Answer: The answer is at the bottom.
Step-by-step explanation:
Write
x
|
x
|
<
7
as a piecewise.
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{
x
2
<
7
x
≥
0
−
x
2
<
7
x
<
0
Solve
x
2
<
7
when
x
≥
0
.
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0
≤
x
<
√
7
Solve
−
x
2
<
7
when
x
<
0
.
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x
<
0
Find the union of the solutions.
x
<
√
7
The result can be shown in multiple forms.
Inequality Form:
x
<
√
7
Interval Notation:
(
−
∞
,
√
7
)
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
Let's first find the slope. Below is how you find the slope using two points:
The formula for slope is
In this case we have the two points:
(-1, -5) and (-3, -7)
This means that:
^^^Plug these numbers into the formula for slope...
1
^^^This is your slope
This is the formula we have so far:
y = 1x + b
OR
y = x + b
Now we must find b
To do that you must plug in one of the given points the line goes through in the x and y of the equation.
(-1, -5)
-5 = 1(-1) + b
-5 = -1 + b
-4 = b
(D) y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes
