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3 years ago

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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Elden [556K]

Answer:

(x+1)^2+(y+1)^2=13

Step-by-step explanation:

Equation of a circle: (x – h)^2 + (y – k)^2 = r^2

center: (-1, -1)

radius: sqrt(6^2+4^2)/2=sqrt(52)/2=2sqrt(13)/2=sqrt(13)

Substitute those values in to get

(x+1)^2+(y+1)^2=13

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3 years ago

The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit pu

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2 years ago

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A line has a slope of -4 and passes through the point (2,-5) <br> which is the equation of the line

dimulka [17.4K]

We will be using the Point Slope formula which is $y-y_{1} =m(x-x_{1} )$

The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

$y- (-5) = -4(x-2)$

This simplifies into $y+5 = -4x +8$

Then we can subtract 5 from each side to get the answer:

$y = 4x+3$

6 0

3 years ago

72 inches=___ yards please and thank you for your help

I am Lyosha [343]

We know that:

$1yd=36in\text{.}$

Then:

$1in=\frac{1}{36}yd\text{.}$

Therefore:

$72in=72\cdot(\frac{1}{36}yd)\text{.}$

Simplifying the above result we get:

$72\cdot\frac{1}{36}yd=2yd\text{.}$

Answer:

$72\text{inches}=2\text{yards.}$

6 0

1 year ago

Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

6 0

3 years ago