Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
Answer: Option B
Step-by-step explanation:
First we assign a name to the events:
Event S: a customer buys socks
Event H: a customer buys shoes.
We know that :
We also know that the probability of S given that H occurs is:
If two events S and H are independent then:
This mean that if two events S and H are independent then:
We know that:
and
This means that S and H events are dependent.
The answer is the option B
The sum of the angles in a pentagon is 540°.
This means that each angle is 108°.
Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.
Angles in a triangle add up to 180°.
B and D will be the same size as this is isosceles.
180°-108° = 72°
This is B and D. You only need one of these, so you divide by 2.
The answer is 36°.
Hope this helps :)
Answer:
4 3/4
Step-by-step explanation:
= (8 - 3) + (1/4 - 1/2)
= 5 + 1/4 - (1 x 2 over 2 x 2)
= 5 + 1/4 - 2/4
= 5 and (1/2 over 4)
= 5 + -1/4
= 4 3/4
