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
love history [14]
4 years ago
15

Find three consecutive positive integers such that the square of the first increased by twice the second is three less than four

times the third.
Mathematics
1 answer:
Pepsi [2]4 years ago
5 0

Answer:

  3, 4, 5

Step-by-step explanation:

I like to let x represent the middle integer. Then the first is x-1 and the third is x+1. The given relation is ...

  (x-1)^2 +2x = 4(x+1) -3

We can put this equation into standard form and solve.

  x^2 -2x +1 +2x = 4x +4 -3

  x^2 -4x = 0 . . . . . subtract 4x+1

  x(x -4) = 0

So, x=0 is a solution to the equation, but an extraneous solution with respect to the problem.

x = 4 is also a solution to the equation, indicating the integers are 3, 4, 5.

_____

<em>Check</em>

3^2 +2·4 = 4·5 -3

17 = 17 . . . . answer checks OK

You might be interested in
Determine the area of the shaded sector in the circle below. Round to the nearest tenth of an inch.
Anika [276]

Answer: Area of sector MAP = 2500.8 inches²

Step-by-step explanation:

The circle is divided into 2 sectors. The shaded sector is the larger one. The formula for determining the area of a sector is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 32 inches

θ = 280 degrees

Therefore,

Area of sector MAP = 280/360 × 3.14 × 32²

= 2500.8 inches²

4 0
3 years ago
208+8x−718+2x SIMPLIFY PLEASE
Lubov Fominskaja [6]
926+10x

Explanation: Just add like variables
3 0
4 years ago
Read 2 more answers
Jeni walks 100 meters east and then 50 meters north. How big is Jeni's displacement from the starting point?
never [62]

Answer : Jeni's displacement from the starting point is, 111.8 meter.

Step-by-step explanation :

To calculate the Jeni's displacement from the starting point we are using Pythagoras theorem in ΔABC :

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2

(AC)^2=(AB)^2+(BC)^2

Given:

Side AB = 100 m

Side BC = 50 m

Now put all the values in the above expression, we get the value of side AC.

(AC)^2=(AB)^2+(BC)^2

(AC)^2=(100)^2+(50)^2

AC=\sqrt{(100)^2+(50)^2}

AC=111.8m

Thus, the Jeni's displacement from the starting point is, 111.8 meter.

4 0
3 years ago
To make each costume, Rachel uses 6 yards of material and 3 yards of trim. Suppose she uses a totoal of 48 yards of material to
harkovskaia [24]
48÷6=8
8×3=24 yrds.of trim 

6 0
4 years ago
A rectangular prism is 1 foot wide and 6 feet high. Its volume is 36 cubic feet. What is the length of the rectangular prism?
Andrej [43]
It’s 6 since 36/6=6. Hope this helps :)
5 0
3 years ago
Other questions:
  • Compute the requested average.
    6·1 answer
  • Write a real -world word problem that can be solved using elapsed time. Include the solution.
    5·1 answer
  • Numbers to add
    6·1 answer
  • The County built a new bike path. The bike path is 12 miles long. They put up mile markers at the start and end of the path and
    5·1 answer
  • A flask contains 12% acid solution and the remaining volume is water. If the flask is 8.52 inches high and the diameter is 3.71
    7·1 answer
  • a construction company loads bricks weighing 12 pounds each on a pallet weighing 6 pounds which expression gives the weight of a
    12·1 answer
  • Please help me please
    14·2 answers
  • Solve (2x^2-3x)(x^3-4x)​
    11·1 answer
  • I need some help please.
    12·1 answer
  • The absolute value of 5.8 is _________.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!