1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
san4es73 [151]
2 years ago
14

4.) Which equations below have no solution? Select all that apply, and justify your response with work. a.) x - 9 = 2(x - 3) + 1

2 b.) 5(-2x + 7) + 3 = -10x + 38 1 c.) (6x - 4) = 3(x - 2) 1 d.) 0.01x + 0.001 = (x + 10) 100 e.) 3(x + 2) + 1 = x + 2(4 + x)​
Mathematics
2 answers:
ololo11 [35]2 years ago
4 0

Hi! I'm happy to help!

To solve this, we need to simplify all of the equations. There are 3 ways equations like this can go, infinitely many solutions, 1 solution, or no solution. Infinitely many is something like 6=6, that could mean infinite solutions because 6 always equal 6, and would apply in infinitely many ways. (in the equation) One solution refers to something like x=6. This tells your exactly what x is, and that is your only solution. (for the equation) And no solution is something like 5=6, 5 will never equal 6, so that is no solution. (to the equation)

Now, let's start out with our first equation. To find if our equations have solutions or not, we need to simplify them. We do this by singling out x to see what the solution is (if there is one).

x-9=2(x-3)+12

We can multiply 2, by x and -3 inside of the parenthesis, to simplify:

x-9=2x-6+12

Since we have at least one x on both sides, we can subtract it to isolate it:

x-9=2x-6+12

-x    -x

-9=x-6+12

Combine -6 and twelve:

-9=x-6+12

-9=x+6

Now, we subtract 6 to fully isolate x:

-9=x+6

-6   -6

-15=x

We see we have 1 solution, so you should not pick option 1.

Second equation:

5(-2x + 7) + 3 = -10x + 38

We should first multiply the parenthesis:

-10x+35+3=-10x+38

Since we want to simplify, let's add 10x on both sides

-10x+35+3=-10x+38

+10            +10x

35+3=38

Add 35 and 3:

38=38

Since 38 will always equal 38, there are infinite solutions, and you should not pick option 2.

Third equation:

(6x - 4) = 3(x - 2)

Since there is nothing outside of the parenthesis (right side), we don't need them:

6x-4=3(x-2)

From here, multiply the parenthesis:

6x-4=3x-6

Subtract 3x from both sides:

6x-4=3x-6

-3x   -3x

3x-4=-6

Add 4 to both sides to isolate x:

3x=-2

Divide both sides by 3, to fully isolate x:

x=-\frac{2}{3}

Since there is only 1 solution, you should not pick option 3.

Fourth equation: (not sure if the 100 is supposed to be there)

0.01x + 0.001 = (x + 10)

First, let's subtract 0.01x from both sides:

0.001=9.99x+10

Then, we subtract 10 from both sides to start isolating x:

-9.999=9.99x

Then, we divide both sides by 9.99:

        ______

1.000900900=x

Kind of a weird number, but regardless, you should not pick option 4, because it has 1 solution.

Fifth equation:

3(x + 2) + 1 = x + 2(4 + x)​

First, let's multiply the parenthesis on both sides:

3x+6+1=x+8+2x

Combine like terms:

3x+7=3x+8

Subtract 3x from both sides:

7=8

7 will never equal 8, there will be no solution, and you should pick option 5.

<u>You should pick option e, because it has no solution.</u>

I hope this was helpful, keep learning! :D

Sophie [7]2 years ago
3 0

Answer:  Equations (b) and (e) do not have solutions

Step-by-step explanation:  b)  The x cancels out (-10x + 35) = -10x + 318;  35 = 318???? NO.  e)  3(x + 2) + 1 = x + 2(4 + x)​;  3x + 7 = 3x + 8.  The x cancels out again.

The other s can be solved for x.

You might be interested in
Which of these lines is perpendicular to the line 3y = -2x + 5?
lesya [120]
Answer
Option C. 2y=3x+2
5 0
2 years ago
Cost of a comic book $3.95 markup 20%
Sergeu [11.5K]
If you mean the price is now 120% of the original, $<span>4.74 (3.95 * 0.8) is the new price.

If you mean the price is now 80% of the original, $3.16 (3.95 * 1.2) is the new price.</span>
5 0
3 years ago
Read 2 more answers
Choose the appropriate test for the following situation. A company has instituted a new work policy that it hopes will reduce th
Lady bird [3.3K]

Answer:

i think it is a

Step-by-step explanation:

5 0
3 years ago
Identify the property demonstrated: 43 • 47 = 43+7 A. Product of Powers Property B. Quotient of Powers Property C. Power of a Pr
N76 [4]

Answer:

I think the answer is A

Step-by-step explanation:

So sorry if the answer is incorrect

3 0
3 years ago
What is the sum of the geometric series
Sergio039 [100]
Answer: 2343 / 256

Explanation

I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.

1) Adding the terms:

 4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0

= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =

= 2343 / 256

2) Using the formula:

n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0

Here n - 1 = 4 => n = 5

r = 3/4

A = 3

Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =

= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =

= (3 * 781) / (4^5) / (1/4) =  3 * 781 / (4^4) = 2343 / 256

So, no doubt, the answer is 2343 / 256
5 0
3 years ago
Other questions:
  • Nicole and her grandmother live in the same neighborhood, but a forest of trees separate their houses. If you left Nicole’s hous
    14·1 answer
  • Please help with number 1! Thanks
    14·1 answer
  • NEED HELP IM BEGGING YOU PLEASE!!!!!!!! HELP ME !!!!!!!!!!!!!
    14·2 answers
  • 3.1 = x / 2 equals what?
    9·1 answer
  • Solve: 2x+1-14x=-71<br> This is for 7th grade mathematics. Please help! I need this now!
    10·1 answer
  • Fine the y-intercept of the line on the graph.​
    13·1 answer
  • A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 fee
    7·1 answer
  • Can someone help me with homework
    12·1 answer
  • A bag with 1/4 pounds of raisins will be used to fill snack cups with 1/32 pounds of raisins each. How many snack cups can be fi
    13·1 answer
  • Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a telev
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!