1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svet-max [94.6K]
3 years ago
10

Compare and contrast the results of adding or multiplying a value outside the argument of a function to the result of adding or

multiplying a value inside the argument of a function.
Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

Only in special funcitons, specifically linear functions whose graphs pass through the origin, it is the same to put the constant inside the argument or outside

Step-by-step explanation:

If the function has the form f(x) = a*x, where a is a constant, then we have that f(c*x) = a*(c*x) = c*(a*x) = c*f(x). This kind of functions are proportional to the identity function f(x) = x, and they comprehend the linear functions whose graph pass through the origin.

For other linear function this property isnt true. For example if f(x) = x+4, then

f(4) = 4+4 = 8,

f(2*4) = 8+4 = 12

2*f(4) = 2*8 = 16

Thus, 2*f(4) is not f(2*4).

This property also isnt true for quadratic functions for example. If f(x) = x², then f(1) = 1, thus 3*f(1) = 3, however, f(3*1) = 3² = 9.

There might be coincidences for specific values, for example if f(x) = (x-1)*(x-2), then f(2*1)=2*f(1) = 0, however, for any other constant the result is not the same (for example f(0*1) = (-1)*(-2)=2, and 0*f(1) = 0).

If we want a function to satisfy the property f(c*x) = c*f(x) for any c,x, then it should be true that f(c) = f(c*1) = c*f(1). This means that if f(1) = a, then f(c) = c*a, so, in other words, f(x) = a*x = f(1) * x.

You might be interested in
2x – бу = 12<br> -5x - 15 = -30
erastova [34]

Answer:

x=7 and y= 1/3

Step-by-step explanation:

we have -5x - 15 = -30 <=> x + 3 = 10

                                            x= 7

if x=7

so 2×7 - 6y = 12 <=> 14 - 12 = 6×y

                                 2 = 6y

                                 y= 2/6 = 1/3

3 0
3 years ago
Pls help questions on the picture i will give brainleist
vovangra [49]

Answer:

B, C, F

Step-by-step explanation:

Took this quiz got it right

4 0
3 years ago
Read 2 more answers
2 points
saul85 [17]

Given:

Width of rectangular prism = 20 ft

height of rectangular prism = 12 ft

Length of rectangular prism = 45 ft

Cylindrical diameter = 20 ft

To find:

Volume of the tent

Solution:

Volume of the rectangular prism = length × width × height

                                                       = 45 × 20 × 12

Volume of the rectangular prism = 10800 ft³

Radius of cylinder = 20 ÷ 2 = 10 ft

Height of cylinder = length of rectangular prism

Volume of cylinder = \pi r^{2} h

Volume of half cylinder = \frac{1}{2} \pi r^2h

                                      $=\frac{1}{2} \times 3.142\times 10^2 \times45

Volume of half cylinder = 7069.5 ft³

Volume of tent = volume of rectangular prism + volume of half cylinder

                         = 10800 ft³ + 7069.5 ft³

                         = 17869.5 ft³

                         = 17869 ft³ (nearest cubic foot)

The volume of the tent is 17869 cubic feet.

6 0
3 years ago
A model rocket is 3 inches long. The real rocket is 120 feet long.
Nana76 [90]

The units are the complete story on this question. All of the choices are over 1 so the units make the answer over one. It takes more feet than it does inches to make the scale. The correct units are 120 feet / 3 inches. That makes A and B both incorrect.

You can't get 360 by any method but multiplication. The units for multiplication would be ft*in. So D is wrong. That only leaves you with C which is the answer.


5 0
3 years ago
Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-sh
swat32
Let T=Num of T-shirts 27
Let M=Total amount of money spent for 27 T-shirts.
Let X=Cost of 1 T-shirt

M(Total cost)/T(#of T-shirts) = X (Cost of one shirt)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Write 4.257x10^-7 in standard form.
    7·2 answers
  • Please help me with this math problem. <br> (It's a multiple choice question btw)
    9·2 answers
  • Could someone show me the steps to this problem
    14·1 answer
  • Which of the following postulates states that a quantity must be equal to itself?
    15·1 answer
  • There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students
    11·2 answers
  • Which diagram represents a fraction equivalent to 75%?
    14·2 answers
  • What is the coefficient of x in 2x + 5 = 8​
    9·1 answer
  • It says "write the fraction in the simplest form." i want the answer, the fraction is '27/36'
    8·1 answer
  • Work out the size of angle EDF, giving a reason for your answer
    15·2 answers
  • How do you solve x2 – 4 = 5 by graphing the related function
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!