MATHEMATICS HIGH SCHOOL

Domain and Range of each graph. (50 Points)

Answers

Answer 1

Answer:

Answer:

a. Domain: {-5} Range: [-5, 5]

b. Domain: (-∞, ∞) Range: (-∞, ∞)

c. Domain: [-1, 2] Range: [-5, 5]

d. Domain: [-4, 4] Range: [-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

Answer 2

Answer:

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

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Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

$x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC. Which reason justifies the statement that KLC is complementary to KJC?

Answers

Complementary angles are angles that sum up to 90°

We know that:
1- MLC=KJC.
2- KLM=90.

KLM is composed of KLC and MLC.
This means that:
KLC+MLC=90°

Since MLC=KJC, we can write this as KLC+KJC=90°.
This is the definition of complementary (two angles whose sum is 90 degrees).

Angles that are congruent are complementary to the same angle. Is the correct answer A

14) Ms. Lopez has $118 for tickets at the Sports Fun Park. She needs to buy 1 adult ticket for $19. How many child tickets can she buy if child tickets cost $12 each? A) 5 child tickets
B) 6 child tickets
C) 7 child tickets
D) 8 child tickets
15) In 14, Ms. Lopez changed her plans and decided to purchase another adult ticket and 6 child tickets. How much money will she have left?
$5
$6
$7
$8

Answers

Answer:

14=D

15=D

Step-by-step explanation:

Dalton's dad rode his bike 1 kilometer north, 1 kilometer west, 1 kilometer south, and 2 kilometers east. How many total kilometers will Dalton's dad ride