This is a problem involving the subtraction of two functions f(x) and g(x):
<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x). In other words, find:
</span><span> f(x) = 3x-1
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3 (answer)</span>
B. For each hour he works, his earnings go up by $8
Split the second term in 3m^2 + 5 - 8m into two terms
3m^2 - 3m - 5m + 5
Factor out the common terms in the first two terms, then in the last two terms.
3m(m - 1) - 5(m - 1)
Factor out the common term m - 1
<u>(m - 1)(3m - 5)</u>
It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Let x represent the rate of cost of one loaf and y represent the total cost, hence:
y = 0.8x + 100
The rate of cost of one loaf is $0.8 and the start up cost is $100.
For the second bread it is given by:
y = 1.6x
The graph of the two equations cross at (125, 200)
It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.
Find out more on Linear equation at: brainly.com/question/13763238
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

Evaluate. Simplify:

Hence:

Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)