Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

<em>add 9 to both sides</em>
<em>divide both sides by 2</em>

Parallel lines have the same slope. Therefore we have the equation:

Put the coordinates of the point (4, -4) to the equation:


<em>subtract 14 from both sides</em>

Finally we have the equation:

The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400
n = 2013 - 2000
n = 13
To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase
Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
d = 83,100/12
d = 6,925
The annual increase is $6925
First, do 40 - 12 = 28 (Subtract the change), then do 28 / 7 to get 4, so then we do the cans times 3 to see how many individual balls he has, which would be 12
Answer:
1.625
Step-by-step explanation:
First we need to find the mean of this data set
29+32+33+28+30+30+29+33=244
Then we divide 244 by the amount of numbers in the set
244/8=30.5
Then we need to find the deviation of each number
29 | 32 | 33 | 28 | 30 | 30 | 29 | 33
1.5 | 1.5 | 2.5 | 2.5 | 0.5 | 0.5 | 1.5 | 2.5
Then we take the mean from this set of data
1.5+1.5+2.5+2.5+0.5+0.5+1.5+2.5=13
Then divide
13/8=1.625
I hope this helps :)
The roots of 54 are: 1 and 54, 2 and 27, 3 and 18, 6 and 9, then it restarts all over again.
The two numbers have to multiply up to 54, and add up to 3. 9 and 6 have a difference of 3, and the multiplied sum is negative, so this is your pair.
9 and -6 fit this criteria, since they add up to 3 and multiply to 64.