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
ale4655 [162]
3 years ago
10

Find two consecutive odd integers such that their product is 111 more than 3 times their sum​

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

The numbers are -9 and -7 or 13 and 15

Step-by-step explanation:

Let

x and x+2 ----> two consecutive odd integers

we know that

x(x+2)=3[x+x+2]+111  

Solve for x

x(x+2)=3[x+x+2]+111\\ \\x^{2}+2x=6x+6+111\\ \\x^{2}-4x-117=0

Solve the quadratic equation by graphing

The solution is x=-9, x=13

see the attached figure

<em>First solution</em>

x=-9

x+2=-9+2=-7

The numbers are -9 and -7

<em>Second solution</em>

x=13

x+2=13+2=15

The numbers are 13 and 15

You might be interested in
What is an irrational number​
postnew [5]

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers.

4 0
3 years ago
Read 2 more answers
Admission for children is $7 and $10 for adults the event was attended by 700 people and total amount collected was $6400 there
Veseljchak [2.6K]
There were 500 adults and 200 children.
5 0
3 years ago
Which of the following options have the same value as 75%, percent of 96?
dexar [7]
The choices should be B, C, and E. Hope this helps
6 0
3 years ago
How are the functions f(x)=16^x and g(x)=16^(1/2)x related? The output values of g(x) are one-half the output values of f(x) for
Goshia [24]
F(x) =16ˣ     and   g(x) = 16⁽ˣ/₂⁾

Since 16 = 2⁴, then we can write:

f(x) =2⁽⁴ˣ⁾  and  g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ

for x = 1 f(x) =  2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)

for x = 2 f(x) =  2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16

for x = 3 f(x) =  2¹² = 4096
for x = 1 g(x) = 2⁶ =  64
(√4096 = 64)

We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
 
6 0
3 years ago
Read 2 more answers
The three angle bisectors of ΔABC intersect at point P. Point P is the
lisabon 2012 [21]
<h3>Answer: C) incenter</h3>

========================================

Explanation:

If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.

--------------

extra notes:

* The centroid is found by intersecting at least two median lines

* The circumcenter is found by intersecting at least two perpendicular bisector lines

* The orthocenter is found by intersecting at least two altitude lines

* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.

* The red lines cut each angle of the triangle into two equal or congruent pieces.

5 0
3 years ago
Other questions:
  • 6.00 as a mixed number or fraction in simplest form
    6·1 answer
  • you finally get an allowance you put 2 dollars away In January 4 dollars away in February ,8 dollars away March 16 away In April
    9·1 answer
  • Mr.Roshan will buy 12 1/2 pounds Beef for a cookout.The price for the first 3 pounds of beef is $4.99 per pound. After that,The
    13·1 answer
  • What is the equation of a line with slope of 3 and a y-intercept of 12?
    6·1 answer
  • Joe purchased a 42" flat screen TV for his recreation room. The TV was originally
    5·1 answer
  • Please help! Question is in the image! Will mark brainest
    8·1 answer
  • How to differentiate cbrt(8+9xsqrt4)
    8·1 answer
  • Write the coordinates of the vertices after a translation 6 units left and 2 units down.
    7·1 answer
  • Write an equation of the line with a slope of 3/4 and a y-intercept of -2.​
    9·1 answer
  • On the number line above, where would you find D so that it is 3/4 of the way from X to Y?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!