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
klio [65]
3 years ago
15

Which trinomials are prime?Choose all answers that are correct.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

x^2+11x+18 is prime

Step-by-step explanation:

<u>Prime Trinomials</u>

A given trinomial is prime if it cannot be factored. The general expression for a trinomial is

ax^2+bx+c

Another useful expression is

a(x-x_1)(x-x_2)

where x1 and x2 are the zeroes of the trinomial.

The zeroes can be computed by using the known formula

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

The trinomial has two zeroes if the root can be found as a real number, that is if d is positive or zero, where

d=b^2-4ac

Let's test the four options

x^2-8x+2

a=1,b=-8,c=2

d=(-8)^2-4\cdot 1\cdot 2=56

Since d is positive, the trinomial can be factored and therefore is not prime

x^2+4x+5

a=1,b=4,c=5

d=4^2-4\cdot 1\cdot 5=-4

Since d is negative, the trinomial is prime

x^2+11x+18

a=1,b=11,c=18

d=11^2-4\cdot 1\cdot 18=49

Since d is positive, the trinomial can be factored and therefore is not prime

x^2-3x-2

a=1,b=-3,c=-2

d=(-3)^2-4\cdot 1\cdot (-2)=17

Since d is positive, the trinomial can be factored and therefore is not prime

You might be interested in
State when the following equations and inequalities will be true and when they will be false.
-BARSIC- [3]

' 36 = 9k ' is not an inequality.  It's an <u>equality</u>, usually called an <em><u>equation</u></em>.

It's true whenever 'k' is 4, and false at any other time.

(You can determine that simply by dividing each side of the equation by 9.)


6 0
3 years ago
A random sample of adults showed that of them have shopped at least once on the Internet. What is the (approximate) probability
Anvisha [2.4K]

Answer:

P = number of adults who have shopped at least once on the internet / number sampled adults

Step-by-step explanation:

Step 1

Let X be the number sampled adults

Let Y be the number of adults who have shopped at least once on the internet.

Let P be the probability that a randomly selected adult has shopped on the Internet.

Step 2

P = number of adults who have shopped at least once on the internet / number sampled adults

P = Y/X

An example:

If X is 1000 adults and Y is 200 adults therefore P = 200/1000 = 0.2

One can therefore infer that approximately 0.2 of the population surfs the internet at least once in a week.

5 0
3 years ago
The volume of a rectangular prism is (x3 – 3x2 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular pri
34kurt

To solve the problem we will put the values given to us in the formula of volume of a prism.

<h2>Prism</h2>

A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.

The height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

<h2>Explanation</h2>

Given to us

  • volume of a rectangular prism = (x3 – 3x2 5x – 3),
  • area of its base = (x2 – 2)
  • the volume of a rectangular prism is the product of its base area and height,

As given  to us,

\rm{ Volume\ of\ prism = Area\ of\ base \times Height

\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}

Substituting the values we get,

\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}

Hence, the height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

Learn more about Volume of Prism:

brainly.com/question/1578538

5 0
2 years ago
State the slope and a point on the line y – 18 = 71.3(x + 98).
jenyasd209 [6]

The slope is m=71.3

You have to put the equation into y=mx+b

y – 18 = 71.3(x + 98)

y=71.3x+6987.4+18

y=71.3x+7005.4

A point would be (0,7005.4)

6 0
3 years ago
Use a system of linear equations to find the quadratic function
Arada [10]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Jody has 4 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
    10·2 answers
  • Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 81 mph and a standa
    12·1 answer
  • A supplier sells 2 and 1/4 pounds of mulch for every 1 and 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and grav
    15·1 answer
  • Which of the following equations is an example of a line written in slope-intercept form?
    10·1 answer
  • 35. Two angles form a linear pair. The measure of
    12·1 answer
  • Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I
    14·1 answer
  • Find the slope of the line.<br> 1.<br> (5, 3)<br> (-5, 1)
    10·1 answer
  • Please help me it’s due at 3:00pm please will mark the brainiest please help me
    8·2 answers
  • 8 4/7÷1/5 Please Help
    14·2 answers
  • Ya'll FR get 50 points if you answer this question.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!