grani 1 find Tic se pC 7nea arr yhmedansanrum s yAK1 4sy2XR

grani #1 find Tic se pC, -7nea arr ,,,y.hmedans,anrum s): y.AK-1 ·4)\'sy-2X-R , c)-vx Afxth

Solution

1a)
4(x - 2) = -x + 2
4x - 8 = -x + 2
4x + x = 2 + 8
5x = 10
x = 10/5
x = 2

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1b)
-4 <= x < 10

This in interval form is
x E [-4 , 10)

And if you need to graph, then draw the line between x = -4 and x = 10
and then place a closed dot on -4 to signify that it can
equal -4 and an open dot on 10 to signify that it cannot equal 10

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2c)
Factoring :
x^2 = 4x
x^2 - 4x = 0
x(x - 4) = 0
x = 0 and x- 4 = 0
x = 0 and x = 4

Quadratic formula :
a = 1, b = -4 and c = 0

So, -b +/- sqrt(b^2 - 4ac) / 2a becomes :

4 +/- sqrt(16 - 0) / 2(1)

4 +/- sqrt(16) / 2

(4 +/- 4)/2

(4 + 4)/2 , (4 - 4)/2

x = 4 , 0

Completing the square :
x^2- 4x = 0
b = -4
The rule is to add (-b/2)^2 to both sides....
So, adding (-4/2)^2 ---> (-2)^2 ---> 4

x^2 - 4x + 4 = 0 + 4

(x - 2)^2 = 4

Square rooting :

x - 2 = 2 , x - 2 = -2

x = 0 and x = 4

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4)
(-1 , -6) and (2 , 3)
Slope = (y2 - y1) / (x2 - x1)
m = (3 - (-6)) / (2 - (-1))
m = (3 + 6) / (2 + 1)
m = 9 / 3
m = 3

Now, we have
y - y1 = m(x - x1)

y - 3 = 3(x - 2)

y - 3 = 3x - 6

y = 3x - 6 + 3

y = 3x - 3 ----> ANSWER