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stich3 [128]
3 years ago
6

Is the graph of the linear inequality y > -x - 3?

Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

Second Graph

Step-by-step explanation:

Given the linear inequality, y > -x - 3, an easier way of determining its graph is through a test point.

A test point is an ordered pair that is not on the actual line of the graph. The point of origin, (0, 0) is often used for this purpose.

Substitute the values of (0, 0) into the linear inequality to find out whether it satisfies the given inequality statement:

y > -x - 3

0 > - (0) - 3

0 > - 0 - 3

0 > -3 (True statement). Therefore, the shaded region must contain the test point since it is one of the solutions to the given linear inequality.

Hence, the correct answer is the second graph.

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Five-card poker hand is dealt at random from a standard 52-card deck.
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Answer:

Step-by-step explanation:

a) The probability that the hand contains exactly one ace

No of ways of selecting one ace and four non ace would be

=4C1 (48C4)\\\\= 778320

i.e. α=778320

b) the probability that the hand is a flush

No of ways of getting a flush is either all 5 hearts or clubs of spades or dice

= 4(13C5) = 5148

ie. β=5148

c)  the probability that the hand is a straight flush

In each of the suit to get a straight flush we must have either A,2,3,4,5 or 2,3,4,5,6, or .... or 9,10, J, q, K

So total no of ways = =9(13C5) 4\\= 46332

γ=46332

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3 years ago
What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?
Mashcka [7]
Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
3 0
3 years ago
Solve the following quadratic equation for all values of x in simplest form.
Lynna [10]

Step-by-step explanation:

x = 2/5 or x = 0 Hope that will help

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2 years ago
A human heart beats an average of 80 beats per minute. How many heart <br> beats is this in a day
vovangra [49]

Answer:

115200

Step-by-step explanation:

80 Beats Per Minute <em><u>x</u></em> 60 Minutes (1 hour) <em><u>x</u></em> 24 Hours (1 Day) = 115200

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3 years ago
The answer to this question
Sophie [7]

The answer to this question is D) 13.9 in.

Try using the Pythagorean theorem when solving to get the hypotenuse or other angles for a right triangle.

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