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
Nataliya [291]
3 years ago
15

The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

<h3>              9, 11, 13, 15</h3>

Step-by-step explanation:

{k - some integer}

2k+1  - the first odd integer (the least)

5(2k+1)  - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

2k+1+2 = 2k+3  - the odd integer consecutive to 2k+1

2k+3+2 = 2k+5  - the next odd consecutive integer (third)

2k+5+2 = 2k+7  - the last odd consecutive integer (fourth)

2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>

2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

     - 10k       -10k

-2k + 16 = 8

     -16       - 16    

      -2k = -8  

    ÷(-2)    ÷(-2)  

      k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15  

Check: 9+11+13+15 = 48;  48-3 = 45;  45:5 = 9 = 2k+1

You might be interested in
Which hill described in the table is the steepest and why?
weeeeeb [17]

Answer:

C

Step-by-step explanation:

I think it is C. Sorry if I'm wrong.

3 0
2 years ago
Can someone do this for me?
EastWind [94]
Do you know your places? Like tenth place?
6 0
3 years ago
PLEASE HELP WITH ALGEBRA QUESTION NEED ASAP!!
Delvig [45]

Answer:

The function f(x) = ln(x - 4) is graphed the question options

Step-by-step explanation:

* Lets study the the information of the problem

- The graph of a logarithmic has a vertical asymptote at x=4

* That means the curve gets closer and closer to the vertical line x = 4

  but does not cross it

- It contains the point (e+4, 1)

* That means if we substitute x = e + 4 in the equation the value

 of y will be equal to 1

- It has an x-intercept of 5

* That means if we substitute y = 0 in the equation the value of x

  will be equal to 5

* Lets find the right answer

∵ f(x) = ln(x - 4)

* To find the equation of the asymptote let x - 4 = 0

∵ x - 4 = 0

∴ x = 4

∴ f(x) has a vertical asymptote at x = 4

* Lets check the point (e + 4 , 1) lies on the graph of the f(x)

∵ x = e + 4

∴ f(e+4) = ln(e + 4 - 4) = ln(e)

∵ ln(e) = 1

∴ The point (e+4 , 1) lies on the graph of the function f(x)

* To find the x-intercept put y = 0

∵ f(x) = 0

∴ ln(x - 4) = 0

* Change the logarithmic function to the exponential function

- The base of the ln is e

∴ e^0 = x - 4

∵ e^0 = 1

∴ x - 4 = 1 ⇒ add 4 to the both sides

∴ x = 5

* The function f(x) = ln(x - 4) is graphed the question options

3 0
3 years ago
First try was incorrect
KiRa [710]

Answer:

12 presents

Step-by-step explanation:

4/6= 2/3

2/3 x 18 = 12

5 0
3 years ago
What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?
Hitman42 [59]

Answer:

Step-by-step explanation:

Given

y=x^2

comparing it with standard equation x^2=4ay

so 4a=1

a=\frac{1}{4}

so Focus of parabola is (0,0)

directrix

y=-a

here a=\frac{1}{4}

y=-\frac{1}{4}      

5 0
3 years ago
Other questions:
  • |−12| = 12 True or False please help!!!!!
    5·2 answers
  • The sum of 4 interior angles of a pentagon is 402. Find the measure of the fifth interior angle.
    11·2 answers
  • Carey is trying to decide between two guitars. The first had an original price of $160, but is on sale for $100. The second had
    15·2 answers
  • Fill in the blank space<br> z2 + 5z – 36 = (z – 4)(z +_)
    13·1 answer
  • The ratio of boys to girls in homeroom are 2:3. If there are 8 boys how many girls are there
    10·2 answers
  • Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. The are both using the
    5·2 answers
  • What is the inverse of the function f(x)=1/4x-12
    15·1 answer
  • For iready . Explain if you can
    10·1 answer
  • Select the graph that represents two quantities in a proportional relationship.​
    9·1 answer
  • In an election, Candidate A received 75 votes and candidate B received 25 votes, after the first 100 votes were counted. Assume
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!