Answer:
The answer is -1
Step-by-step explanation:
Answer:
C) 
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 3x - 7 = 0
↓
<em>a</em> = 5, <em>b</em> = -3, <em>c</em> = -7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:

- [√Radical] Evaluate exponents:

- [√Radical] Multiply:

- [√Radical] Add:

- [Fraction] Multiply:

Answer:
Add 16 to both sides.
General Formulas and Concepts:
<u>Pre-Alg</u>
<u>Algebra I</u>
- Completing the Square: b/2a
Step-by-step explanation:
<u>Step 1: Define expression</u>
x² + 8x - 5 = 15
<u>Step 2: Solve</u>
- Isolate <em>x</em> terms: x² + 8x = 20
- Complete the Square: (x² + 8x + 16) = 20 + 16
- Simplify: (x + 4)² = 36
Answer:
Step-by-step explanation:
Notice that the measure of angle 5 is congruent, or equal to, the measure of angle 1. You entered this in one of your previous steps. Since the measure of Angle 1 is CONGRUENT to the measure of Angle 5, you can substitute Angle 5 for Angle 1.
Similarly, the measure of Angle 3 is congruent to Angle 6. So you can write that the m(Angle 5) + m(Angle 2) + m(Angle 6) = 180. By method of substitution.
I'm not exactly sure if this is the right order they want you to do it, however I hope this helps.
Answer:
the inter-quartile range will increase
Step-by-step explanation:
The initial data-set was;
20,32,32,45,50
Adding a new value 78 will have several effects;
The mean of the new set of values will increase since 78 is mostly likely to be an outlier.
The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5
The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.
The inter-quartile range just like the range will increase