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
QveST [7]
3 years ago
7

Suppose that you have three consecutive positive integers where the product of the smaller and larger number is equal to 15 more

than 6 times the middle number. Find the 3 numbers, be sure to include all possibilities.
Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

The numbers are either {-3, -2, -1} or {7, 8, 9}.

Step-by-step explanation:

Let the smallest integer be represented by x. The middle number is x+1, and the largest number is x+2.

The product of the smaller and larger number is (x)(x+2).

15 more than 6 times the middle number is 6(x+1)+15.

(x)(x+2)=6(x+1)+15

x^2+2x=6x+6+15

x^2+2x=6x+21

x^2-4x-21=0

(x-7)(x+3)=0

x=-3 or x=7

The numbers are either {-3, -2, -1} or {7, 8, 9}.

You might be interested in
Please solve this....
ivann1987 [24]

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

5 0
3 years ago
What is the value of k in the product of powers below?
drek231 [11]

Answer:

Ba0.12 if b have x plus 5.10 need to be A

7 0
3 years ago
Jefferson hit 30% of the 240 times he went bat
miv72 [106K]
So "of" means multiply and 30% is .3 so multiply .3 by the 240 times and u get... 72!

7 0
3 years ago
During the 2005-2006 term. 184 decisions were announced. This is a 44.6% decrease
Artyom0805 [142]

Answer:

332.

Step-by-step explanation:

Let the number of decisions made in 1982-1983 be x.

44.6% = 0.446.

This is a decrease,  so the number of decisions announced in 2005-2006 is

(1 - 0.446) * x and this =  184.

0.554x = 184

x = 184/0.554

x = 332.

8 0
2 years ago
Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. She also gets $3,520 in paid time off per
solmaris [256]

She would get $58,196 in benefits.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also
    7·2 answers
  • Paul sold 162 cans of lemonade in 5 hours. About how many cans of lemonade did he sell each hour.
    14·1 answer
  • The height of the Eiffel Tower is 1050 feet. From the top, the angle of depression to a soccer ball on the ground is 20 degrees.
    11·1 answer
  • PLEASE HELP QUICK!!!!!!!!! Given the equation x2 + 4x + c = 0, determine a value for c that gives the equation: a) Two real solu
    15·1 answer
  • A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan
    11·1 answer
  • A sphere with a radius of 15 cm has the same volume as a cylinder with a radius of 5 cm. What is the height of the cylinder?
    10·1 answer
  • PLEASE CAN ANYONE HELP!!!
    12·2 answers
  • Whats the percentage?
    15·2 answers
  • Please help!!!!!!!!!!
    13·1 answer
  • Help<br><br> explain how to do
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!