The point (5,-2) is a solution to this system 5x-y=27 -3x+4y=-23. true or false?

Mathematics

1 answer:

zzz [600]2 years ago

8 0

Answer:

True

Step-by-step explanation:

To determine if (5, - 2 ) is a solution to the system , substitute the values of x and y into the left side of both equations and if equal to the right side then it is a solution.

5(5) - (- 2) = 25 + 2 = 27 = right side

- 3(5) + 4(- 2) = - 15 - 8 = - 23 = right side

the point (5, - 2 ) makes both equations true then is a solution to the system.

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pychu [463]

Answer:

144?

Step-by-step explanation:

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3 years ago

The changing speed of a car is modeled by the function S(t) = −35t + 30, where t is time in seconds. Interpret the model

Flauer [41]

The car has an initial speed of 30 units and is slowing down by 35 units per second ⇒ answer C

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

m is the rat of change
b is the initial value

The changing speed of a car is modeled by the function s(t) = -35t + 30, where t is time in seconds.

We need to interpret the model

∵ The changing speed of a car is modeled by s(t) = -35t + 30

- Compare between the model and the form of the linear function

∴ m = -35 and b = 30

∴ The initial speed is 30 units

∴ The speed is changing by -35 units per second

- If the value of change of the speed is negative, means the

car is slowing down by this rate

∴ The car is slowing down by 35 units per second

The car has an initial speed of 30 units and is slowing down by 35 units per second

Learn more:

You can learn more about linear function in brainly.com/question/4326955

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7 0

3 years ago

Divide by using long division. (x²-x-6) = (x-3)

Fudgin [204]

Answer: x + 2

Step-by-step explanation:

Given the equation to solve by long division :

Divide x² - x - 6 by x - 3

x in the divisor is used to divide the x² in the Dividend to obtain a value of x as the quotient. The quotient value is multiplied by each value in the Dividend and so on.

This steps taken obtain the quotient is clearly shown in the picture attached.