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
stellarik [79]
3 years ago
12

The product of the first and third of three consecutive integers is 3 more than 3 times the second integer. Find the integers.

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Let:

x = the middle integer

Then the 3 consecutive integers are:

x - 1, x, x + 1

The product of the first and the third integer:

(x - 1)*(x + 1) = x^2 - 1

is equal to:

3 more than 3 times the second integer:

3x + 3

So:

x^2 - 1 = 3x + 3

Solve:

x^2 - 3x - 4 = 0

(x-4)(x+1) = 0

x = -1 and 4

Since x is the middle integer, we have two sets of solutions:

3,4,5 and -2,-1,0

You might be interested in
What is 975, 462 round to the nearest hundred thousand
podryga [215]

Answer:

it would be 1 million, ( 1,000,000 )

Step-by-step explanation:

1.) look to the right of the nine , (7)

2.) 7 is greater than five therefore rounding it up to 1,000,000

5 0
3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
I need help with this question please ASAP!!!!!!!!
Viefleur [7K]
For the one on the left they are corresponding and on the right they are vertical
4 0
3 years ago
Huda opened a bank account with $30.00 and deposited $25.00 every month. After several months, she had a total of $180 in her ac
krek1111 [17]
Answer: C.) 6 months
3 0
3 years ago
Read 2 more answers
WORTH A LOT--- NEED HELP!!! AM SO CONFUSED!!!!!!!!! 5O POINTS!!!!!
erastovalidia [21]
600 x 40 I think the new dimetions will be
3 0
3 years ago
Other questions:
  • Special right triangles
    7·2 answers
  • Shawn earned $220 at his summer job. Shawn put 60% of his money in savings. How much money did Shawn put into savings?
    5·1 answer
  • Find the greatest common factor of 45m and 6m^5
    13·1 answer
  • Can you guys pls help me with this problem
    5·1 answer
  • The GCF of seven and 21 is
    6·1 answer
  • Help please I rly need it <br>60 POINTSS​
    5·2 answers
  • PLEASE HELP!!!!
    15·1 answer
  • --------------------------<br><br> sqrt 11^4
    14·2 answers
  • The area of a triangle is 32 in.² the height of the triangle is 8 inches find the base of a triangle
    13·1 answer
  • Its eitheir a or c b and d dont check out what is it image down below
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!