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3 years ago

Is (2,-1) a solution of y≥2x+5?

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

Answer:

Not a solution

Step-by-step explanation:

y ≥ 2x + 5

=> Substituting x = 2 and y = -1 in Equation,

=> -1 ≥ 2(2) + 5

=> -1 ≥ 4 + 5

=> -1 ≥ 9 [Not possible]

Therefore, (2,-1) is not a solution of y ≥ 2x + 5

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pickupchik [31]

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Step-by-step explanation:

k = 10 + - 24

k = -14

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4 years ago

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I have a lot of questions like this, and I know the formula but I still get it wrong!

andrezito [222]

Answer: 4

Step-by-step explanation: use pick’s theorem to solve.

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3 years ago

Which is the greatest common factor of the expression below? 32a²b2 + 36a²c2 – 16ab3

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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Virty [35]

Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3>Solution:</h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

Expanding the above expression using algebraic identity:

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

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3 years ago