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weqwewe [10]
4 years ago
6

У = 3х - 2 4х – 4у = -8

Mathematics
1 answer:
Lelechka [254]4 years ago
6 0
For this equation I would assume you use substitution, you plug in what y equals (3x -2), for the y in the second equation (4x - 4y = 8), you now have 4x - 4(3x-2) = -8 you then proceed to factor out this equation, you distribute the -4 and now you have 4x -12x + 8 = -8 you then subtract the -12x from the 4x and the result is -8x + 8 = -8, you then proceed to isolate the x subtracting the 8 from both sides and you now have -8x =-16 you then isolate the x by dividing -8 from both sides, your results are x = 2, you answer isn’t negative 2 because when you divide two negatives they cancel out creating a positive number.
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What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?
LekaFEV [45]
Something funny is that the x value of the vertex lies directl in the middle of the x intercepts
so
we see the x intercepts or 0's at x=8 and 2
the average is x=5
so find f(5) to find the y value of the vertex
f(5)=(5-8)(5-2)
f(5)=(-3)(3)
f(5)=-9

vertex is at (5,-9)

the actual way the teacher wants is to expand then compltete the square to get into the form f(x)=a(x-h)^2+k where the vertex is (h,k)
but whatever


verrtex is at (5,-9)
7 0
4 years ago
Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

8 0
3 years ago
Use the quadratic formula to solve 2x^2 + 2x - 12?
Firdavs [7]

Answer:

Step-by-step explanation:

(x+2)(x-3)

8 0
3 years ago
Read 2 more answers
If 8(a + b) = 48, what is the value of a + b?
Cloud [144]

Answer:

8(a + b) = 48 \\  \\ a + b =  \frac{48}{8}  \\  \\ a + b = 6

I hope I helped you^_^

5 0
3 years ago
Help! Help!
Nina [5.8K]

Answer:

1. 50%

2.100%

3.0%

4.100%

Step-by-step explanation:

Use https://www.mathsisfun.com/data/standard-deviation-calculator.html for later references.

8 0
4 years ago
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