Which of the following equations have exactly one solution?Choose all answers that apply:
~
A) 6x – 6 = 15x + 15
B) 6x – 15 = 6x +15
C) 6x – 6 = 6x + 15
D) 6x + 15 = 6x + 15

Answers

Answer 1
Answer:

Final answer:

By assessing each equation, we deduce that the only equation that has exactly one solution among the ones given is equation A (6x – 6 = 15x + 15). Equations B (6x – 15 = 6x +15) and C (6x – 6 = 6x + 15) have no solutions, and equation D (6x + 15 = 6x + 15) has infinitely many solutions.

Explanation:

Solution to an equation is the value of variable that satisfies the equation or makes the equation true. Let's examine the given equations one by one:

A) 6x – 6 = 15x + 15: If we simplify this equation by moving all the terms involving x to one side and the constants to the other, we get: 9x = -21, which gives x = -21/9 or -7/3, hence this equation has exactly one solution .

B) 6x – 15 = 6x +15: In this case, if we subtract 6x from both sides, we get -15 = 15, which is not true, hence this equation has no solution.

C) 6x – 6 = 6x + 15: Again, if we subtract 6x from both sides, we get -6 = 15, which is not true, hence this equation again has no solution.

D) 6x + 15 = 6x + 15: For this equation, it stands true for any value of x, therefore this equation has infinitely many solutions.

So, out of the given options, only the equation A has exactly one solution.

Learn more about Solution to an equation here:

brainly.com/question/35467992

#SPJ2


Related Questions

2 The table shows the record low temperatures for five states.PennsylvaniaHawaiiUtahTexasStateTemperature (in °F)Louisiana-16- 421569I23Which list is ordered from greatest to least temperature?!A -69, -42, -23, --16, 15B -69, -42, -23, 15, -16C 15, -16, -23, -42, -69D 15, -69, -42, -23, -16cort ballcha
At Video Shack, movie rentals cost $3.99 each. the cost of renting three movies and one video game is $0.11 less than the cost of renting five video games. how much does renting a video game cost?
PLEASE HELP I GIVE THANKS
Numbers 15-16 triangles, "Identify similar figures and find missing lengths"
How to work out math problem %of 50 shirts is 35 shirts

How many minutes is it from 8:00am to 11:40am?

Answers

Answer:

220 minutes

Step-by-step explanation:

Find how many hours there are between the two times which is 3 hours then multiply 3 by 60 because there are 60 minutes in an hour

Since the time is 11:40 we also know 40 minutes have passed so add the two minutes

40+180=220

How can you use a quick picture to solve 3 x 2.7

Answers

by saying to yourself what is 3×7 then 3×2 and you have yor answer

3 x 2.7 = 8.1

the answer is 8.1

shelby needs to water each of her 3 plants woth 200 milliliters of water. How many milliliters of water does she need?

Answers

the correct answer is 600 mL

1 Original price $150 markdown 40%2 original price $18.99 markdown 25%
3 original price $95 markdown 10%
4 original price $75 markdown 15%

Answers

1. 150* .40 = 60 so 150 -60 = 90 so the markdown price is $90

2. 18.99*.25 =4.75 (rounded ) so 18.99-4.75 is $14.24 as your markdown price

3. 95 * .10= 9.5 so 95- 9.5 = $85.50 as your markdown price

4. 75*.15=11.25 so 75-11.25=$63.75 as your markdown price

Answer:

1. 150* .40 = 60 so 150 -60 = 90 so the markdown price is $90

2. 18.99*.25 =4.75 (rounded ) so 18.99-4.75 is $14.24 as your markdown price

3. 95 * .10= 9.5 so 95- 9.5 = $85.50 as your markdown price

4. 75*.15=11.25 so 75-11.25=$63.75 as your markdown price

\

What precent does this change $16 to $4

Answers

Answer:

Percentage change=75% .

Step-by-step explanation:

Given : $16 to $4    

To find:  What is the percent change .

Solution: We have given that   $16 to $4  .

Change = final value - initial value .

Change   = $16 - $4 

                  =$12

percentage change = (change)/(original value) *100

                               =    (12)/(16) *100

On dividing both number by 4

percentage change=. (3)/(4) *100

percentage change=. [tex]\frac{300}{4} .

percentage change=75% .

Therefore, percentage change=75% .

The percent change is 25%,because 4 divided by 16 is 0.25,and to convert a decimal to a percent,I multiplied 0.25 by 100,and the product,(the answer when 2 or more numbers are multiplied)was 25 and then i added the percent sign to 25,and so the percentage is 25%

How many solutions does the nonlinear system of equations graphed below have?a . four
b . two
c . one
d . zero

Answers

The correct answer is B.Two

APEX

Answer:

d.zero

Step-by-step explanation: