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uranmaximum [27]
3 years ago
7

What are the solutions to the following system of equations? Select the correct answer below. y = x^2 − 4x + 3 2x + y = 6

Mathematics
1 answer:
ELEN [110]3 years ago
7 0
2x+y=6

y=6-2x and y=x^2-4x+3

The solution occurs when they are equal so we can say y=y which is:

x^2-4x+3=6-2x  add 2x to both sides

x^2-2x+3=6  subtract 6 from both sides

x^2-2x-3=0  factor

(x+1)(x-3)=0

So x=-1 and 3, using y=6-2x we find the corresponding y values...

y(-1)=6--2=8, y(3)=6-6=0 so the two solutions are the points:

(-1,8) and (3,0)
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0.76 as a mixed number
melisa1 [442]

Answer:

19/25

Step-by-step explanation:

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3 years ago
If f(x) = 2x + 3, what is f(-2)?<br>evaluate a linear function​
jok3333 [9.3K]

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The answer is bellow

Step-by-step explanation:

The -2 is the x so you would put it in like so

2(-2) + 3

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3 years ago
What is the value of 3/7 x 5/21
larisa86 [58]

Answer:

5/49

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Can someone please help me please. It's system problem solving.
alexdok [17]
W + P = 10
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7 0
3 years ago
Sara is moving into a new apartment. The Resort complex charges a $600 security
vazorg [7]

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

c_{resort}(t) = 600 + 950*t

The Uptown Suites Duplex:

c_{uptown}(t) = 300 + 1100*t

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

c_{resort}(t) = 600 + 950*6 = 6300

c_{uptown}(t) = 300 + 1100*6 = 6900

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

5 0
3 years ago
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