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3 years ago

Y = -3x+4 and y= 1/2x-3

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

{x = 2 , y = -2

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

{y = x/2 - 3 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

{-x/2 + y = -3 | (equation 2)

Add 1/6 × (equation 1) to equation 2:

{3 x + y = 4 | (equation 1)

{0 x+(7 y)/6 = (-7)/3 | (equation 2)

Multiply equation 2 by 6/7:

{3 x + y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 6 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 2 , y = -2

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3 years ago

Approximately 40% of the calls to an airline reservation phone line result in a reservation being made. (round to three decimal

IRISSAK [1]

Answer:

The probability that none of the 10 calls result in a reservation is 0.60%. In turn, the probability that at least one call results in a reservation being made is 99.40%.

Step-by-step explanation:

Since approximately 40% of the calls to an airline reservation phone line result in a reservation being made, supposing an operator handles 10 calls, to determine what is the probability that none of the 10 calls result in a reservation, and what is the probability that at least one call results in a reservation being made, the following calculations must be performed:

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2 years ago

A rectangular table top has dimensions as 1.52m and 0.75m. Find the perimeter in cm

Elis [28]

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is $1.52+1.52+0.75+0.75= 4.54$ m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is $4.54\cdot 100 = 454$ cm.

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3 years ago

The sum of two numbers is five. If n is used to represent the smaller number, translate "three less than two times the larger nu

mojhsa [17]

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3 years ago

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zavuch27 [327]

Answer:

Step-by-step explanation:

-2.5 × -20

negative multiply negative equals positive

(-) × (-) = (+)

so, the answer would be positive.

-2.5 × -20

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2 years ago