Alberto can add all of the numbers of coins up to find the total number of coins. Now, you can add the recent total to 343 to get the FINAL amount of coins.
Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
1. x = 1 over 2 or you can simplify by writing x = 0.5
2.x = -1 over 3 or x= -0.3
3.x = -17
4.x = 9
5.x = 7
6.-4 over 9 or x = -0.4
7.x = 1 over 10 or x = 0.1
8.x = 1 over 4 or x = 0.25
9.x = -1
10.x = 13
hope this helps! :-)
Answer:
Step-by-step explanation:
Given expression:
Let u = (x - y):
To factor a quadratic in the form 
find two numbers that multiply to 
and sum to 
:
Therefore, the numbers are: -6 and -4.
Rewrite as the sum of these two numbers:
Factor the first two terms and the last two terms separately:
Factor out the common term (u - 2):
Substitute back in u = (x - y):
Simplify:
The points of the line that has a slope of -5 over 3 is (11,13) (8, 18). This can be computed using the formula of finding the slope of a line which m = y2-y2 over x2-x1. This is computed as follows:
m = 18-13 over 8 - 11
m= 5 over -3 or simplified to m= -5 over 3
