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
____ [38]
3 years ago
7

The product of two consecutive integers is 5 more than three time the larger. What are the integers?

Mathematics
1 answer:
kvasek [131]3 years ago
7 0
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!

So the integers are -7 and -6.
You might be interested in
Are these all correct?
sladkih [1.3K]
Problem 1) Line n is the line of symmetry (not line o) because we can fold the lower half to match up with the upper half. The folding line is over line n.

Problem 2) I agree. Nice work on getting the correct answer. The folding line is a vertical line through the center

Problem 3) It's hard to say for sure, but I think the top left corner is NOT reflective over any line of symmetry no matter how you rotate it. So I would uncheck that box. I agree with your other choices though. Great job with those. 
4 0
3 years ago
What is a irregular concave polygon
Anvisha [2.4K]

Answer:

An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.

Step-by-step explanation:

3 0
3 years ago
What does x equal ?<br> quick answer!!!
Anna35 [415]
136 should be your answer
4 0
3 years ago
Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...
Strike441 [17]

Given:

The given arithmetic sequence is:

-3,-1,1,3,...

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

-3,-1,1,3,...

Here, the first term is -3. So, b(1)=-3.

The common difference is:

d=-1-(-3)

d=-1+3

d=2

The recursive formula of an arithmetic sequence is:

b(n)=b(n-1)+d

Where, d is the common difference.

Putting d=2, we get

b(n)=b(n-1)+2

Therefore, the recursive formula of the given arithmetic sequence is b(n)=b(n-1)+2, where b(1)=-3.

8 0
2 years ago
What is the equation in standard form of the line shown on the graph? The equation of the line in standard form is ​
Sloan [31]

Answer:

y=3/4x+-3

Step-by-step explanation:

first use rise over run to find the slope. go up 3 and over four making the slope 3/4. nxet locate the y-intercept which is clearly at -3. now just substitute the values into the equation y=mx+b

4 0
3 years ago
Read 2 more answers
Other questions:
  • -9=6+x zzzzZZZzzzzzzzzz
    6·2 answers
  • A $400,000 house increases its value at 2.25% each year. in the exponential model of the form , which value would represent the
    5·2 answers
  • A loaf of bread costs the same as 3 apples. i bought 3 loaves and 5 apples for £5.60. how much does each item cost
    13·1 answer
  • A rectangle measures 6 3/4 cm by square root of 121 cm. What is the perimeter of the rectangle to the nearest tenth?​
    8·2 answers
  • What is the equivalent fraction for 15/18
    7·2 answers
  • Simplify. 8m+4n+7m−2n What is the answerWhich expression shows the result of applying the distributive property to 3(2x−6) ?
    13·1 answer
  • Consider the functions:
    13·1 answer
  • Mrs. Benton treats herself to a day at Nail Spa. The services she receives are a manicure for $25 and a pedicure for $30. She al
    11·2 answers
  • Pls give me a real answer and the correct one if u try to be a bot ill report you
    11·1 answer
  • LCD of 11/12 and 7/60
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!