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
andre [41]
3 years ago
15

The square of a positive number is 24 more than 5 times a number. What is the value of the number?

Mathematics
2 answers:
romanna [79]3 years ago
7 0

Answer:  The positive number is 8.


Step-by-step explanation: Let, the positive number to find be x. Then, its square will be x^{2}. Sicne x^2 is 24 more than 5x, so, while forming an algebraic equation from the given information, we will write

x^{2} -24=5x\\\Rightarrow x^{2} -5x-24=0\\\Rightarrow x^{2} -8x+3x-24=0\\\Rightarrow x(x-8)+3(x-8)=0\\\Rightarrow (x-8)(x+3)=0,

which gives

x-8=0\Rightarrow x=8

and

x+3=0\Rightarrow x=-3.

Since the given number is positive, so x=-3 cannot be true. Hence, x=8 is the solution.

Thus, the positive number is 8.


satela [25.4K]3 years ago
4 0
First, let's construct an algebraic equation to formally find the answer:

Let x represent (the value of) the unknown number. 

x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.

Now we can solve for x (the number):

                 x² = 5x + 24
  x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
                   x =  -3, 8

Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!
You might be interested in
Need help with question 11 and 12
qaws [65]

Answer:

  11.  your choices are correct

  12.  132°

Step-by-step explanation:

11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.

  A: y = 2x -8 . . . . . slope = 2, an answer

  B: y = -2x +1 . . . . . slope = -2, not an answer

  C: y = -2x +7 . . . . .slope = -2, not an answer

  D: y = 2x +2 . . . . . slope = 2, an answer

  E: y = -2x -9 . . . . . slope = -2, not an answer

__

12. The marked angles are supplementary, so ...

  (3x -6)° +(x +2)° = 180°

  4x -4 = 180 . . . . . . . . . . . divide by °, collect terms

  x -1 = 45 . . . . . . . divide by 4

  x = 46 . . . . . . . . . add 1

Now, we can find the angle of interest.

∠PQR = (3x -6)° = (3·46 -6)°

∠PQR = 132°

4 0
4 years ago
What is the value of (4-2): – 3 x 4?<br> -20<br> -4<br> 4<br> 20
jarptica [38.1K]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Please help me thank you
laila [671]
Parallel lines have the same slope. The equation of the parallel line is therefore:

y = x + b

Plug in the values you are given to find b:

2 = -3 + b

b = 5
6 0
3 years ago
What is the perimeter of the track, in meters?
Serjik [45]

Answer:

i think the answer is  (12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
1. (kerry is going to the ice cream shop wi When she gets there, she sees that the coop of ice cream a person orders, pl sing th
Paul [167]

Answer:

what do u mean sing like can you rewrite what we suppose to look in it.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Solve the equation: 3y - 7 = 5y + 21? Question 1 options: -20 -14 -7/2 14
    9·2 answers
  • Describe how to round 3.987 to the nearest tenth.
    6·1 answer
  • Hey, I do not want the answer but could someone please explain to me on HOW to find the area of this figure? I forget how to :P
    12·1 answer
  • Chicken cutlets are on sale for$ 3.48 per pound how much will it cost to buy 3.5 pounds of chicken cutlets
    15·1 answer
  • 9/29/2020
    13·2 answers
  • 1 1/2 x 2 2/3 in its simplest form
    13·2 answers
  • If the area of a circle measures 25π cm2, what is the circumference of the circle in terms of π? A) 5π cm B) 10π cm C) 50π cm D)
    6·2 answers
  • Several polynomial functions are graphed. Which graph displays a polynomial function with all even exponents?
    15·2 answers
  • What’s the work and answer for this? Someone please tell me
    12·1 answer
  • Please help me how to get the answer for this one
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!