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julia-pushkina [17]
1 year ago
15

Which graph shows the solution to the system of linear inequalities below?

Mathematics
1 answer:
Talja [164]1 year ago
5 0

The graph that shows the solution set for the system of inequalities is graph C.

<h3>Which is the graph of the system of linear inequalities?</h3>

Here we have the system of linear inequalities:

y < (-1/3)*x + 1\\\\y \geq  2x- 1

For the first one, we can see a line with a negative slope, and y is strictly smaller than that. So we will have a dashed line that goes down, and we need to shade the region below that line.

For the second inequality, we can see that y can be equal to or larger than the line, so this time we will use a solid line (because the points on the line are solutions). and we will shade above that line.

Also notice that this time the slope is positive, so this line goes upwards.

With that general description, we conclude that the correct option will be graph C.

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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Answer:

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The sum of these fractions is between which two whole numbers? 3 4/6 1 3/6    4&amp;5 5&amp;6 6&amp;7 or 7&amp;8
umka21 [38]
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3 years ago
A medical company tested a new drug on 100 people for possible side
zzz [600]

Answer:

Step-by-step explanation:

The given information is expressed as

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Total 29 71 100

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5 0
3 years ago
A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
Andrew [12]

Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

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3 years ago
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