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3 years ago

What is the x-intercept 1/2x - 3y = 8

Mathematics

2 answers:

Strike441 [17]3 years ago

6 0

X intercept is when y = 0
so 1/2 x - 0 = 8
solving for x
1/2 x = 8
multiply both sides by 2
x = 16 is the y intercept

Georgia [21]3 years ago

5 0

So first make it into slope intercept form y=mx+b

1/2x-3y=8
subtract 1/2x from both sides
-3y=8-1/2x
multiply both sides by -1
3y=1/2x-8
divide both sides by 3
y=1/6x-8/3

the x intercept is when y=0
so set y to zero
0=1/6x-8/3
add 8/3 to both sides
8/3=1/6x
multiply both sides by 6
16=x

the x intercept is 16

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BartSMP [9]

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

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3 years ago

(-3/2)x - 9 = - 27 solve for x

aleksklad [387]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(-3 x)/2 - 9 = -27

Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:

(-18)/2 - (3 x)/2 = -27

(-18)/2 - (3 x)/2 = (-3 x - 18)/2:

(-3 x - 18)/2 = -27

Multiply both sides of (-3 x - 18)/2 = -27 by 2:

(2 (-3 x - 18))/2 = -27×2

(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:

-3 x - 18 = -27×2

2 (-27) = -54:

-3 x - 18 = -54

Add 18 to both sides:

(18 - 18) - 3 x = 18 - 54

18 - 18 = 0:

-3 x = 18 - 54

18 - 54 = -36:

-3 x = -36

Divide both sides of -3 x = -36 by -3:

(-3 x)/(-3) = (-36)/(-3)

(-3)/(-3) = 1:

x = (-36)/(-3)

The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:

Answer: x = 12

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3 years ago

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Ugo [173]

Answer:

1,-4

Step-by-step explanation:

I hope it helps because we did that in class

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3 years ago

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suter [353]

Answer: The empirical probability that the individual being born is a male = 0.498

Step-by-step explanation:

Given the following :

Number of males born =2,265,031

Number of females born = 2,287,419

Empirical probability is given as :

P( A) =( Number of possible outcomes of event A ÷ Total number of events)

Total number of events = (number of males born + number of females born)

Total number of events = (2,265,031 + 2,287,419) = 4552450

Probability(individual being born is a boy) =

(Number of males born ÷ Total number of children born)

=2265031÷(2265031+2287419) = 0.49754110424057

Therefore, the empirical probability that the individual being born is a male = 0.498

3 0

3 years ago

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Talja [164]

Hope it helps

Answer:

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3 years ago