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
MAXImum [283]
3 years ago
11

50 POINTS!!!

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

9514 1404 393

Answer:

  • f(x) = x
  • g(x) = -2x+1
  • f(x) -(-g(x)) = -x+1
  • f(x) +g(x) = -x+1
  • f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.

You might be interested in
Center ( 9,-8 ), passes through ( 19,22 )
katovenus [111]
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so given
center at (9,-8)

(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²

input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r

well, the equation is
(x-9)²+(y+8)²=1000
6 0
4 years ago
Find the squares of (y+3)​
ICE Princess25 [194]

Answer:

(y-3)^2=y^2+(2×-3×y)+9

=y^2-6y+9

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2

5 0
3 years ago
Can the sides of a triangle have lengths of 10, 30, and 31? If so, what kind of triangle is it?
galina1969 [7]

Answer:

The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.

Step-by-step explanation:

In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.

A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.

6 0
4 years ago
Quiero el resultado de la ecuación 5 x + 2 y = 90​
Lena [83]

Answer:

x=18-2/5y

y=-5/2x+45

Step-by-step explanation:

5x+2y=90

Nosotros queremos resolver para x o y

5x=90-2y

x=18-2/5y

o

2y=90-5x

y=-5/2x+45

4 0
1 year ago
Read 2 more answers
What is the gradient?
Veseljchak [2.6K]

Answer:

<h2>\frac{3}{2}</h2>

Step-by-step explanation:

<h2>hi there</h2><h3>as we know gradient of Graf=</h3>

\frac{∆y}{∆x}

<h3>\frac{3}{2}</h3>
5 0
3 years ago
Other questions:
  • You have a bag with 100 pennies. One of the 100 pennies is weighted so that it lands on heads 90% of the time. The rest of them
    5·1 answer
  • Jimmy runs 2 miles monday 1.2 miles tuesday and 4.75 miles on friday.what is the total number of miles jimmy ran for three days?
    15·1 answer
  • What would be correct
    14·1 answer
  • How do I find the value of the variable?
    9·1 answer
  • Find each difference. Write in simplest form. <br> 3 4/6 - 1 5/6=
    10·2 answers
  • In which state is Pike’s Peak, the famous mountain named for Zebulon Pike?
    9·2 answers
  • What is the cube of 6? <br> a. 36 <br> b. 18 <br> c. 216 <br> d. 42
    7·2 answers
  • Use the following scenario and data for questions 6 to 13: About 23.3% of the freshmen enrolled in a state university are first
    8·1 answer
  • !!!!!!!!!I AM CRYINGGGG!!!!!! PLZZZZ
    14·1 answer
  • Find the measures of the missing angles. The triangle is not drawn to scale.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!