What is domain and range

Answers

Answer 1
Answer: domain = x
range = y
so like in (4,1) The four is the domain and the range is 1

Answer 2
Answer: Domain is all the x coordinates, range is the y coordinates

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Triangle ABC is similar to Triangle DEF, then AB is congruent to DE

Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 Answer choices:a. x=116, y=8,z=-21
b. x=82, y=-10, z=9
c. x=-116, y=28,z=37
d. x=6,y=-14,z=1

Answers

5x + 9y + 9z =   5 ⇒ 5x +   9y +   9z =   5
4x + 9y + 6z = 10 ⇒ 4x +   9y +   6z = 10
2x + 2y + 5z =   9     9x + 18y + 15z = 15

5x + 9y + 9z =   5 ⇒ 4x +  9y +   6z = 10
4x + 9y + 6z = 10 ⇒ 2x +  2y +   5z =   9
2x + 2y + 5z =   9     6x + 11y + 11z = 19

9x + 18y + 15z = 15 ⇒ 99x + 198y + 165z = 165
6x + 11y + 11z = 19 ⇒ 90x + 165y + 165z = 285
                                                    9x + 33y = -120

5x + 9y + 9z =   5 ⇒ 5x + 9y + 9z =   5
4x + 9y + 6z = 10 ⇒ 4x + 9y + 6z = 10
2x + 2y + 5z =   9 ⇒ 1x + 0y + 3z = -5

5x + 9y + 9z =   5 ⇒ 4x + 9y + 6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y + 5z =   9
2x + 2y + 5z =  9      2x + 7y + 1z =   1

1x + 0y + 3z = -5 ⇒ 1x +   0y + 3z = -5
2x + 7y + 1z =  1 ⇒ 6x + 21y + 3z =  3
                                        -5x - 21y = -8

 9x + 33y = -120 ⇒ 63x + 231y = -840
-5x - 21y =     -8 ⇒ -55x - 231y =   -88
                                             8x = -928
                                              8        8
                                               x = -116
                                   -5x - 21y = -8
                           -5(-116) - 21y = -8
                                 580 - 21y = -8
                               - 580           - 580
                                         -21y = -588
                                          -21      -21
                                              y = 28
                            5x + 9y + 9z = 5
                5(-116) + 9(28) + 9z = 5
                      -580 + 252 + 9z = 5
                                -328 + 9z = 5
                              + 328     + 328
                                           9z = 333
                                            9       9
                                             z = 37
                                   (x, y, z) = (-116, 28, 37)

The answer to the problem is C.

F(x) = 3x + 2 g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7

Find f[g(5)]

A. 92
B. 2
C. 30
D. 242

Answers

Answer:

A

Step-by-step explanation:

Evaluate g(5), then use the value obtained to evaluate f(x) , that is

g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then

f(30) = 3(30) + 2 = 90 + 2 = 92

Solve each equation by finding all roots x^4-16=0

Answers

{ x }^( 4 )-16=0\n \n { x }^( 4 )=16\n \n x=\pm \sqrt [ 4 ]{ 16 } \n \n \therefore \quad x=\pm 2
add both sides by 16
so you'll have x^4 =16
take the 4th root of both sides and you'll get x=  2

Every year Aiden uses income from his job to pay for 80% of his college tuition. Next year’s tuition will be $590 more than this year’s, and Aiden will have to pay $3,064. How much is this year’s tuition? A) $2,474 B) $2,774 C) $2,824 D) $2,924

Answers

The answer is A. $2,474

The sum of a number and 18 times its reciprocal is 11. Find the number(s). Let x represent the unknown number. 
The Reciprocal of x is____?

Answers

i believe that n=-9?

sorry if im not right i just guessed based on an equation that i know for this stuff

Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

f(x)=a(x-h)^2+k              .... (1)

Where, (h,k) is the vertex.

The given functions are

f(x)=-3x^2+2                 ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

h=0,k=2

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Maximum(F_1)=2

Maximum(F_2)=4

Therefore function 2 has a larger maximum.

Answer:

the anwser is 2 guys. i got it correct