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
Semenov [28]
3 years ago
12

The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

You might be interested in
What is the length of the line segment with endpoints (8,−10) and (8, 20) ?
Gwar [14]
B is your answer because 20 - -10 is 10 brainliest please
4 0
3 years ago
An air traffic controller is tracking two planes.To start Plane A was at an altitude of 990 meters and plane B was at an altitud
soldi70 [24.7K]

The equation representing when the two planes would be at the same altitude is 9x=486

<h3>In terms of mathematics, what is an equation?</h3>

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

To learn more about equations from given link

brainly.com/question/25678139

#SPJ9

8 0
1 year ago
A television regularly selling for $500 is marked down to $300.  
Igoryamba
He saves $200 (the amount of change over the original amount $500

200/500  = 2/5  and 2/5 = 40%  (divide 2 by 5 and get .4 which = 40%)

40% discount is the answer to your question
3 0
3 years ago
14 bands volunteered but 7 played. How many lineups?
ankoles [38]

Answer:

3432

Step-by-step explanation:

Total bands = 14

Bands played = 7

The possible lineups can be calculated using Combination.

So, the possible lineups are 14C7

=> \frac{14!}{7!(14-7)!}

=> 3432

8 0
3 years ago
Please help asap, i will mark as brainliest. please try to find the answer! asap
Hitman42 [59]
1. 14.4 km, 2. 25.2 km, 3. 37.8 km
8 0
3 years ago
Other questions:
  • What are the subsets of the set {7, 8, 9}?
    11·1 answer
  • How can I convert units of capacity
    8·1 answer
  • Which pair is equivalent? 5/4 &amp; 1 2/4 . 4 6/7 &amp; 7/34. 3 3/5 &amp; 18/5. 12/9 &amp; 2 3/9​
    13·1 answer
  • Renee Hiked for 4 3/4 miles. After resting, Renee hiked back along the same route for 3 1/4 miles. How many more miles does Rene
    11·1 answer
  • Calculate the mean of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3
    5·1 answer
  • Between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches . Assuming that the water level decre
    9·1 answer
  • The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
    8·1 answer
  • 9. Jack is learning to save, spend, and give his money away to charities. He has determined to give 10% of his summer job earnin
    6·1 answer
  • I NEED help :( PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
    10·1 answer
  • I need help on this pls help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!