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Paladinen [302]
3 years ago
8

Solve the inequality (3x+2)/(x+1)>4

Mathematics
1 answer:
Alex3 years ago
6 0
\dfrac{3x+2}{x+1}>4
3x+2>4(x+1)
3x+2>4x+4
-2>x
x
You might be interested in
Find the prime factors of 60 by dividing by prime numbers.​
Mars2501 [29]

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

<h3>60 = 2*2*3*5</h3>

which is the same as saying

<h3>60 = 2^2*3*5</h3>
7 0
2 years ago
F(x) =2x-5 and g(x) =x+52 find f(g(x)
irga5000 [103]
If f(x) = 2x - 5 and g(x) = x + 52, then f(g(x)) can be deduced by placing g(x) in the spot of x in the f(x) equation as follows:

f(g(x)) = 2(g(x)) - 5

Since we know g(x) = x + 52, let's plug it in:

f(g(x)) = 2(x + 52) - 5
f(g(x)) = 2x + 104 - 5
f(g(x)) = 2x + 99
4 0
3 years ago
Read 2 more answers
Find two consecutive numbers whose squares differ by 45
Wittaler [7]

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

5 0
3 years ago
12 is 90% of what number?<br><br><br> with steps
a_sh-v [17]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>
  • Here 12 is 90% of a number.
  • So we can say that 90% of That number is 12 .
  • In this way we can get the the number
<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

{:}\longrightarrow\sf 90\% \:of \;x=12

  • We know 90%=90/100
  • so add it

{:}\longrightarrow\sf {\dfrac {90}{100}}\times x=12

{:}\longrightarrow\sf {\dfrac {90x}{100}}=12

  • Now use cross multiplication method

{:}\longrightarrow\sf 90x=12\times 100

{:}\longrightarrow\sf 90x=1200

  • Now interchange sides .

{:}\longrightarrow\sf x={\dfrac {1200}{90}}

{:}\longrightarrow\sf x={\dfrac {200}{15}}

  • Answer will come in decimals so we take approximate value.

{:}\longrightarrow\sf x=13.3

{:}\longrightarrow\sf x=approximately \:13

\thereforeThe number is 13.

6 0
2 years ago
Candace has $20 more than Amar. Their combined money totals $95. Write a system of equations represents this situation
STALIN [3.7K]

Answer:

Candace has $57.5 and Amar has $37.5.

Step-by-step explanation:

x+(x+20)=z

x+20=y

x+y=z

--------------

2x+20=95

2x=95-20

2x=75

x=75/2

x=37.5

37.5+20=y=57.5

5 0
3 years ago
Read 2 more answers
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