Answer:
x = 13
Step-by-step explanation:
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
Answer:
∅=6°
Step-by-step explanation:
we have that the distance from the edge of the cliff to the lake is 48 feet, and when the stone is thrown into the lake it collides with the water 5 feet from the base of the cliff so you must find the distance that the stone travels from the edge of the sewer up to 5 feet beyond its base (hypotenuse) and then the angle that forms it (slope)
Hypotenuse (c)
:
Slope ∅
Sin∅ = 5ft/48.25ft = 0.1036
∅=arcsin(0.1036) ≅ 5.9°, but how should we round to the nearest integer
, then:
∅=6°
Answer:
We have 10 sections, we can assume that the probability of hitting each of one of them is the same.
we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:
P(X) = 9/10 = 0.90
The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:
P(not X) = 1/10 = 0.10
Also, when you have only two events, you can calculate this as:
P(not X) = 1 - P(X) = 1 - 0.90 = 0.10
