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Liula [17]
3 years ago
9

Which inequality is equivalent to x-6/x+5≥x+7/x+3?

Mathematics
2 answers:
GuDViN [60]3 years ago
7 0

It’s c for edunity

-15x-53 / x^2+8x+15 > 0

yawa3891 [41]3 years ago
4 0
To find equivalent inequalities you have to work the inequality given.

The first step is transpose on of sides to have an expression in one side and zero in the other side:

  x - 6        x + 7
--------- ≥  --------
  x + 5       x + 3

=>

  x - 6          x + 7
--------- -  --------   ≥ 0
  x + 5       x + 3

=>

 (x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
          (x + 5) (x + 3)

=>

 x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
         (x + 5) (x + 3)

           15x + 53
-     -------------------   ≥ 0
       (x + 5) (x + 3)

That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
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If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64
cestrela7 [59]
Hi there!

Let's solve this problem step by step!
f(x) =  \frac{1}{8} (8 {}^{x})

To find f(3) we must substitute x = 3 into the formula.
f(3) =  \frac{1}{8} (8 {}^{3} )

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
f(3) =  \frac{1}{8}  \times 512

And finally multiply.
f(3) =  \frac{1}{8}  \times  \frac{512}{1}  =  \frac{512}{8}  = 64

Hence, the answer is D. 64.
~ Hope this helps you!
4 0
2 years ago
Read 2 more answers
35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Mashutka [201]

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

8 0
2 years ago
10 lemons cost £1. 20 find the cost for 4
Kryger [21]

0.48p

Step-by-step explanation:

1.20÷10=0.12

0.12×4=0.48

7 0
2 years ago
Read 2 more answers
Are the two expressions equivalent 5(3x+8) 8x+8 when x=10
Brums [2.3K]

Answer:no

Step-by-step explanation:

5(3(10)+8)

5(30+8)

5(38)=190

8(10)+8

80+8

88

88≠190 so no

7 0
3 years ago
Read 2 more answers
12(5 x-4.5)=36 what is the value of x
-Dominant- [34]

Answer:

x=

3 /2

Step-by-step explanation:

12(5x−4.5)=36

(12)(5x)+(12)(−4.5)=36(Distribute)

60x+−54=36

60x−54=36

Step 2: Add 54 to both sides.

60x−54+54=36+54

60x=90

Step 3: Divide both sides by 60.

60x

60

=

90 /60

x=

3 /2

6 0
3 years ago
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