Answer:
x = 3
Step-by-step explanation:
8 - 2x = 2
- 2x = 2 - 8
- 2x = - 6
- x = - 6/2
- x = - 3
x = 3
You flip is when you mulitply the whole equation by a negative
not when you distribute a negative
if yo had
-3(x+4)>x
you wouldn't flip the negative symbol when distributing then -3
but if you had
-3(x+4)>-x
you would eventually have to multiply by -1 to make +1x
because they will be differente
exaple
12>3 is true
if yo multiply negative
-12>-3 is fale
-12<-3 is true
anothe rexample with placeholders
x<x+2
mulitply -1
-x>-x-2
false
-x<-x-2
true
that is why we flop the inequality symbole
Answer: The answer would be -13! :)
Explanation:
5(-2) - 3(2) - (-3)
-10 - 6 + 3
-16 + 3
-13
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
You have $8.95 per person with 12 people
so you would need to multiply 8.95 and 12
8.95 · 12 = 107.40
the party costs $107.40
