Answer:
n = 6 + 
or n = 6 -
Step-by-step explanation:
We can solve this equation using the quadratic formula OR Completing the Square method.
n² + 14 = 12n
rearrange : n² - 12n + 14 = 0
here a= 1 , b = -12, c = 14
the quadratic formula says: x = - b/ (2a) + root(b^2 - 4ac) / (2a)
or x = - b/ (2a) - root(b^2 - 4ac) / (2a)
x = - (-12)/ (2) + root((-12)^2 - 4*14) / (2)
x = 6 + root (144 - 56) / 2
x = 6 + root(88)/2
x = 6 + root(4*22) / 2
x = 6 + 2*root(22)/2
x = 6 + root(22) = 6 +
so x =6 + or x = 6 -
In this case x = n
n = 6 + or n = 6 -
<em>Answer</em>
a. Vertical shrink by a factor of 1/3
<em>Step-by-step explanation</em>
Function transformation
• a,f(x) vertically compresses f(x) when 0 < a < 1
Given the function:
Multiplying f(x) by a = 1/3, we get:
Then, f(x) is vertically shrunk by a factor of 1/3
Answer:
The number lines are shown below.
Step-by-step explanation:
In the given problem the sign of inequality is missing.
We know, that there are 4 signs of inequality ">", "<", "≥" and "≤".
The possible inequalityes are
In , all points on the right side of 23 are included in the solution set.
In , all points on the left side of 23 are included in the solution set.
In , 23 and all points on the right side of 23 are included in the solution set.
In , 23 all points on the left side of 23 are included in the solution set.
Answer:
The unit rate in miles per hour = <em>1.4 miles/hr</em>
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = 
Time taken by Boardman family = Two over seven of an hour = 
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
Putting the values:
So, the unit rate in miles per hour = <em>1.4 miles/hr</em>
If you just divide both you get 9.7
