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
anzhelika [568]
3 years ago
8

How many solutions does this equation have? 4x+(-3x+2)=2x+5-2

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

One Solution

Step-by-step explanation:

So we have the equation:

4x+(-3x+2)=2x+5-2

On both sides, combine like terms:

(4x-3x)+2=2x+(5-2)

Simplify:

x+2=2x+3

Subtract x from both sides. The left cancels:

(x+2)-x=(2x+3)-x\\2=x+3

Subtract 3 from both sides. The right cancels:

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

Flip:

x=-1

So, our equation only has one solution.

And the answer is -1 :)

You might be interested in
Please help me to figure out this math graph problem.
Monica [59]

Answer:

Step-by-step explanation:

6 0
3 years ago
Can someone help me with this question please
Elodia [21]
It's the second one -7x^2 because a quadratic equation needs to be squared and that's the only one that provides that, you can also find the differences of each equation to see if it's quadratic
7 0
3 years ago
Read 2 more answers
Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
If you transform x 2 + y 2 = 25 into 4x 2 + 4y 2 = 25, which option below describes the effect of this transformation on the rad
FromTheMoon [43]

<em><u>Answer</u></em>


c. It divides the radius by 2.



<em>Explanation</em>

The general equation of a circle is

(x-h)² + (y-k)² = r²

Where (h, k) makes the coordinates of the circle and r the radius.


x² + y² = 25 For this equation,


center (0, 0)

Radius = √25 = 5


4x² + 4y² = 25 First simplify this equation

4x² + 4y² = 25 ⇒ x² + y² = 25/4


center (0, 0)

Radius = √(25/4) = 5/2


The radius has been divided by 2


5 0
3 years ago
Read 2 more answers
Write 2 fractions equivalent to 7/12
NeTakaya

Answer:

14/24 And 21/36

Step-by-step explanation:

Just multiply the fractions by any number. In this case 2 and 3.

4 0
3 years ago
Other questions:
  • I need an inequality
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5y%7D%7B2%7D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \frac
    5·1 answer
  • A rope is stretched tight between the tops of the two flags poles. one pole is 16m tall, other 8m tall and they stand on level g
    14·1 answer
  • Solve and express the solution set in simplest form. <br> 6x-1/5=3/1
    6·2 answers
  • .εmk ve iç direnci r olan bir üretecin bir R dış direncine maksimum güç verebilmesi için
    6·1 answer
  • Solve 2x^2 - 7x - 15 = 0. <br> a, (3/2,-5)<br> b (-3/2,5)<br> c ()
    12·1 answer
  • What is the percent decrease when the balance in a bank account goes from $300 to $60?
    6·1 answer
  • Each numbers belongs in a location on the number line
    7·1 answer
  • At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percen
    8·2 answers
  • Ann and Joe’s father donated $3 for every lap they swam in a swim-a-thon. Ann swam 21 laps, and Joe swam 15 laps. Find the amoun
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!