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Daniel [21]
3 years ago
10

The solution set of x^2-2x-8=0

Mathematics
1 answer:
kari74 [83]3 years ago
3 0

x2−2x−8=0

Factor left side of equation.

(x+2)(x−4)=0

Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

Answer:

x=−2 or x=4

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Solve the equation.<br><br> t-12=3
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PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0
3 years ago
Gianni added 1 3/4 cup of pecans and 1 1/3 cup of walnuts to a recipe. How many cups of nuts did Gianni add to the recipe? I NEE
NikAS [45]
C - 3 1/12

Get a common denominator

3*3 / 4*3 + 1*4 / 3*4

Simplifies into 9/12 + 4/12

Adds to 13/12. 

12 goes into 13 1 time, leaving us with 1 1/12

Add the 1 to the 2 full cups that already existed in the original problem - 3 1/12
5 0
3 years ago
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