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ser-zykov [4K]
3 years ago
7

4 QUESTIONS FOR 50 POINTS!!!!!! PLEASE HELP!!

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

The graph<span> of an </span>inequality in two variables<span> is the set of points that represents all solutions to the </span>inequality<span>.
 
A </span>linear inequality<span> divides the coordinate plane into </span>two <span>halves by a boundary line where one half represents the solutions of the </span>inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.<span>A way to solve a linear system algebraically is to use the substitution method. 

</span>The graphs of equations<span> within a </span>system<span> can </span>tell<span> us how </span>many solutions<span> exist for </span>Infinite Solutions<span>. </span>If <span>the graphs of the </span>equations<span> intersect, then there is </span>one solution<span> that is true for  Looking at the graph does </span>not tell<span> us exactly where that point is, but we don't So a </span>system<span> made of two intersecting lines </span>has one solution.
Two equations that have the same solution are called equivalent<span> equations e.g. The addition </span>property<span> of equality tells us that adding the same number to. We can also </span>use<span> this example with the pieces of wood to explain the </span><span>are </span>equal<span> as well.</span>


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Jazz and Catherine can eat 50 pounds bag of peanuts in 30 days jazz himself it's 50 pounds of peanuts two weeks last time then C
Cerrena [4.2K]

Answer:

  67.8 days

Step-by-step explanation:

We assume the problem statement is supposed to read ...

Jazz and Corbin can eat 50 pounds of peanuts in 30 days. Jazz by himself eats 50 pounds of peanuts in two weeks less time than Corbin does by himself. How many days will it take for Corbin to eat the 50 pounds of peanuts by himself?

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Let c represent the number of days it takes Corbin to eat 50 lbs of peanuts. Then c - 14 will be the number of days it takes Jazz to eat 50 lbs of peanuts. Working together, they eat 50 lbs of peanuts in 30 days, so ...

  Jazz's peanuts per day + Corbin's peanuts per day = total peanuts per day

  50/c + 50/(c-14) = 50/30

Multiplying by (3/5)c(c-14), we get ...

  30(c -14) + 30c = c(c -14)

Subtracting the left side gives ...

  c^2 -14c -60c +420 = 0

  c^2 -74c +1369 = 1369 -420 . . . . subtract 420, add 1369 to complete the square

  (c -37)^2 = 949 . . . . . . . . . write more compactly

  c = 37 +√949 ≈ 67.8 . . . . square root and add 37

It will take 67.8 days for Corbin to eat 50 lbs of peanuts by himself.

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Step-by-step explanation:

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Now we can subtract 2 from both sides.

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Next, we can divide each side by 5.

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3 years ago
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