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
Pepsi [2]
3 years ago
14

Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
Let's say our first integer is "a".

how to get the next consecutive EVEN integer?  well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a           a + 2           a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10  some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}
\\\\\\
3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14
\\\\\\
0=a-14\implies 14=a

what are the other two consecutive integers?  well, a + 2 and a + 4.
You might be interested in
Which option is an even function?
Grace [21]

The correct answer is option D. Which is the even function is f (x) = x⁴.

<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

To know more about even functions follow

brainly.com/question/2284364

#SPJ1

4 0
2 years ago
Which two transformations were preformed
Delicious77 [7]

a stretch by 3 and a rotation

7 0
3 years ago
Find the inverse function in slope-intercept form (mx+b):<br> f(x)=-x+12
Ostrovityanka [42]

Answer:

12 - x

Step-by-step explanation:

y = -x + 12

Replace x with y.

x = -y + 12

Solve for y, x = -y + 12

= 12 - x

Hope this helps, please mark brainliest if possible. :)

6 0
2 years ago
Estimate the quotient 63.5 dividend by 5
Gala2k [10]
12.70 or rounded 13 yeeeeeeeeee boiiiiiiiiiiii
3 0
3 years ago
Sarah has 3 bags of
Bumek [7]

Answer:

19

Step-by-step explanation:

16+3=19 the key word total means you add

6 0
3 years ago
Other questions:
  • Please please please help!!!
    5·1 answer
  • The curve y=f(x) called Tractrix has the following property: The derivative at any point x satisfies the formula:
    9·1 answer
  • How to find the exact value of z
    6·1 answer
  • What is 60488 rounded to the nearest tenth nearest ten thousand
    11·1 answer
  • Katie earns money by selling lemonade. She keeps track of how much she spends and makes each weekend. The following are her prof
    5·1 answer
  • Can someone help me find AC​
    13·1 answer
  • PLEASE HELP!!!! <br> Find m
    7·1 answer
  • Ryan has a box of markers. It has 45 markers that are some shade of blue. The blue markers represent 25% of the total markers in
    6·2 answers
  • What is the least common multiple of 4 and 8? Enter your answer in the box.
    14·1 answer
  • Simplify the expression.<br> -2.2f + 0.8f - 14-5
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!