Intersection means elements both have. Both sets have -1 but they have nothing else in common so the intersection is {-1}
Union means combining the sets so {-1, 1, 2, 3, 7} Note that I only wrote 1 twice. No duplicates allowed!
Answer/Step-by-step explanation:
4x - 7 = -2x + 12 (Given)
Add 2x to both sides
4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)
6x - 7 = 12 (Simplication)
Add 7 to both sides
6x - 7 + 7 = 12 + 7 (Addition property of equality)
6x = 19 (Simplification)
Divide both sides by 6
(Division property of equality)
Answer:
Step-by-step explanation:
<u>Finding the smaller side</u> :
⇒ P = 2(l + w)
⇒ 20 = 2(6 + w)
⇒ 6 + w = 10
⇒ w = 4 cm
<u>Finding area</u> :
⇒ 6 × 4
⇒ 24 cm²
The kite is 1500 feet above the ground
Step-by-step explanation:
Here's the first question and how to solve the second.
So the first business start with 250, that's your b in slope.
y = mx + b
y = mx + 250
Now, they charge 14 an hour so that's your m.
y = 14x + 250
x is the number of hours it takes.
The second business is straight up 22 per hour, so it's just y = mx, where b is 0.
y = 22x VS y = 14x + 250
Try plugging in different numbers and seeing how much it take to level out!
