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igor_vitrenko [27]
3 years ago
13

Solve 2|x + 2| – 3 ≥ 0 by graphing

Mathematics
1 answer:
nalin [4]3 years ago
7 0

this is the answer of the equation as a graph

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1. For what values of x does the function y=2x+13 take on a positive value? a negative value?
egoroff_w [7]
2x+13=0\\
2x=-13\\
x=-6.5

The function is linear where a\ \textgreater \ 0, so it's negative for x\ \textless \ -6.5 and positive for x\ \textgreater \ -6.5

............................

D:x\in\mathbb{R}\setminus\{-1,1,0\}\\\\
\dfrac{a+3}{a^2-1} - \dfrac{1}{a^2+a}=\\
\dfrac{a+3}{(a-1)(a+1)} - \dfrac{1}{a(a+1)}=\\
\dfrac{a(a+3)}{a(a-1)(a+1)} - \dfrac{a-1}{a(a-1)(a+1)}=\\
\dfrac{a^2+3a-a+1}{a(a-1)(a+1)}=\\
\dfrac{a^2+2a+1}{a(a-1)(a+1)}=\\
\dfrac{(a+1)^2}{a(a-1)(a+1)}=\\
\dfrac{a+1}{a(a-1)}


for a\in(-\infty,-1) it's negative
for a\in(-1,0) it's positive
for a\in(0,1) it's negative
for a\in(1,\infty) it's positive



4 0
4 years ago
100 Brainliest up for grabs to person who can answer all of these with no links:
kogti [31]

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

  • P(X = 0) = 0.2.
  • P(X = 1) = 0.4.
  • P(X = 2) = 0.3.
  • P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

More can be learned about discrete probability distributions at brainly.com/question/24855677

6 0
3 years ago
There are 42 students in a class.
Tema [17]

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

6 0
3 years ago
A bouquet of flowers contains a total of 24 red and white roses. The number of red roses is 4 less than three times the number o
geniusboy [140]

Answer:

White roses - 7

Red roses - 17

Step-by-step explanation:

Set up proportional equations

White roses = x

Red roses = 3x - 4

Set equal to 24

x + 3x - 4 = 24

4x - 4 = 24

4x = 28

x = 7

x is white roses, so there are 7

Plug x value into red rose equation

3(7)-4

21-4 = 17 red roses

Check

17+7 = 24

5 0
3 years ago
Mai purchased a prepaid phone card for $20. Long distadnce calls cost 8 cents a minute using this card. Mai used her card only o
Leno4ka [110]

I'm not really good at math but I would like to help.

If each call is $.08, then the card can call last for 250 minutes.

The call lasted 202 minutes. Divide 16.16 by .08.

3 0
3 years ago
Read 2 more answers
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