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vagabundo [1.1K]
1 year ago
6

Solve the system and enter the smallest x-coordinate first

Mathematics
1 answer:
ankoles [38]1 year ago
4 0
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5

Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
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working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to
allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0
3 years ago
PLEASE HELP I BEG YOU I REALLY NEED HELP FEW QUESTIONS :(
pantera1 [17]
Number 2 for question 1 and number 4 for question 2
6 0
3 years ago
michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches
belka [17]

Answer:

  • 1695.6 in³

Step-by-step explanation:

<em>Cylinder volume formula: V= πr²h</em>

<u>Given</u>

  • h = 15 in
  • r = 6 in

<u>Volume of soup pod</u>

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8 0
3 years ago
Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandw
pav-90 [236]
If we are to consider the number of slices of bread first,

      number of sandwiches = (28 slices of bread)(1 sandwich/ 2 slices of bread)
      number of sandwiches = 14 sandwiches

If we are to consider the number of slices of cheese
 
      number of sandwiches = (45 slices of cheese)(1 sandwich / 3 slices of cheese)
     number of sandwiches = 15 sandwiches

Since, 14 is smaller than 15 then, 14 is the answer.

<em>Answer: 14 sandwiches</em>
7 0
3 years ago
Read 2 more answers
The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x &lt; -1
kondaur [170]

9514 1404 393

Answer:

  g(x) = -√(x -2) -1

Step-by-step explanation:

We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).

The inverse function is the solution to ...

  x = f(y)

  x = (y +1)² +2

  x -2 = (y +1)²

  -√(x -2) = y +1 . . . . . . . we are interested only in the negative values

  y = -√(x -2) -1

The inverse function is ...

  g(x) = -√(x -2) -1

3 0
3 years ago
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