Answers
It's asking if we can subtract any two functions and get the same result.
Let's say that f(x) = 2x+5 and g(x) = 7x-10
----------------------------
Subtracting f-g leads to...
f(x) - g(x) = ( f(x) ) - ( g(x) )
f(x) - g(x) = ( 2x+5 ) - ( 7x-10 )
f(x) - g(x) = 2x+5 - 7x+10
f(x) - g(x) = (2x-7x) + (5+10)
f(x) - g(x) = -5x + 15
----------------------------
Subtracting in the opposite order leads to...
g(x) - f(x) = ( g(x) ) - ( f(x) )
g(x) - f(x) = ( 7x-10 ) - ( 2x+5 )
g(x) - f(x) = 7x-10 - 2x-5
g(x) - f(x) = (7x-2x) + (-10-5)
g(x) - f(x) = 5x-15
----------------------------
We see that f-g is not the same as g-f
So generally, function subtraction is not commutative.
This is because subtraction is generally not commutative. Take for example how 7-2 = 5 and 2-7 = -5 are different results. The only time subtraction is commutative is when you're subtracting some number from itself (eg: 7-7 = 0).
Related Questions
Solve the inequality:
Answers
Answer:
x is greater than or equal to 9
Step-by-step explanation:
Answer:
[tex] x \geqslant 9[/tex]
Step-by-step explanation:
[tex] \frac{5x - 6}{3} \geqslant 13 \\ 5x - 6 \geqslant 13 \times 3 \\ 5x - 6 \geqslant 39 \\ 5x \geqslant 39 + 6 \\ 5x \geqslant 45 \\ \frac{5x}{5} \geqslant \frac{45}{5} \\ x \geqslant 9[/tex]
Kushner & Company is an architectural firm specializing in home remodeling for private clients and new office buildings for corporate clients. Kushner charges customers at a billing rate equal to 130% of the client's total job cost. A client's total job cost is a combination of (1) professional time spent on the client ($ 63 per hour cost of employing each professional) and (2) operating overhead allocated to the client's job. Kushner allocates operating overhead to jobs based on professional hours spent on the job. Kushner estimates its five professionals will incur a total of 10,000 professional hours working on client jobs during the year
Answers
Answer:
the question is incomplete so I looked for a similar question:
Besides the missing information, we are told that Li's job required 25 professional hours, 125 miles of travelling, 4 blueprint copies, and 15 secretarial hours.
total overhead = $233,000
total professional hours = 10,000
predetermined overhead allocation rate = $233,000 / 10,000 = $23.30 per professional hourcost of Li's job:
professional hours = 25 x $63 = $1,575
allocated overhead = 25 x $23.30 = $582.50
total = $2,157.50
billing to Mr. Li = $2,157.50 x 1.3 = $2,804.75if they used ABC costing, then allocation rates would be:
cost per mile = $6,000 / 15,000 miles = $0.40 per mile drivencost per blueprint copy = $32,000 / 1,000 = $32 per blueprint copycost per secretarial hour = $195,000 / 5,000 = $39 per hourif ABC costing was used, the cost of Li's job would have been:
professional hours = 25 x $63 = $1,575
125 miles x $0.40 = $50
4 blueprint copies x $32 = $128
15 secretarial hour x $39 = $585
total cost = $2,338
billing to Mr. Li = $2,338 x 1.3 = $3,039.40ABC costing is more exact, and therefore, it is more fair to customers (and the company also) since customers are charged based on what the company really spent on serving them.
Which of the following expressions is not one way that you
could describe this situation?
"Avocados are sold for $1.50 each."
Answers
Answer:
1 1/2$
Step-by-step explanation:
Bob wants to eat tacos, so he went to "SARS" to get avocadoes. He got 1 1/2$ of avocadoes, now he can make guacamole.
Sorry if I get it wrong.
Write 3.1405 x 10° in standard form
Answers
Answer:
3.1405
Step-by-step explanation:
[tex]10^{0}[/tex] = 1 ⇒ This is always the case
So,
3.1405 × 1 = 3.1405
3 1/3 minus 1 1/4 an explanation would be great please and thank you
Answers
Exact form: 25/12
Mixed number form: 2 1/12
Decimal: 2.083
How was purple triangle transformed into the orange triangle
A. Shifted 1 unit left and then 5 units up
B. shifted 1 Unit left and then 5 units down
C. shifted 1 unit right and then 5 units down
D. shifted 1 unit right and then 5 units up
Answers
Answer:
D. shifted 1 unit right and then 5 units up
Answer:
shifted 1 unit right and then 5 units up
Step-by-step explanation:
The purple triangle has been shifted 1 units right and then 5 units up.
Three parallelograms are hinged at each vertex to create an arm that can extend and collapse for an exploratory spaceship robot. What is m<1?
Answers
Given:
Three parallelograms are hinged at each vertex.
To find:
The measure of angle 1.
Solution:
From the given figure it is clear that angle on the vertex = 122°.
Now let angle 2 be the vertex angle in second parallelogram as shown in below figure.
[tex]m\angle 2=122^\circ[/tex] (Vertically opposite angles)
Two consecutive angles of a parallelogram are supplementary angles.
[tex]m\angle 1+m\angle 2=180^\circ[/tex]
[tex]m\angle 1+122^\circ=180^\circ[/tex]
[tex]m\angle 1=180^\circ-122^\circ[/tex]
[tex]m\angle 1=58^\circ[/tex]
Therefore, the measure of angle 1 is 58°.
Javi are selling cookies at different rates. She charges $1.25 per cookie when a customer buys fewer than 12 cookies. If a customer buys at least a dozen (12) cookies, she charges $12 per dozen and $0.75 for each additional cookie over a dozen. Let y represent the cost to the customer and x represent the number of cookies the customer purchases.
Answers
Answer:
1.25÷12=9.6
12÷0.75=16
16÷9.6=1.6666667
a store charges $20 for 15 candy bars. at this rate how much would they charge for 18 candy bars.
Answers
23 im pretty sure lol
Step-by-step explanation: If not im sorry i couldn't help and have a good day lol
Lunch is $4 per person, even for the chaperones.
There are 29 students and 6 chaperones are going on the field trip.
Which expressions will determine the cost? Choose all that apply.
Answers
Answer:
f(4)= 35x
Step-by-step explanation:
x= $4
Add the 29 students and 6 chaperones together since lunch is same price for both
(+2)-(-6) plz answer I am confused
Answers
Answer:
8
Step-by-step explanation:
the negatives cancel out when you have 2 negatives so basically you have 2+6
whats the whole problem?
Step-by-step explanation:
..................
2(4z−1)=3(z+2) Find value of z
Answers
Answer:
z=1.6
Step-by-step explanation:
Answer:
The answer is z = 8/5.
Step-by-step explanation:
first distribute the first parentheses you should get 8z-2=3(z+2)
second you would distribute the second group of parentheses you should get 8z-2=3z+6
third step would be combining like terms, move 3z over to 8z remember to substract then move -2 to the 6 be sure the add this time and you should end up with 5z=8
Lastly divide the 8 by the 5 so 8/5 and it cannot be simplified so the answer is z = 8/5
6.25 x 10
the 3rd power
Answers
Answer:
6,250
Step-by-step explanation:
10x10x10=1,000
1000x6.25= 6,260
Answer:
6250
Step-by-step explanation:
First, 10^3 is 1000. 6.25 times 1000 is 6250
if h(c) = -4, then c =
Answers
since there is no other context, we can assume that x is -4.
if you can do 105 pushups in 3 min how many can you do in 5 min
Answers
Answer:
175 pushups in 5 min
Step-by-step explanation:
[tex]105/3=35\\35*5=175[/tex]
Answer: 175 pushups
Step-by-step explanation:
Set up the proportion 105/3 = x/5 to find out how many pushups you can do in 5 minutes. Cross multiply (105*5 and 3*x). 3x = 525.Divide by 5 on both sides. x = 175what is the sum of 5 to the fourth power and 3 to the second power
Answers
Answer:
634
Step-by-step explanation:
[tex]5^{4\\}[/tex]=625
3²=9
625+9=634
work: 5x5x5x5 = 625
3 to the second power = 9
3x3=9
A typist charges 28Gp for the first five sheets and 8Gp for each additional sheet she types. How much will she earn, if she types 36 sheets?
Answers
Answer:
204
28=5 8=1
28+28=10 sheets
28×7=35 sheets
28x7=196
196+8=204
the plus 8 is for the extra page that is needed for 36
Image for question below
Answers
i need help on my home work WITH ratio's
Answers
Answer:
Step-by-step explanation:
a ratio is comparing to things to gather and than simplifying to the smallest numbers
Which equation is NOT true? A. 55 + 27 + 45 =100 + 27 C. 14(126)= 14(100) + 14(26) B. 5⦁ 7⦁ 2 = 2⦁7 D. 31(152) = 30(150) + 1(2) 5
Answers
Answer:
5⦁ 7⦁ 2 = 2⦁7 is not true
Step-by-step explanation:
70 ≠ 14
Bella measure the height of her corn stalks in centimeters. The heights are 81 88 69 65 87. What is the mean height of Bell’s corn stacks
Answers
Answer:
It’s c. 78cm
Step-by-step explanation:
This might be hella late
Answer:
C-78
Step-by-step explanation:
plz help with this (pic)
Answers
The answer is h=7
Step-by-step explanation:
Westmoreland, CA is 157 feet below sea level. Dallas, TX is 430 feet ABOVE sea level. What is the distance between the two cities?
Answers
West Moreland is -157 ( below sea level would be a negative value)
Dallas is 430 above
-157 to sea level is 157 feet
Sea level to 430 is 430 feet
Total distance = 157 + 430 = 587 feet.
Answer:
587 feet
Westmoreland is 157 feet below the sea level.
This is a negative number, so add 157 to get to 0.
Dallas is 430 above sea level.
Add 430 and 157. You get 587.
Hope it helps!
Liner contains points (6, 1) and (-4,-4). Which of the following pairs of points define a line parallel to liner?
O (5,-2) and (3, 0)
0 (0, -2) and (6,5)
O (-2, 0) and (5, -6)
O (-8, -2) and (6,5)
Answers
Answer:
B
Step-by-step explanation:
Find the length of the missing side.
Please help!
Answers
Answer:
15
Step-by-step explanation:
a2+b2=c2
Is a triangle with interior angle measures 40°, 50°, and 100° possible? Explain why or why not?
Answers
Answer:
No
Step-by-step explanation:
The angles of a triangle have to add up to 180°.
Answer:
no
Step-by-step explanation:
the interior of the triangle cannot be over 180 degrees added up this exceeds 180
Lilly bought 4 pairs of blue jeans at $32 each. How much money did she pay the clerk?
Answers
Segment AB has the endpoints A(3,5), and B(-2, 4). Find the distance to the nearest tenth between the two points.
Answers
Twenty-one and six hundred five thousandths in expanded form
Answers
Answer:
626,140
or
600,000+20,000+6,000+100+40
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get you a better answer.
-Have a great day!
Answer:
21.0065
Step-by-step explanation:
I really need help with this problem
Answers
Answer: -6
Step-by-step explanation:
y = -4x -6
