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2 years ago

Determine the point that lies on the equation y = -5x - 3.

Mathematics

1 answer:

scZoUnD [109]2 years ago

8 0

Answer:

(4, -23)

Step-by-step explanation:

We are given;

The equation, y = -5x -3

We are needed to determine the point that lies on the equation;

We need to know that for a point to be lying on the equation it must satisfy the equation.
This means when we use the value of x in the equation we should get the exact value of y of the given point;

Therefore, in this case;

Point (4, -23)

Replacing x = 4 in the equation;

y = -5(4) - 3

= -23

Therefore, the point lies on the equation as the point satisfies the equation

Thus, the required point is (4, -23)

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2 years ago

Let A be a set of numbers.

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Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

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$xy=(5m)(5n)=25mn=5(5mn)$

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$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

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Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

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$x+y$ ∉ A

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$xy$ ∈ A

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Also,

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Let $x,y$ ∈ A such that $x=17n,y=17m$

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$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

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