Answer:
The equation of new line is: 
Option H is correct.
Step-by-step explanation:
We need to write an equation for the line that is parallel to the given line 
and point (-8,-18)
The equation of required line will in in form 
where m is slope and b is y-intercept.
We need to find slope m and b y-intercept for new line.
Finding slope:
When two lines are parallel, they have the same slope.
The slope of given line can be found by comparing the equation with
So, m = 3/4
The slope of new line will be: 
Finding y-intercept:
Using slope m = 3/4 and point (-8,-18) we can find y-intercept
So, y-intercept is b=-12
The equation of new line having m = 3/4 and b=-12 is:
So, the equation of new line is:
Option H is correct.
Perimeter = 300
Area = a(w)
Width = w
Perimeter = 300 and width = w ⇒ length = [300 - 2w ]/2 = 150 - w
Area, A = width * length = w(150-w) = 150w -w^2
Roots = w = 0 and w =150
Vertex
w =[0 + 150]/2 = 75
A = 75(150-75) = 75^2 = 5625
(75,5625)
Given that the coefficient of w^2 is negative, the vertex is the maximum of the function or area.
The second coordinate of the vertex (5625) is the maximum area the fence can enclose.
Answer: the maximum area that can be enclosed by the fencing.
Hope this helps!
Answer:
To have maximum profit, the price must be increased by 5,
Step-by-step explanation:
Given that the price increase function is:
f(x) = -2x² + 20x + 150,
For maximum profit, then f(x) = 0.
Putting f(x) = 0, we have
-2x² + 20x + 150 = 0
Or
x² - 10x - 75 = 0
(x + 5)(x - 15) = 0
x = -5
Or
x = 15
Again, differentiating f(x) and equating to zero, we have
-4x + 20 = 0
4x = 20
x = 20/4
= 5
To have maximum profit, the price must be increased by 5,
If Jos read 140 pages of a 300 page book he/she read 46.6% of the book
First two rolls have to be 1-4 that is 2/3 chance twice and the third can be 4or 5
2/3*2/3*1/3 + the chance that the fourth is the 5 or 6.
2/3*2/3*2/3*1/3
So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3
