MATHEMATICS HIGH SCHOOL

If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

f(2) = 2² = 4

g(4) = 3(4) + 1 which is 13

Further Explantion

Therefore, to run a 5k in three weeks will be considered a short-term goal and short-term goal is a goal that can be accomplished in a matter of few days.

In other words, you can achieve a short term goal very quickly but it will take you a longer period to achieve a long-term goal.

Some examples of long-term goal include

Lose 30 pounds in eight months
Run a marathon in two years
Run a 5k in three weeks
qualify for a triathlon in one year
To reduce your cholesterol level
To live a healthy to enjoy a long life
To get a bachelor’s degree
To learn to speak other languages
To purchase a home

Some of the examples of short-term goal include

Buying yourself a new phones
Washing your dishes
To learn new skills
To learn how to manage your time properly
To complete your project on time

LEARN MORE:

Which of the following would NOT be an example of a long-term goal? brainly.com/question/650672
Which of the following would NOT be an example of a long-term goal? brainly.com/question/723218

KEYWORDS:

long-term goal
short-term goal
goal
three weeks
one year

The correct option is (c) run a 5k in three weeks.

Further explanation:

The long-term goal is a goal that an individual wants to accomplish in a long period of time. A long term is a goal that an organization or individual wants to accomplish or achieve in the future. If an individual set a goal to run 5k in three weeks then it would be considered as a short-term goal because three weeks is a short period of time.

LONG-TERM GOAL AND SHORT-TERM GOALS

Goals are divided into two categories: long-term goal and short-term goal. A long-term goal is something that an individual wants to do in a long period of time or in the future while short-term goals are those goals which an individual wants to achieve in a short period that is in a week or month. A short-term goal can be achieved within 12 months. Every goal has some criteria, which are as follow:

Have specific goal
Goal must be measurable
Don’t be negative
Be realistic
Reachable
Be flexible

Learn more:

1. How is the planning step done in the education process?

brainly.com/question/9449985

2. The goal of a command economy is to

brainly.com/question/1362251

Answer details:

Grade: High School

Subject: Social Studies

Topic: Types of Goals

Keywords: goal, long-term, short-term, measurable, realistic, flexible, organization,

Rationalise:
(1) 4/(2+root3+root7)
(2) 4/(2root3+root5)

Answers

$(4)/(2+\sqrt3+\sqrt7)\cdot(2-(\sqrt3+\sqrt7))/(2-(\sqrt3+\sqrt7))=(8-4\sqrt3-4\sqrt7)/(2^2-(\sqrt3+\sqrt7)^2)=(8-4\sqrt3-4\sqrt7)/(4-3-2√(3\cdot7)-7)\n\n=(8-4\sqrt3-4\sqrt7)/(-6-2√(21))=(-2(2\sqrt3+2\sqrt7-4))/(-2(3+√(21)))=(2\sqrt3+2\sqrt7-4)/(3+√(21))\cdot(3-√(21))/(3-√(21))\n\n=(6\sqrt3-2√(63)+6\sqrt7-2√(147)-12+4√(21))/(3^2-(√(21))^2)=(6\sqrt3-2√(9\cdot7)+6\sqrt7-2√(49\cdot3)-12+4√(21))/(9-21)$

$=(6\sqrt3-6\sqrt7+6\sqrt7-14\sqrt3-12+4√(21))/(-12)=(-8\sqrt3+4√(21)-12)/(-12)=(-4(2\sqrt3-√(21)+3))/(-12)\n\n=(2\sqrt3-√(21)+3)/(3)$

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$(4)/(2\sqrt3+\sqrt5)\cdot(2\sqrt3-\sqrt5)/(2\sqrt3-\sqrt5)=(8\sqrt3-4\sqrt5)/((2\sqrt3)^2-(\sqrt5)^2)=(8\sqrt3-4\sqrt5)/(4\cdot3-5)=(8\sqrt3-4\sqrt5)/(12-5)\n\n=(8\sqrt3-4\sqrt5)/(7)$

$(1) (4)/(2+√(3) +√(7)) \n \n or, (4)/(2+√(3) +√(7)) * (2 - √(3) -√(7))/(2-√(3)-√(7)) \n \n => \frac{ \sqrt[2]{3} - √(21)+3}{3} \n \n \n (2) \frac{4}{\sqrt[2]{3} + √(5)} \n \n or, \frac{4}{\sqrt[2]{3} + √(5)} * \frac{\sqrt[2]{3}-√(5)}{\sqrt[2]{3}-√(5)} \n \n => \frac{\sqrt[8]{3}-\sqrt[4]{5}}{7}$

Find the perimeter and area of a rectangle whose length is (x + 1) and whose width is (x - 3). Express your answer in terms of x. With explanation if you can plz and thx

Answers

Answer:

Perimeter=2L+2w

P=2(x+1)+2(x-3)

P=2x+2+2x-6

P=4x-4

Area=Lxw

A=(x+1)x(x-3)

A=x^2-3x+x-3

A=x^2-2x-3

Step-by-step explanation:

I don't have one :v

Final answer:

The perimeter of the rectangle is 4x - 4 and the area is x^2 - 2x - 3.

Explanation:

The perimeter of a rectangle is calculated by the formula 2*(Length + Width). Hence, the perimeter for the rectangle in question will be 2*((x + 1) + (x - 3)) = 2*(2x - 2) = 4x - 4.

The area of a rectangle is calculated by the formula Length * Width. Therefore, the area for the rectangle equals (x + 1) * (x - 3) = x^2 - 3x + x - 3 = x^2 - 2x - 3.