Step-by-step explanation:
1) -5x<35
we divide both sides by 5
-5x/5<35/5
-x<7
we divide both sides by-1 to remove the negative sign
-x/-1<7/-1
x<7/-1
2) 2x>-42
we divide both sides by 2
2x/2>-42/2
x>-21
3) x/3≤-7
we multiply by 3 and we cancel 3
3(x/3)≤3(-7) we cancel the 3
x≤-21
4) x/-4≥-4
we do the same thing
x≥1
Answer:
5x-2
Step-by-step explanation:
Since f(x)-g(x) you take 3x+2 and subtract -2x-4.
3x+2+2x-4
5x-2
In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
Answer:
3
Step-by-step explanation:
5+3=8 and on a number line 5 and 8 and 3 numbers away
Answer:
a.) Probability = 1/5
b.) 10 soda
Step-by-step explanation:
Probability is a game of chance.
The initial chance = 1/12
If Lucky Lucy bought five sodas and won a free one with four of the caps. The probability of that happening will be 1/5
Having a greater than 50% chance of winning a free soda means having probability greater than half. That is,
Probability > 1/2
You would have to buy (12 - 2) soda. Which is equal to 10.
