Ordenar de mayor a menor los números racionales

Please could you explain this step by step I’m really stuck.

allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
$5(x + 2) +4x + 12 = (2x + 6)(x + 2)$
$5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12$
$9x + 22 = 2x^2 + 10x + 12$

Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".

$0 = 2x^2 - 4x + 5x - 10$
$0 = 2x(x - 2) + 5(x - 2)$
$0 = (2x + 5)(x - 2)$

Using the zero product property, set each factor to 0 and solve for x.

2x + 5 = 0
2x = -5
x = -5/2 = -2.5
x - 2 = 0
x = 2

The two answers are x = -2.5, and x = 2.

3 0

2 years ago

Read 2 more answers

You need 250 mL of a 90% alcohol solution. On hand, you have a 75% alcohol mixture. How much of the 75% alcohol mixture and pure

stich3 [128]

9514 1404 393

Answer:

100 mL of 75% solution
150 mL of pure alcohol

Step-by-step explanation:

Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...

1.00x +0.75(250 -x) = 0.90(250)

0.25x +187.5 = 225 . . simplify

0.25x = 37.5 . . . . . . . . subtract 187.5

x = 150 . . . . . . . . . . . . . divide by 0.25

(250 -x) = 100 . . . . mL of 75% solution

You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.

8 0

3 years ago

Do many fishermen collect worms at night?

stealth61 [152]

The question actually relates to finding the direct object in the sentences given.
In the first sentence, the direct object is "worms". The correct option among all the options that are given in the question is the third option or option "C".

In the second sentence, the direct object is "worms". The correct option among all the options that are given in the question is the first option or option "A".

In the third sentence, the direct object is "worms". The correct option among all the options that are given in the question is the third option or option "C".

6 0

3 years ago

Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f

sergeinik [125]

$f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}$

$f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}$

Stamement 2. f(-2)=f(2) is true.

3 0

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Liula [17]

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

7 0

3 years ago

Ordenar de mayor a menor los números racionales ​

Ordenar de mayor a menor los números racionales