MATHEMATICS HIGH SCHOOL

What is the x-coordinate of the solution of the following system of equations?3x + y = 6
x - y = 6

a. -3
b. 0
c. 3

Answers

Answer 1

Answer:

Answer:

The x-coordinate of of the solution of system of equations is 3.

Option (c) is correct .

Step-by-step explanation:

As the system of equations are

3x + y = 6

x - y = 6

Now multiply x - y = 6 by 3 and subtrated from 3x + y = 6 .

3x - 3x + y + 3y = 6 - 18

4y = -12

$y = (-12)/(4)$

y = -3

Put in the x - y = 6

x - (-3) = 6

x + 3 = 6

x = 6 -3

x = 3

Therefore the x-coordinate of of the solution of system of equations is 3.

Option (c) is correct .

Answer 2

Answer: c because x is equal to 3

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The regular price of a T-shirt is $14.80. Today, T-shirts are on sale for 0.8 of their regular price. How much will Elias spend if he buys 6 T-shirts today?

Answers

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4/5 of 14.80= 11.84

11.84 x 6= 71.04

What is the answer to 4(x + -7) +12=20

Answers

    4(x - 7) + 12 = 20
4(x) - 4(7) + 12 = 20
   4x - 28 + 12 = 20
   4x - 16 = 20
   + 16 + 16
   4x = 36
      4 4
   x = 9

X=9You ise the distribution property and get 4x-28+12=20. Combine the like terms amd you get 4x -16=20. Add 166 to both sides and you get 4x =36. Divide by four and you get x=9

I need help on this help me pls

Answers

Answer:

C. 8x6^2

Step-by-step explanation:

Calculate the value.

Which of the following statements have the same result? Explain each step in solving each one.f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answers

$f(x) = 5x + 1\n\nsubtitute\ x = 1\ to\ the\ equation\n\nf(1) = 5\cdot1 + 1 = 5 + 1 = 6\n----------------------\nf(x)=(2x+3)/(5)\to y=(2x+3)/(5)\ \ \ \ |multiply\ both\ sides\ by\ 5\n\n5y=2x+3\ \ \ \ |subtract\ 3\ from\ both\ sides\n\n2x=5y-3\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nx=(5y-3)/(2)\n\nf^(-1)(x)=(5\cdot(-1)-3)/(2)=(-5-3)/(2)=(-8)/(2)=-4\n---------------------\n3y-7=y+5\ \ \ |add\ 7\ to\ both\ sides\n3y=y+12\ \ \ \ |subtract\ y\ from\ both\ sides\n2y=12\ \ \ \ |divide\ both\ sides\ by\ 2\ny=6$

Answer: f(1) when f(x) = 5x + 1 and 3y - 7 = y + 5

Which of the following would NOT be an example of a long-term goal?a. lose 30 pounds in eight months
b. run a marathon in two years
c. run a 5k in three weeks
d. qualify for a triathlon in one year

Answers

Answering the question, run a 5k in three weeks would not be an example of a long-term goal. This implies the correct answer is c.

A Three weeks goal is too short to be considered a long term goal. A long term can be defined as a goal that set for individuals to achieve in a period of 3 to 5 years.

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: