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3 years ago

The solution set is ???write answer in interval notation .

Mathematics

1 answer:

ElenaW [278]3 years ago

6 0

Answer:

(-∞,1)U(7, ∞)

Step-by-step explanation:

-2r+8>3+3r

-5r>-5

r<1

2-2r>9-3r

r>7

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Find the area of a circle with radius, r = 7.49m. Give your answer rounded to 2 DP.

adell [148]

Answer:

Area ≈ 176.24m²

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3 years ago

Describe the solutions for the quadratic equation shown below:

PtichkaEL [24]

The solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

To determine the the type of roots the quadratic equation 9x² - 6x + 5 = 0, we use the quadratic formula to find the roots.

So, for a quadratic equation ax + bx + c = 0, the roots are

$x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

With a = 9, b = -6 and c = 5, the roots of our equation are

$x = \frac{-(-6) +/- \sqrt{(-6)^{2} - 4 X 9 X 5} }{2 X 9} \\x = \frac{6 +/- \sqrt{36 - 180} }{18} \\x = \frac{6 +/- \sqrt{-144} }{18} \\x = \frac{6 +/- \sqrt{-12} }{18}\\x = \frac{6}{18} +/- i\frac{12}{18} \\x = \frac{1}{3} +/- i\frac{2}{3} \\x = \frac{1 + 2i}{3} or \frac{1 - 2i}{3}$

Since the roots of the equation are (1 + 2i)/3 and (1 - 2i)/3, there are 2 complex roots.

So, the solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots

Learn more about quadratic equations here:

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3 years ago

An edge can represent ______? A) A stoplight B) A train C) A highway

DiKsa [7]

I would say A) a spotlight cause ussually spotlights are at the end/edge of a road.

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3 years ago

Identify the key characteristics of the exponential function. y = 2(1)"

Zielflug [23.3K]

Answer:

2x1 mabe

Step-by-step explanation:

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2 years ago

A gambler pays $5 to play a game of dice. he rolls two dice. if he rolls a sum of 10 the house pays him $10; if he rolls a sum o

Rom4ik [11]

Rolling 2 dice there are 36 possible outcomes.

Sum of 10: 4, 6; 5, 5; 6, 4

3 outcomes have a sum of 10.

Sum of 3: 1, 2; 2, 1

2 outcomes have a sum of 3.

Each play costs $5.

If he rolls a sum of 10, he wins $10, but he paid $5 to play, so for each roll of a sum of 10 he earns $5.

If he rolls a sum of 3, he wins $20, but he paid $5 to play, so for each roll of a sum of 3 he earns $15.

For all the other 31 possible sums, he loses $5.

Add: 3 * $5 + 2 * $15 - 31 * $5 = $110

Now divide the sum by the total number of outcomes.

$110/36 = -$3.05555...

Answer: -$3.06

3 0

3 years ago