Part A is answer choice C, and Part B is answer choice A, because each square is one unit and 6 units are shaded out of 16 total shaded units, and 2/4 times 3/4 gives you 6/16, therefore 6 out of 16 is the correct answer.
Move all the terms to the left side and set equal to zero. Then set each factor equal to zero.
A= c+d/b+d
The second equation is the first equation multiplied by -3. Therefore, The solution to the system of equations is all real numbers.
Answer:
<em>y = 3x</em>
Step-by-step explanation:
<u>Equation of a Line</u>
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given the following values of the function: f(-1)=-3 and f(2)=6. The points are (-1,-3) and (2,6). The slope is:
Now find the equation of the line using the second point:
y - 6 = 3 ( x - 2 )
Operating:
y - 6 = 3x - 6
Simplifying:
y = 3x
Answer:
g < -7
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
*Note:
When dividing or multiplying both sides of the inequality by a negative, <em>flip</em> the inequality sign.
<u>Step 1: Define</u>
<em>Identify.</em>
4 - 5g > 39
<u>Step 2: Solve for </u><u><em>g</em></u>
- [Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
- [Division Property of Equality] Divide -5 on both sides: g < -7
∴ any number <em>g</em> less than -7 would work as a solution to the inequality.
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Topic: Algebra I
Unit: Inequalities
