Which system of inequalities has this graph as it’s solution

Mathematics

1 answer:

Nutka1998 [239]3 years ago

5 0

Answer:

Option (B)

Step-by-step explanation:

In the graph attached,

Two lines graphed have the equations as,

y = 2x - 3 [A line having y-intercept as (-3)]

$y=\frac{1}{3}x+4$ [Line having y-intercept as (4)]

Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].

Now shaded region will decide the signs of the inequalities.

Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,

y > 2x - 3

Since, shaded region of $y=\frac{1}{3}x+4$ is above the line, inequality showing this region will be,

$y>\frac{1}{3}x+4$

Therefore, Option (B) will be the answer.

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missy bought 4 bags of chocolates. each bag had 8 pieces of chocolate in it . after her kids ate 6 of the chocolate missy packed

Novay_Z [31]

Answer:

There will be 2 numbers of individual bags of chocolates left with Missy.

Step-by-step explanation:

Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.

Therefore, there was a total (4× 8) = 32 chocolates.

Now, her kids ate 6 of the chocolates.

So, there remains (32 - 6) = 26 chocolates left.

If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be $\frac{26}{13} =2$ numbers of individual bags of chocolates left with Missy. (Answer)