Answer:
6. If the x intercept is a then (a,0) is on the line. If y-intercept is b then (0,b) is on the line. Now you have two points of the line and can get its formula. The slope between thse points is m=(0−b)(a−0)=−b/a. So the equation of line is y=mx+b=−bx/a+b. Now rearrange as y+bx/a=b divide by b to get y/b+x/a=1
Sadly I can't get eight right now but once I do I will edit this.
Step-by-step explanation:
Answers:
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Explanation:
Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way
and so on. This process may take a while to reach 
There's a shortcut. The nth term of any arithmetic sequence is
We plug in 
and simplify
Then we can plug in various positive whole numbers for n to find the corresponding 
value. For example, plug in n = 2
which matches with the second term we found earlier. And,
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The notation 
refers to the sum of the first ten terms 
We could use either the long way or the shortcut above to find all 
through . Then add those values up. Or we can take this shortcut below.
The sum of the first ten terms is -85
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As a check for , here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that 
is correct.
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:
$4,194
Step-by-step explanation:
First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.
I think that the answer would be 2 if I am right
