Which of the following is a solution of y > |x| - 5? a.(4, -1) B.(-1, -4) C.(-4, 1)

1 answer:

8 0

Fill your inequality in with the y and x provided and then do the math. (4, -1) would fill in like this (I will use brackets to indicate absolute value symbols, since there are none in the equation editor): $-1\ \textgreater \ [4]-5$ The right side is in fact equal to the left side so that's not the answer. For (-1, -4): $-4\ \textgreater \ [-1]-5$ and these are also equal. Let's try C now (-4, 1): $1\ \textgreater \ [-4]-5$ . The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1. So C is our answer.

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How do I solve this equation

Anestetic [448]

-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5

Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0

3 years ago

Ryobi Limited sold a set of saws to Ace Hardware. The list price was $3,800. Ryobi offered a chain discount of 8/3/1. What's the

laila [671]

Answer: Option 'B' is correct.

Our net price will be $3357.21.

Explanation:

Since we have given that

The list price of set of saws = $3800

There are 3 successive discounts :

8%,3%,1%

So, if we apply first for 8% discount our new price becomes,