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sweet [91]
3 years ago
13

4(-8x + 5) = -24x – 16

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

x = 9/2

Step-by-step explanation:

Solve for x:

4 (5 - 8 x) = -24 x - 16

Expand out terms of the left hand side:

20 - 32 x = -24 x - 16

Add 24 x to both sides:

24 x - 32 x + 20 = (24 x - 24 x) - 16

24 x - 24 x = 0:

24 x - 32 x + 20 = -16

24 x - 32 x = -8 x:

-8 x + 20 = -16

Subtract 20 from both sides:

(20 - 20) - 8 x = -20 - 16

20 - 20 = 0:

-8 x = -20 - 16

-20 - 16 = -36:

-8 x = -36

Divide both sides of -8 x = -36 by -8:

(-8 x)/(-8) = (-36)/(-8)

(-8)/(-8) = 1:

x = (-36)/(-8)

The gcd of -36 and -8 is -4, so (-36)/(-8) = (-4×9)/(-4×2) = (-4)/(-4)×9/2 = 9/2:

Answer:  x = 9/2

Vesna [10]3 years ago
4 0

Answer:

x = 9/2

Step-by-step explanation:

-32x+20=-24x-16

-32x+24x+20=-16

-8x=-16-20

-8x=-36

x=9/2

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In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

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

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

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then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
2 years ago
Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters
Rama09 [41]

Answer:

12 meters

Step-by-step explanation:

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3 years ago
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IceJOKER [234]
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Step-by-step explanation:

idk  tbh

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What is the square root of 8 rounded to the nearest tenth?
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Square Root of 8 to the nearest tenth, means to calculate the square root of 8 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 8 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 8 to be:

√8 = 2.82842712474619

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

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Round 2.82 so you only have one digit after the decimal point to get the answer:

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To check that the answer is correct, use your calculator to confirm that 2.82 is about 8.

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