1.The correlation coefficient is close to B. 0.50
we can conclude that Amélie's cake sales are affected by the daily temperature. <span>A. Strongly</span>
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
X=3
Let's solve your equation step-by-step.
−
|
x
−
4
|
+
2
=
−
2
x
+
7
Step 1: Add -2 to both sides.
−
|
x
−
4
|
+
2
+
−
2
=
−
2
x
+
7
+
−
2
−
|
x
−
4
|
=
−
2
x
+
5
Step 2: Divide both sides by -1.
−
|
x
−
4
|
−
1
=
−
2
x
+
5
−
1
|
x
−
4
|
=
2
x
−
5
Step 3: Solve Absolute Value.
|
x
−
4
|
=
2
x
−
5
We know either
x
−
4
=
2
x
−
5
or
x
−
4
=
−
(
2
x
−
5
)
x
−
4
=
2
x
−
5
(Possibility 1)
x
−
4
−
2
x
=
2
x
−
5
−
2
x
(Subtract 2x from both sides)
−
x
−
4
=
−
5
−
x
−
4
+
4
=
−
5
+
4
(Add 4 to both sides)
−
x
=
−
1
−
x
−
1
=
−
1
−
1
(Divide both sides by -1)
x
=
1
x
−
4
=
−
(
2
x
−
5
)
(Possibility 2)
x
−
4
=
−
2
x
+
5
(Simplify both sides of the equation)
x
−
4
+
2
x
=
−
2
x
+
5
+
2
x
(Add 2x to both sides)
3
x
−
4
=
5
3
x
−
4
+
4
=
5
+
4
(Add 4 to both sides)
3
x
=
9
3
x
3
=
9
3
(Divide both sides by 3)
x
=
3
Check answers. (Plug them in to make sure they work.)
x
=
1
(Doesn't work in original equation)
x
=
3
(Works in original equation)
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