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mihalych1998 [28]
3 years ago
10

Would -x - 3y = -1 convert into y = -1/3 x - 1/3​

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

Yes, -x - 3y = -1 is the same as y = -1/3x - 1/3

Step-by-step explanation:

-x - 3y = -1

Add x to both sides which gives you

-3y = x-1

Divide both sides by -3 which gives you

y = -1/3x-1/3

Reminder whatever you do to one side you have to do to the other side!

Hope this helps!

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George used the diagram below to help determine 30% of 60. Which expression could George have used?
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Answer:

(3)(6)

Step-by-step explanation:

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Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



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3 years ago
What is the interquartile range for the data set 12,14,16,16.5,11,18,18,14,20
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James earns 20 allowance every month and 30 for each a on his report card
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Answer:

Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.

Part B - y = 30x + 20

Step-by-step explanation:

7 0
2 years ago
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