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balu736 [363]
2 years ago
8

What are the ordered pairs of thesolutions for this system of equations? f(x) = x^2 – 2x + 3; f(x) = -6x

Mathematics
1 answer:
babunello [35]2 years ago
8 0

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

y = (-3)^2 - 2(-3) + 3

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

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We just need to get the perimeter of the backyard.

Whole rectangle: length = 7ft ; width = 5 ft

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7 0
3 years ago
7.
nika2105 [10]

Answer:

B. {–3, 5.9, 8.3}

Step-by-step explanation:

The domain is the set of all the values of  

x .The range is the set of all the values of  y .

Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }

Range: { − 3 , 5.9 , 8.3 }

Answer:

range is -3, 5.9 , 8.3

Step-by-step explanation:

{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

We are given with set of ordered pairs (x,y)

In each ordered pair, x is the domain and y is the range

for domain , take all the x  values (first number) from the ordered pairs

for range, take all the y value (second number) from the ordered pairs

y values of the ordered pairs are -3, 5.9, -3, 8.3

So range is -3, 5.9 , 8.3

3 0
3 years ago
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solniwko [45]
C. None of the x-values repeat.
4 0
3 years ago
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What is the equation of the linear function?
docker41 [41]

Answer:

y = mx+b

Step-by-step explanation:

5 0
3 years ago
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Which is the equation of a line that has a slope of -2/3 and passes through point<br> (–3, –1)?
andrey2020 [161]

Answer:

y=-2/3x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=-2/3(x-(-3))

y+1=-2/3(x+3)

y=-2/3x-6/3-1

y=-2/3x-2-1

y=-2/3x-3

3 0
2 years ago
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