Hey there!
For the left side, we are going to use the distributive property, which means:
a(b+c) = ab+ac
Therefore, we have:
4y + 8 = 32
Subtract 8 from both sides.
4y = 24
Divide both sides by 4 to get:
y = 6
I hope this helped you! :)
Answer:
x=10;y= -8
Step-by-step explanation:
A: x+y=2
B: -3-y=5 ---> y=-3-5=-8
so
A is : x+(-8)=2
x=2-(-8)=2+8=10
Answer:
A. The source of energy for the water cycle is the sun.
B. Condensation would be the process that changes the water vapor into water droplets that form the cloud.
C. Arrow X would be runoff
Answer:
18r
Step-by-step explanation:
since they both have r as their variable, they're like terms, meaning you can combine them
so 13+5 = 18
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
