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
Verizon [17]
4 years ago
5

What is the solution set of the following equation?

Mathematics
1 answer:
wel4 years ago
4 0

\dfrac{4}{5}x^2=2x-\dfrac{4}{5}\ \ \ |\cdot5\\\\4x^2=10x-4\ \ \ |-10x\\\\4x^2-10x=-4\ \ \ \ |+4\\\\4x^2-10x+4=0\ \ \ |:2\\\\2x^2-5x+2=0\\\\2x^2-x-4x+2=0\\\\x(2x-1)-2(2x-1)=0\\\\(2x-1)(x-2)=0\iff2x-1=0\ \vee\ x-2=0\\\\x=\dfrac{1}{2}\ \vee\ x=2\\\\Answer:\ \left\{2;\ \dfrac{1}{2}\right\}

You might be interested in
How can you make the line of best fit for this picture?
BabaBlast [244]

Answer:

Step-by-step explanation:

(20,4), (100,22)

6 0
3 years ago
A refrigerator cost 295 more than an oven costs. The oven cost 325 how much does the refrigerator cost
FinnZ [79.3K]

Answer:620

Step-by-step explanation:

325+295=620

7 0
3 years ago
Read 2 more answers
The Marauders foosball team is improving with each game. The first game they scored no points, but the second game they scored s
lawyer [7]

Answer:

25 points.

Step-by-step explanation:

In the second game, you can say the Foosball team scored x points.

In their third game, they would have scored x points, plus 8.

In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.

We would get the following equation...

x + (x + 8) + 3(x + 8) = 117

x + x + 3x + 8 + 24 = 117

5x + 32 = 117

5x = 85

x = 17

So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!

Hope this helps!

4 0
4 years ago
Kilani and Adrian are starting a nutrition program. Kilani currently consumes 1200 calories a day and will increase that number
Maurinko [17]

Answer:

7 days

Step-by-step explanation:

Let us represent the number of days = a

Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day.

1200 calories + 100 calories × a

1200 + 100a

Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day.

3230 calories - 190 calories × a

3230 - 190a

The number of days that they would be consuming the same number of calories =

Kilani = Adrian

1200 + 100a = 3230 - 190a

Collect like terms

190a + 100a = 3230 - 1200

290a = 2030

a = 2030/290

a = 7 days

Therefore, the would be consuming the same number of calories in 7 days

4 0
4 years ago
find the slope and y-intercept of the line that is parallel to y= -2x - 5 and passes through the point (-3,-3)
siniylev [52]

Answer:

-9

Step-by-step explanation:

Slope is the same so y=-2x+b

Plug in x and y

-3=-2(-3)+b

-3=6+b

b=-9

(Y-intercept is -9)

4 0
4 years ago
Other questions:
  • !!!!!HELP!!!!!
    14·1 answer
  • Solve for angle B in right triangle ABC. <br><br> I got 53, is it right?
    5·1 answer
  • Eric traveled 6 miles in 15 minutes. Find the rate of speed.
    6·1 answer
  • You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60?
    11·1 answer
  • What is the number of grams in 500 kilograms?<br> A)0.5<br> B)5,000<br> C)50,000<br> D)500,000
    11·2 answers
  • Find the surface area of regular prism with height 6 cm, if the base of the prism is: a Equilateral triangle with the side 3 cm
    14·1 answer
  • HURRY Antoine is using a horse trailer to transport his horses to his new
    8·1 answer
  • Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?
    9·2 answers
  • Solve for the line, Thank you!
    8·1 answer
  • A sum of money is deposited at 7% per annum simple interest . If the yield after 3 years is $7744 , find the original sum of mon
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!