Ok so you multiply -3 on both sides so on the right it is -48 and then the left the -3 is cancelled out and so you are left with -6+c . You add 6 on both sides and so it is -42=c so c=-42
This whole ugly thing is just 6 numbers that are all multiplied.
Here they are:
(-7) · (x⁶) · (y⁻³) · (5) · (x⁻¹) · (y) .
To help you see what's going on, I'm going to rearrange them
and write them in a different order. (You'll remember that when
you multiply, the order of the numbers doesn't matter.)
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
I'll bet you can see it already. It's really starting to fall apart.
Remember that when you have to multiply the same base to
different powers, you just add the powers.
So here's the multiplication:
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
| | |
-35 · x⁵ · y⁻²
-35 x⁵ y⁻²
or you could write it as -35x⁵ / y² which is the same thing.
Radius of of circle = y/2 = 6
Area of semicircle = πr^2/2 = 3.14*6^2/2 = 56.52 square feet
Area of rectangle = xy =240 square feet
Area of figure = 240 + 56.52 = 296.52 square feet
Answer:
Denote:
Probability of not owning a car: P(A) = 0.35
Probability of being older than 30: P(B) = 0.6
Probability of not owning a car and being older than 30: P(A⋂B) = 0.21
=> Probability of either not owning a car or being older than 30:
P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.35 + 0.6 - 0.21 = 0.74
=> Option D is correct
Hope this helps!
:)