Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Part A: The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B: the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1 -2 <4 (-2) - 2
-2 <-10 (false)
inequality two -2> = - (5/2) (- 2) - 2
-2> = 3 (false).
Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.
That means all we need to do is calculate what is 70% of $2075.
Convert 70% into decimal form which is 0.70.
Next, multiply $2075 by 0.70.
$2075*0.70 = $1452.50
The price the travel agent found was $1452.50
Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).
I don't know how to answer the first part but i'll solve it.
5(3+7)-5
5(10)-5
5x10-5
50-5
45
P MO LP LP LP o look pop or pop pop o m op ok MN l opl