First look at the points and find their x and y values. So we have:
(-3,3), (0,0), (3,3)
Next separate the x values and the y values
x values: -3, 0, 3
y values: 3, 0, 3
The x values are your domain and the y values are are range
So the answer is b
Log[6] * 4x2 + -1log[6] * x = 2
Reorder the terms for easier multiplication:
6 * 4glo * x2 + -1log[6] * x = 2
Multiply 6 * 4
24glo * x2 + -1log[6] * x = 2
Multiply glo * x2
24glox2 + -1log[6] * x = 2
Reorder the terms for easier multiplication:
24glox2 + -1 * 6glo * x = 2
Multiply -1 * 6
24glox2 + -6glo * x = 2
Multiply glo * x
24glox2 + -6glox = 2
Reorder the terms:
-6glox + 24glox2 = 2
Solving
-6glox + 24glox2 = 2
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Reorder the terms:
-2 + -6glox + 24glox2 = 2 + -2
Combine like terms: 2 + -2 = 0
-2 + -6glox + 24glox2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3glox + 12glox2) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3glox + 12glox2)' equal to zero and attempt to solve:
Simplifying
-1 + -3glox + 12glox2 = 0
Solving
-1 + -3glox + 12glox2 = 0
Move all terms containing g to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + -3glox + 1 + 12glox2 = 0 + 1
Reorder the terms:
-1 + 1 + -3glox + 12glox2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3glox + 12glox2 = 0 + 1
-3glox + 12glox2 = 0 + 1
Combine like terms: 0 + 1 = 1
-3glox + 12glox2 = 1
Answer:
12units²
Step-by-step explanation:
Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,
Perimeter of the triangle = 2 + 5 + 5.39
Perimeter of the triangle = 12.39units
since the circumference is equal to the perimeter of the triangle, hence;
C = 12.39units
C = 2πr
r is the radius of the circle
12.39 = 2(3.14)r
12.39 = 6.28r
r = 12.39/6.28
r = 1.973 units
Get the area
Area = πr²
Area of the circle = 3.14(1.973 )²
Area of the circle = 3.14(3.892)
Area of the circle = 12.22units²
Area of the circle ≈ 12units²
Answer:
(a) Bar chart
Explanation:
A bar graph or a bar chart is a graphical representation of data and it belongs to the frequency graphs. It is the best way to illustrate the frequencies of political preference because it is very easy to interpret and it shows the relative sizes that are we can see which political preference is the most common and which is the least, at one glance.
Therefore, we can say that
The best way to illustrate the frequencies for each political preference is a bar graph.
Hence, the option (a) is correct.
1 80/333 is about 1.24
the full decimal is 1.24024024... etc