Is (0,0) a solution of the system y>x and x+y>0?

1 answer:

8 0

Plug the values (x,y)=(0,0) into the inequalities:

$y\ \textgreater \ x \\
0\ \textgreater \ 0 \\
not \ true \\ \\
x+y\ \textgreater \ 0 \\
0+0\ \textgreater \ 0 \\
0\ \textgreater \ 0 \\
not \ true$

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.

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Answer

• A. Equation: 25(5 + x) = 325

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is: