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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

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A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the
zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

\dfrac{1593}{2451} \times 100 = 64.99\%

So, option A is not correct.

Percentage of girls who play video games:

\dfrac{1361}{2996} \times 100 = 45.43\%

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

\dfrac{2493}{5447} \times 100 = 45.77\%

So, option C is not correct.

7 0
3 years ago
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Arte-miy333 [17]
I hope this helps you


6. (-7).a^2+4.b^1+7

-42.a^6.b^8
3 0
3 years ago
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Alina [70]
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3 years ago
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Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

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19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

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5 0
3 years ago
Solve for d -6 = d/3
NikAS [45]

Answer:

-18

Step-by-step explanation:

6 0
2 years ago
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