It is two units shifted downwards. you can see it by substituting x=0 for both equations
For the 1st problem, solve the 2nd equation for x.
x = -1 - y
Now, replace x in the 1st equation with (-1 - y)
2(-1 - y) - 3y = 2
-2 - 2y - 3y = 2
-2 - 5y = 2
-5y = 4
y = -4/5
x = -1 - (-4/5) = -1 + (4/5) = -1/5
The solution is (-1/5, -4/5)
For the 2nd problem, multiply the top equation by 15 and the bottom equation by -12. That gives us:
10x - 12y = 15
-36x +12y = 84
Add the two together, which gives us:
-26x = 99
x = -99/26
Now, put this value of x into either equation to solve for y
3(-99/26) - y = -7
-297/26 - y = -7
-y = -7 + 297/26
-y = 115/26
y = -115/26
The solution to this system is (-99/26, -115/26)
Answers:
The next two terms are 67.5 and 101.25 in that order.
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Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
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fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
Answer:
She makes 30 portions.
Step-by-step explanation:
To find, you would multiply the amount of tuna you need by the number of onions nicole used.
6/5x2 = 12/5
12/5 ÷ 2/5 = 6
6x5 = 30
She makes 30 portions.
