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r-ruslan [8.4K]
2 years ago
10

What is the solution of the inequality 9 - x^2<0?

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
5 0

Answer:

x < -3\quad \mathrm{or}\quad \:x > 3

Step-by-step explanation:

Given:

9-x^2 < \:0

Solve:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}

9-x^2-9 < 0-9

\mathrm{Simplify}

-x^2 < -9

Multiply\:both\:sides\:by\:-1\:

\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)

\mathrm{Simplify}

x^2 > 9

\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}

x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}

\sqrt{9}=3

x < -3\quad \mathrm{or}\quad \:x > 3

<u><em>~lenvy~</em></u>

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Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought
djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 \times 2 = $6.5

Price of two drink = $1.85 \times 2 = $3.70

Price of two bags of popcorn = $0.99 \times 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0
3 years ago
What's the expression for the sum of two and the quotation of a number x and five ??
7nadin3 [17]
X + x = 2
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3 0
3 years ago
What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
balu736 [363]

Answer: The center is (-7, 4) and the radius is 7.

Step-by-step explanation:

The equation for a circle usually is:

(x - a)^2 + (y - b)^2 = R^2

where R is the radius, and (a, b) is the center of the circle.

I guess that the equation in this case is:

(x + 7)^2 + (y - 4)^2 = 49

then, in this case we have:

a = -7 and b = 4, then (a, b) = (-7, 4)

this means that the center of our circle is in the point (-7, 4)

and we know that:

R^2 = 49

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Then the radius is equal to 7.

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3 years ago
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3 years ago
Does anyone know this?
Ilia_Sergeevich [38]

Answer:

a is 7

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