You can just plug in one of the points to each equation until you get an equality that is true.
I chose to use (-3,2)
1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)
2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)
3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)
So, the correct equation is 3x+5y=1.
Make sense?
60% - 3/5
Hope this help, don't really know what your expecting the answer to be
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
Given:
Suppose Paul receives a 6% raise every year.
To find:
After four such raises, the total percentage increase to the nearest whole percent.
The formula used to calculate percentage is: (value/total value)*100%.
Step-by-step explanation:
Step 1 of 1
Assume his salary is originally 100 dollars.
Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.
The next year he would have 119.1016 dollars and in the final year, he would have 126.247.
As the total increase is,
((126.247 -100)/100) *100
= 26.247%
the answer is 26%.
Answer:
55% or 0.55(as a decimal)
Step-by-step explanation:
40% of their clients buy auto insurance policies = P(A)
30% of their clients buy home insurance policies = P(H)
15% of their clients buy both home and auto insurance policies = P( A ∩ H)
The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as
P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)
= 40% + 30% - 15 %
= 70% - 15%
= 55%
Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55