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
Sophie [7]
3 years ago
9

√4x²-20x+25=5-2x HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer:

The equal is valid for x≤ 5/2

Step-by-step explanation:

sqrt(4x²-20x+25)=5-2x

Square both sides

(sqrt(4x²-20x+25))^2=(5-2x)^2

Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2

(4x²-20x+25)=25-20x+4x^2

The left side is equal to the right side

We need to check for extraneous solutions

The break point is 5-2x =0

5 =2x

x =5/2

Check x < 5/2

Let x=0

sqrt(4x²-20x+25)=5-2x

sqrt(25)=5

True

Check x=5/2

sqrt(4x²-20x+25)=5-2x

sqrt(4(25/4)-20*5/2+25)=5-2(5/2)

sqrt(25-50+25)=5-5

0=0

True

Check x>5/2

Let x=10

sqrt(4x²-20x+25)=5-2x

sqrt(4*100-20*10+25)=5-2*10

sqrt(400-200+25)=5-20

sqrt(225) = -15

15 does not equal -15

False

The equal is valid for x≤ 5/2

You might be interested in
Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour?
kari74 [83]

Answer:

306 laps

Step-by-step explanation:

If Laura walked 612 laps in 2 hours then if you divide 2 by 2 then it will give you 1, which is 1 hour. This means that if you divide 612 by 2, it should give you the answer of 306, the amount of laps in 1 hour. I hope this helps!

8 0
3 years ago
what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box
Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

brainly.com/question/3013784

#SPJ2

5 0
2 years ago
Read 2 more answers
The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years
kompoz [17]

Answer:

The correct answer is "0.300993e^{-0.300993x}".

Step-by-step explanation:

According to the question,

⇒ P(x>4)=0.3

We know that,

⇒ P(X > x) = e^{(-\lambda\times x)}

⇒     e^{(-\lambda\times 4)} = 0.3

∵ \lambda = 0.300993

Now,

⇒ f(x) = \lambda e^{-\lambda x}

By putting the value, we get

           =0.300993e^{-0.300993x}

3 0
3 years ago
Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
Fiesta28 [93]

Answer: 2014

Step-by-step explanation:

LED: -25x + 6y = 20

CFL: 15x + 2y = 322

we need to find which year it was the same to know where LED lighting surpassed  CFL lighting

-25x + 6y = 20

15x + 2y = 322 (-3)

-25x + 6y = 20

<u>-45x - 6y = -966     </u>

-70x = -946

x = 13.51

The nearest year would be 14 which is 2014

8 0
3 years ago
What is 10% of 110 thank you
loris [4]
10% turned into a decimal is .1 because to turn a percent into a decimal you need to move the decimal 2 places to the left. Now that you know that you take 110*.1=11.

Enjoy!=)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which is bigger ? 3/4 or 2/3?
    6·2 answers
  • If one class collected 65 cans for the food drive and another class collected 176 cans, how many cans did the two classes collec
    8·2 answers
  • Three girls each earned $2.55 how much did the three girls earn altogether
    6·2 answers
  • 1. FIND THE MEAN OF 8, 15, 10, 22, 16, 4
    15·2 answers
  • If a load of bread cost 25 cents two years ago, how much does it cost now?
    8·1 answer
  • Gro-Rite fertilizer costs $12.75 for three pounds. Green Zone fertilizer costs $4.50 per pound. Compare the price per pound of t
    14·1 answer
  • After 6 years, approximately how much will Brandon have saved in interest by consolidating the two balances? a. $224.64 b. $935.
    11·1 answer
  • How do i solve for x and y <br> 4x+y=8<br> x=5-y
    15·1 answer
  • Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
    6·2 answers
  • The number has over positive integer divisors. One of them is chosen at random. What is the probability that it is odd
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!