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
Dovator [93]
3 years ago
15

find four consecutive even integers such that the sum of the third and fourth is 6 less than four times the first​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

The numbers are 2, 4, 6 and 8

Step-by-step explanation:

let the four numbers be x, y, z and l respectively

then:

x+y+z+l

(z+l)–6=4x

since they are all four consecutive even integers

then y=x+2

z=y+2=x+4

l=z+2=x+6

since (z+l)–6=4x

then ((x+4)+(x+6))–6=4x

2x+4=4x

4=4x–2x

4=2x

2=x

You might be interested in
If fog(x) = 2x-1/x and g(x) = 5x + 2. Find a. f(x) b. The truth set of g inverse (x) + 3 = gof (x)​
RSB [31]

Answer:

Step-by-step explanation:

Remember:

(fog)(x)= g(f(x))

a)

(fog)(x)=2x-\dfrac{1}{x} =g(f(x))\\\\g(x)=5x+2\\\\Calculate\ g^{-1}(x)\\\\y=5x+2\\\\x=5y+2\ exchanging\ x\ and\ y\\\\y=\dfrac{x-2}{5} \\\\\boxed{g^{-1}(x)=\dfrac{x-2}{5}}\\\\

[(f\ o\ g)\ o\ g^{-1}](x)=[f\ o\ (g\ o \ g^{-1})](x)=f(x)\\\\g^{-1}(g(f(x))=g^{-1}(2x-\dfrac{1}{x} )=\dfrac{2x-\dfrac{1}{x}-2}{5} =\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5}  \\\\\\\boxed{f(x)=\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5} }\\\\

b)

g^{-1}(x)+3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(5x+2)\\\\\dfrac{x-2}{5} +3=\dfrac{2(5x+2)}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\\dfrac{x}{5} -\dfrac{2}{5} +\dfrac{15}{5}=\dfrac{10x}{5} +\dfrac{4}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\9x-\dfrac{1}{5x+2}=11\\\\x\neq -\dfrac{2}{5} \\\\

45x^2-37x-23=0\\\Delta=37^2+4*23*45=5509\\\\Sol=\{ \dfrac{37-\sqrt{5509} }{90} ,\dfrac{37+\sqrt{5509} }{90} \}

6 0
3 years ago
Quick question plz help ASAP!
Pie

Answer:

84°

Step-by-step explanation:

m∠TRV=2*m∠TUV;

m∠TRV=42*2=84°.

7 0
3 years ago
Need help quick please!!!<br> Could you please explain the answers to both questions? Thanks!
marissa [1.9K]
For the triangle picture:

2/6 = 5/x

2x = 30

x = 15


For the other picture:

3.2/2 = a/8

The third option applies.


Other option does not apply.
Because for Option 4,
It should be 2/3.2 = b/6.4

For option 3,
it should be b/6.4 = 5/8
7 0
3 years ago
You can win a new car in a game show if you can put 4 balls in cups in the right order. The cups are lettered A, B, C, and D and
Marina86 [1]
D goes in C
A goes in D
B goes in A
C goes in B


4 0
3 years ago
How to simplifying linear expression
snow_lady [41]
To Simplify It Put It In Y=MX+B Form .
5 0
3 years ago
Other questions:
  • How does sin 30° compare to sin -30°?
    11·2 answers
  • Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 3
    7·1 answer
  • F john can drink one barrel of water in 6 days, and mary can drink one barrel of water in 12 days, how long would it take them t
    13·1 answer
  • aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
    5·1 answer
  • claris brought 8 tickets for a total cost of $104. she had used a coupon code to get $3 off each ticket. let x be the original c
    5·1 answer
  • What is the image of (0,7) after a reflection over the x-axis
    5·1 answer
  • How would I solve this?
    9·1 answer
  • BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported! (question 19)
    13·1 answer
  • Watch help vile<br> Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....
    11·1 answer
  • Felipe decides to take his leftover money and put some of it into a saving account. He puts 1/4 of his leftovers money into savi
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!