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Lyrx [107]
3 years ago
15

Thank you for any help!

Mathematics
2 answers:
Amanda [17]3 years ago
4 0

<u>Answer:</u>

D. No. (0, 0) satisfies y>2x-1 but does not satisfy y\leq x^2-4.

<u>Step-by-step explanation:</u>

We are given the following system of equations and we are to determine if (0, 0) is its solution or not:

y\leq x^2-4

y>2x-1

Substituting the given point (0, 0) in both the equations to check if it satisfies them.

y\leq x^2-4 \implies 0\leq (0)^2-4 \implies 0\leq -4 - False

y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10 - True

Therefore, the correct answer option is D. No. (0, 0) satisfies y>2x-1 but does not satisfy y\leq x^2-4.

mash [69]3 years ago
3 0

The answer is D

0 is not less than or equal to -4, and in the second equation, 0 is greater than -1

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The square of a number decreased by 3 times the number 28 find all possible values for the number
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Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

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Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

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Let us solve the above quadratic equation

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Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

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