Step-by-step explanation:
mean when 82 is present
=<u>8</u><u>2</u><u>+</u><u>4</u><u>4</u><u>+</u><u>2</u><u>7</u><u>+</u><u>9</u><u>6</u><u>+</u><u>6</u><u>9</u><u>+</u><u>8</u><u>0</u><u>+</u><u>7</u><u>5</u><u>+</u><u>8</u><u>3</u><u>+</u><u>5</u><u>6</u><u>+</u><u>9</u><u>8</u>=<u>7</u><u>1</u><u>0</u>
10 10
= 71
mean when 42 is present
=<u>4</u><u>2+44+27+96+69+80+75+83+56+98</u>=<u>6</u><u>7</u><u>0</u>
10 10
=67
therefore the mean decreases with
= 71 - 67 = 4
There are two cases that fall into this category.
A. abscissa negative, ordinate positive. This type of coordinates are of points which lie on the second quadrant.
B. abscissa positive, ordinate negative. The points having this type of coordinates lie on the fourth quadrant.
Answer: x = 6
<u>Step-by-step explanation:</u>
<em>multiplied by common denominator</em>
18 + 2x = 5x
<u> -2x</u> <u>-2x</u>
18 = 3x
<u>÷3 </u> <u>÷3 </u>
6 = x
Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.
Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.
For example: 
could be written as 
. When we solve it, we will get x = 5.
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Answer: Edward
<u>Step-by-step explanation:</u>
The denominator cannot equal zero, so:
- x + 1 ≠ 0 → x ≠ -1
- x - 2 ≠ 0 → x ≠ 2
- x - 4 ≠ 0 → x ≠ 4
Those x-values are the asymptotes, which is where the function is undefined.
Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
We are given 4 points.
Using this, we can make an equation.
I got 
by using the slope formula.
So the equation we have is
Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for 
, which is the number of cracker packages.
We need to use 
teaspoons of peanut butter to make 25 packages of crackers.
Hope this helps.
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