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Blababa [14]
3 years ago
5

8x - 3(2x - 4) * - 9

Mathematics
2 answers:
Zinaida [17]3 years ago
8 0

Answer:

x = 54/31

Step-by-step explanation:

Solve for x:

8 x + 27 (2 x - 4) = 0

27 (2 x - 4) = 54 x - 108:

54 x - 108 + 8 x = 0

Grouping like terms, 54 x + 8 x - 108 = (8 x + 54 x) - 108:

(8 x + 54 x) - 108 = 0

8 x + 54 x = 62 x:

62 x - 108 = 0

Add 108 to both sides:

62 x + (108 - 108) = 108

108 - 108 = 0:

62 x = 108

Divide both sides of 62 x = 108 by 62:

(62 x)/62 = 108/62

62/62 = 1:

x = 108/62

The gcd of 108 and 62 is 2, so 108/62 = (2×54)/(2×31) = 2/2×54/31 = 54/31:

Answer:  x = 54/31

trapecia [35]3 years ago
4 0

Answer:

62x - 108

Step-by-step explanation:

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Yuri [45]

Answers

1) 4

2) 0, 2, -10

3) 0, 5, -2

Step-by-step explanation:

1) x³ - 64 = 0

x³ = 64

x = 4

2) x³(x² + 8x - 20) = 0

x³(x² + 10x - 2x - 20) = 0

x³(x(x + 10) - 2(x + 10)) = 0

x³(x + 10)(x - 2) = 0

x = 0, 2, -10

3) x³ - 3x² - 10x = 0

x(x² - 3x - 10) = 0

x(x² - 5x + 2x - 10) = 0

x(x(x - 5) + 2(x - 5)) = 0

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x = 0, 5, -2

4 0
3 years ago
When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
german

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

a)

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

b)

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

3 0
3 years ago
Read 2 more answers
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
LenKa [72]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

3 0
3 years ago
Donald bought a box of golf balls for 9.54 dollars.there were 18 golf balls in the box. about how much each golf ball cost
lesantik [10]
You just have to divide the amount spent by the number of golf balls.
$9.54 divided by 18 balls = $0.53 per golf ball

4 0
3 years ago
If x and y are positive real numbers, which expression is equivalent to the expression below?
Vikki [24]

The answer is A.) 21x/^3y

Here is proof

7 0
3 years ago
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