 IS a solution

4 0

3 years ago

Given the polynomial f(x)=8x5−4x3 6x 15

Aleonysh [2.5K]

Hello,

Answer D 5/4

since div 15={1,3,5,15}
and div 8={1,2,4,8}
posiible rational root is a*b where a∈div 15 and b∈div 8

6 0

3 years ago

The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does n

Solnce55 [7]

The claim of Miguel is correct, as the two events are independent because P(NF|PB) = P(NF).

<h3>What is conditional probability? </h3>

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

The probability of event A, given that the event B is occurred.

Independent events are those events whose occurrences do not depend on the other events.

The two-way table shows the distribution of book style to genre is given as,

The first column has entries paperback, hardcover, total.

The second column is labeled Fiction with entries 20, 10, 30.

The third column is labeled nonfiction with entries 60, 30, 90.

The fourth column is labeled total with entries 80, 40, 120.

Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Suppose that two events are denoted by A and B. They are said to be an independent event if and only if:

$P(A \cap B) = P(A)P(B)$

Put the values as,

$\dfrac{60}{120}=\dfrac{80}{120}\times\dfrac{90}{120}\\\dfrac{1}{2}=\dfrac{1}{2}$

As both the values are equal. Thus, the claim of Miguel is correct because the two events are independent because P(NF|PB) = P(NF).

Learn more about the probability here;

brainly.com/question/24756209

Learn more about the independent events here;

brainly.com/question/12700357

4 0

2 years ago

Read 2 more answers

Ok but fr help.. Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a rig

Strike441 [17]

Answer:

If you take the 2 smallest sides and put it in the pythagreon theorem to get the other side length.

Step-by-step explanation:

So if you have a triangle with side lengths, 3, 4, and 5, you can use the exact equation below.

${3}^{2} + {4}^{2} = {5}^{2}$

Because this is true, then the triangle does have a right angle.

4 0

3 years ago

Patricia cut 2 pizzas into eights. She ate 1/4 of one pizza on Friday and ate three pizza on Saturday. How much of the two pizza

grandymaker [24]

Answer:

1 3/8

Step-by-step explanation:

1/4 of a pizza cut into 8ths will give you 2 slices of pizza. if she ate 3 more slices of pizza on saturday, in all that gives you 5 out of 8 slices of pizza. 8-5 is 3. She still has a pizza left over so she has 1 and 3/8slices of pizza left

5 0

4 years ago