What is a discrete relation

Answers

Answer 1

Answer: Any association or link between elements of one set, called the domain or the set of inputs, and another set, called the range or set of outputs. Good luck!

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If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

f(x) = (x+7)²
(x+7)(x+7) = x(x+7)+7(x+7) = x² + 7x + 7x + 49 = x² + 14x + 49

(x+9)² = (x+9)(x+9) = x(x+9)+9(x+9) = x² + 9x + 9x + 81 = x² + 18x + 81
(x+5)² = (x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
(x-9)² = (x-9)(x-9) = x(x-9)-9(x-9) = x² - 9x - 9x + 81 = x² - 18x + 81
(x-5)² = (x-5)(x-5) = x(x-5)-5(x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

I think g(x) based on the translation would be g(x) = (x+9)²

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2

Answers

If you would like to know the Tom's pay for the week, you can calculate this using the following steps:

P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked

B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8

Tom's pay for the week would be $177.8.

Which of the following graphs represents the function f(x) = −x2 − x + 6

Answers

Hope it helped :) ................

graph with 2 real zeros, down on left, down on right or answer B

Find the vertex of the parabola
y= x^2-2x-1
vertex (?,?)

Answers

$y=ax^2+bx+c\n\nvertex:(x_v;\ y_v)\n\nx_v=(-b)/(2a)\ and\ y_v=f(x_v)$

$y=x^2-2x-1\n\na=1;\ b=-2;\ c=-1\n\nx_v=(-(-2))/(2\cdot1)=(2)/(2)=1\n\ny_v=1^2-2\cdot1-1=1-2-1=-2\n\nAnswer:(1;-2)$

$y=a(x-h)^2+k \Rightarrow \hbox{vertex}=(h,k)\n\n y=x^2-2x-1\n y=x^2-2x+1-2\n y=(x-1)^2-2 \Rightarrow \hbox{vertex}=(1,-2)$

What is the value of x if 3ax - 4x equals 15a -20?

Answers

Step-by-step explanation:

3ax - 4x = 15a - 20

x(3a - 4) = 15a - 20

so,

x × 3a = 15a

x × 3 = 15

x = 15/3 = 5

x × -4 = -20

x = -20/-4 = 5

since both terms have the same solution, it is the solution for the whole equation :

x = 5

Use the Distributive Property to expand -3 (8x - 4).

Answers

-3(8x-4). With D property, that would be
-24x + 12

Final answer:

The Distributive Property is applied to -3(8x - 4) by multiplying -3 by each term inside the parenthesis, which gives the expanded form -24x + 12.

Explanation:

To use the Distributive Property to expand -3(8x - 4), you need to multiply each term inside the parenthesis by -3.

Multiply -3 by 8x: -3 × 8x equals -24x
Multiply -3 by -4: -3 × -4 gives +12, because when two negative numbers are multiplied, the answer has a positive sign.

Now combine the two products you obtained:

-24x + 12

Therefore, the expanded form of -3(8x - 4) using the Distributive Property is -24x + 12.

Learn more about Distributive Property here:

brainly.com/question/6276874

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