Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
(f - g)(x) = f(x) - g(x), so
f(x) - g(x)
= 3x + 1 - (x² - 6) ← distribute by - 1
= 3x + 1 - x² + 6 ← collect like terms
= - x² + 3x + 7 → D
Answer:
The 12th day.
Step-by-step explanation:
Every four days: 4th, 8th, 12th.
Every three days: 3rd, 6th, 9th, 12th.
You just find lowest common multiple of four and three. Which just means the first multiple they share.
Hopes this makes sense!
Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° =
. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

Using a calculator, the answer would be:

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
Ratio of Cake Donuts to Total Donuts = 15/36
Let, the number of people with Cake donuts = x
Then, 15/36 = x/12
x = 12/36 * 15
x = 1/3 * 15
x = 5
In short, Your Answer would be: 5
Hope this helps!