Answer:
k = 4
Step-by-step explanation:
In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...
(x -3)(2x +5) +(x -3)(x +7)
Factoring out (x -3), we get ...
= (x -3)(2x +5 +x +7) = (x -3)(3x +12)
= 3(x -3)(x +4)
The value of k must be 4.
Neighborhood A :
first, put the numbers in order...
2,[2,2],4,(4),5,[5,5],5
5 number summary :
minimum = 2
Q1 = 2
Q2 (median) = 4
Q3 = 5
maximum = 5
IQR = Q3 - Q1......5 - 2 = 3...so the IQR = 3
Neighborhood B :
1,[1,2],2,(3),4,[5,5],12
5 number summary :
minimum = 1
Q1 = (1 + 2) / 2 = 3/2 or 1.5
Q2 (median) = 3
Q3 = 5
maximum = 12
IQR = Q3 - Q1....5 - 1.5 = 3.5
are the box plots symmetrical ?
Neighborhood A : the median is 4.....the minimum is 2....so thats 2 spaces from the median...the maximum is 5....so thats 1 space from the median...and being that they are not the same distance from the median, ur box plot is skewed to the left...so this is not symmetrical
Neighborhood B : the median is 3....the minimum is 1....so thats 2 spaces from the median...the maximum is 12....so thats 10 spaces from the median....these are not symmetrical especially since u have an outlier of 12....this is skewed to the right
Answer:
-4x³ - 8y - 1
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>
<em>Identify</em>
7 - 6y - 5x³ - 1 + x³ - 7 - 2y
<u>Step 2: Simplify</u>
- [Addition] Combine like terms (x³): -4x³ + 7 - 6y - 1 - 7 - 2y
- [Subtraction] Combine like terms (y): -4x³ - 8y + 7 - 1 - 7
- [Subtraction] Combine like terms: -4x³ - 8y - 1
The equation in slope-intercept is y=0.625x+7.
y = mx + b
where:
m is the slope of the line
b is the y-intercept of the line
The slope m of the line through any two points (x1, y1) and (x2, y2) is given by:
The y-intercept b of the line is the value of y at the point where the line crosses the y axis. Since for point (x1, y1) we have y1 = mx1 + b, the y-intercept b can be calculated by:
b = y1 - mx<span>1. hope that helped</span>
15 tickets = $105
105 ÷ 15 = 7
1 ticket costs $7.
$7 x 12 = $84
12 tickets cost $84
Answer: $84 (Answer C)
