Answer:
41.616
Step-by-step explanation:
It would be 16 more 6th graders that are not in either band or orchestra.
15 6th Graders in band
9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class
100 6th Graders in total
-42 6th Graders in either class
-------
58 6th Graders in neither class
58-42= 16 more 6th Graders that are not in either class
You're welcome :)
The Equation of a Line
The slope-intercept form of a line can be written as:
y = mx + b
Where m is the slope of the graph of the line and b is the y-intercept.
In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:
0 = m(0) + b
Solving for b:
b = 0.
Thus, the equation of the line reduces to:
y = mx
We only need to find the value of the slope.
That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.
Solving for y:

The slope of the second line is -4/3.
We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

Substituting the value of m1 and solving for m2:

The slope of our line is 3/4 and the required equation is:

From this last equation, we need to find the general form of the line.
Multiply both sides of the equation by 4:
4y = 3x
Subtract 3x on both sides:
4y - 3x = 0
Reorder:
-3x + 4y = 0
Answer:
B. 1/8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>:

- Exponents:

- Multiply:

Answer:
1. (4,5)
The average rate of change of f(x) remain constant (4). Over the interval (4,5), g(x)=5,2 exceeding the change of f(x).
2. None!! REMAIN CONSTANT AND INCREASE.
The rate of change of f(x) remain constant (4) and g(x) increases.
3. g(x) exceeds the value of f(x)
F(X)=31 < G(X)=35,7
4. EVENTUALLY.