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
lukranit [14]
3 years ago
6

Find two consecutive numbers with a product of 121

Mathematics
1 answer:
Crank3 years ago
6 0
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
You might be interested in
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
Which graph shows y=2⌈x⌉−3?
umka2103 [35]

Answer: C

Step-by-step explanation:

5 0
3 years ago
Round each number to the nearest ten.
Bezzdna [24]
552.17 rounds to 550
48.35 rounds to 50
550-50=500
5 0
3 years ago
HELP WILL GIVE BRAINLIEST!!!!
iris [78.8K]

Answer:

2 x 20^2

Step-by-step explanation:

I did it on paper and looked it up to make sure

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAPPP! please HELPPP! WILL GIVE 25 POINTS PLUS BRAINLIEST!! Jayden wants to fence a rectangular area for his garden
VladimirAG [237]

Answer:

Y - 4 + x < 32

x + 4 + y < 32

Step-by-step explanation:

Y - 4 + x < 32

x + 4 + y < 32

Please let me know if any are wrong!

Have an amazing day!

PLS MARK BRAINLIEST!

8 0
2 years ago
Other questions:
  • I don't understand numbers 4-6. Please show work, thank you. c:
    10·2 answers
  • The difference between 2 numbers is 15.if the bigger number is 98,what is the smaller number?
    10·1 answer
  • on rectangle DEFG below if D is located at (-1,-1) and F is located at (4,-8) what is the length of GE
    12·1 answer
  • What is the dependent variable in the graph below? a. month of the year b. days of snow fall c. time d. amount of snowfall PICTU
    9·1 answer
  • Find the area and select one of the answers in the file
    13·2 answers
  • What is the length of the diagonal of the rectangle?
    14·1 answer
  • I need help with these two due today plssss help me
    8·2 answers
  • It took 4 balloons to make the duck float. The duck weighs 56 grams. With 1 balloon, how many grams could you make float?​
    9·1 answer
  • Plz help due tonight
    9·2 answers
  • Exit Ticket
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!