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
Ivenika [448]
4 years ago
13

Find three consecutive integers whose products is 85 larger than the cube of the smallest integer

Mathematics
1 answer:
Yakvenalex [24]4 years ago
5 0

Let the numbers be x, x + 1 and x + 2.

From the information given:-

x(x + 1)(x + 2) = x^3 + 85    

Solving for x:-

x(x^2 + 3x + 2) = x^3 + 85

x^3 + 3x^2 + 2x = x^3 + 85

3x^2 + 2x - 85 = 0

3x^2 - 15x + 17x - 85 = 0

3x(x - 5) + 17(x - 5) = 0

(3x + 17)(x - 5) = 0

x = -17/3 ,  5

We take x = 5 because x is an integer.

Answer:- the 3 integers  are  5, 6 and 7.



You might be interested in
Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,
musickatia [10]

Answer:

Triangle: 120

Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

6 0
3 years ago
Can someone please help which is the answer
Citrus2011 [14]
B. Angle B= Angle E
As this would only prove the AAA Similarity theorem, but not any Congruence Rule
3 0
3 years ago
Please help me!!
ipn [44]

{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0
3 years ago
A car averages 16.8 miles per gallon and uses 265 gallons traveling cross-country. What was the distance the car traveled
Norma-Jean [14]

1 gallon = 16.8 miles

265 gallons = 16.8 x 265 = 4452 miles


Answer: 4452 miles

8 0
4 years ago
What is the equation of a circle with center (−8, 3) and radius 8?
erastova [34]

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

5 0
2 years ago
Other questions:
  • David bought a cape and mask for each of the 9 boys at his party. The capes cost $5.25 each and the masks cost $4.35 each. How m
    10·1 answer
  • Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a poly
    12·1 answer
  • Which is the equation of a line that passes through the point (3,-4) and has a slope of 2.
    5·1 answer
  • What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?
    5·2 answers
  • Muriel has kept track of her income and expenses for the week in the spreadsheet below. How much was Muriel’s restaurant bill? A
    9·1 answer
  • -5.5x+0.56= -1.64 What does x equal to ?
    12·1 answer
  • Can someone help me with this. Will Mark brainliest.
    11·2 answers
  • What does it mean to be proportional?
    9·1 answer
  • What is 22% of 50?<br> ОА.<br> ОВ.<br> 28<br> Ос.<br> 22<br> OD. 11
    11·1 answer
  • Use an equation to find the value of k
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!