Step-by-step explanation:
I am a math genis but the is hard
In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?
Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
2) Consider the following system of three equations:
(I added an image)
===============================================
Explanation:
Subtract the second equation from the first one
[tex]\ \ \ \ 3x+3y-5z = 4 \ \ ... \text{ eq 1}\\-(4x-4y+z = -1) \ \ ... \text{ eq 2}\\---------\\\ \ -x+7y-6z = 5[/tex]
Let's call that result equation 4.
Now focus on equation 3 and equation 4
equation 3 is -x+7y-6z = 2
equation 4 is -x+7y-6z = 5
Note how the left hand sides are identical, but the right hand sides are different. This means that we have an inconsistent system with no solutions. No matter what numbers we pick for x,y,z, there is no way to make all three given original equations to be true.
-7x-8=x-8(1-5x)
Help me please
Answer:
The answer is x = 0
Step-by-step explanation:
-7x - 8 = x - 8(1-5x)
Simplify and FOIL.
-7x - 8 = x - 8 + 40x
-7x - 8 = 41x - 8
Add 7x to both sides.
-8 = 48x - 8
Add 8 to both sides.
0 = 48x
x can only be 0 to multiply it by any other number and get 0.
x = 0
What is the slope of the line that passes through the point (8, - 4) and (6, 2) ? Write your answer in simplest form.
Answer:
y= -3x + 20
Step-by-step explanation:
just graph it out
Richard had his car repaired at a body shop.
The parts cost $100.
The technician charged $52 per hour.
. His total bill was $308.
How many hours did the technician work on Richard's car?
Answer:
5.9 hours
Step-by-step explanation:
Rewrite 47/9 as a mixed number in lowest terms
Answer: As an improper fraction. (numerator larger than denominator): 47/9 = 47/9
As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 47/9 = 5 2/9
As a decimal number: 47/9 ≈ 5.222222222222 ≈ 5.22.
As a percentage: 47/9 ≈ 522.22%
sorry for putting so much-
A group of people were asked if Marilyn Monroe had an affair with JFK. 184 responded "yes", and 387 responded "no". Find the probability that if a person is chosen at random, the person does NOT believes Marilyn Monroe had an affair with JFK.
Probability (round to 4 decimal places)
Answer:
0.6778 to 4 dec. places.
Step-by-step explanation:
That is 387 / (184+387)
= 387 / 571
= 0.677758
HELP AGAIN PLS
THX BRAIN
Answer:
last 3 are right
Step-by-step explanation:
Answer:
Answer option 2, 3 and 4.
can someone help me????????????
Answer: +2
Step-by-step explanation: :)
2x?=9.6 plz halp the hammer head i will hammer the fence for you
Answer:
x=4.8 :)
Step-by-step explanation:
9.6/2=4.8
How many solutions does this equation have?
4 − 6r = –9r + 4
Answer: none
Step-by-step explanation:
Can anyone help please ??
Answer:
-0.2
Step-by-step explanation:
Answer:
-0.2
Step-by-step explanation:
Question:
A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of
cookies made, y, to the number of cups of flour used, x Round your answer to the nearest tenth
es -
HELP ASAP
Answer:
13.7 cookies per cup
Step-by-step explanation:
Here, we want to write the constant of proportionality that relates the number of cookies to the
number of flours.
What we do
simply here is to divide the number of cookies by the number of cups of flowers
That would be;
y/x = 48 cookies/3.5 cups = 13.7 cookies per cup
1. X/5 + 6 <2*
A.X> 20
B.X-20
C.x<-20
D.x<20
Answer:
C. x←-20
Step-by-step explanation:
2-6=-4-4•5=-20a) Find the value of: 659 x
17 + 659 x 13 + 659 x 70
Answer:
1000000
Step-by-step explanation:
If 2+2 is four and 5+5 is ten wth is this
Answer:
Haha
Step-by-step explanation:
Find the maximum or minimum value of the parabola.
y = –2x^2 – 16x + 20
Answer:
y=-20x+20
Step-by-step explanation:
I need help with the maths
Answer: 1. Function 2. Not a function 3. Not a function
Step-by-step explanation:
( this is an guess so don’t judge much)
Answer: a and b are functions c is not a function
Step-by-step explanation:
I’m smart
ano ang fraction ng 0.8
Answer:
this some sortof point tranfer
Step-by-step explanation:
Solve the literal equation 4a-2b=8b-5a
Answer:
if your solving for a its a=10b/9
Step-by-step explanation:
You have a piece of paper, 10cm by 10cm. The
area is 100 cm2. For some reason, you need a
square piece of paper with an area of 50 cm2.
Using the paper you have, what's
an easy way of getting the new
square?
What will be the length of
each side of the new square?
What will be the new perimeter?
i need help with this please
Answer:
Yes because the y value is 0 thus the ordered pair is located on the x - axis
Step-by-step explanation:
i will give u brainliest
Answer: 0.14
Step-by-step explanation:
fourteen nundredths = 0.14
Answer:
is it 1400, 1000+400, or fourtenths hundreds srry if its not helpful im just confused but i tried T^T
A bakery sold a total of 200 cupcakes in a day, and 69% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Answer:
200 / 69% is 289.855072464
Find the quotient of 1 1/5 and 3 4/5
Answer:
0.2 and 0.8
Step-by-step explanation:
A company can secure additional capital without going into debt by doing
which of the following?
A. Going public
B. Taking a business loan
C. Buying out another company
D. Bargaining for wage reductions
Answer:
A. Going public should be the answer!
Let me know if thats right or not!
Answer:
When a company can secure an additional capital without going into debt the best and suitable answer is Going public.
the question is in the picture
Is 0.819 meters greater than 0.85 meters and why
Answer:
mo
Step-by-step explanation:
.819 to .850
.85 is bigger
Answer:
no
Step-by-step explanation:
No because .85 meters is .031 meters greater then .819
8s+15-4s=7s +6 solve for s
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~8s~and~-4s:[/tex]
[tex]\bold{8s+(-4s)=4s}[/tex][tex]2.)~Subtract~7s~from~both~sides:[/tex]
[tex]\bold{7s-7s=Cancels~out}[/tex][tex]\bold{4s-7s=-3s}[/tex][tex]3.)~Subtract~15~from~both~sides:[/tex]
[tex]\bold{15-15=Cancels~out}[/tex][tex]\bold{6-15=-9}[/tex][tex]4.)~Divide~both~sides~by~-3:[/tex]
[tex]\bold{-3s}[/tex] ÷ [tex]\bold{-3s=Cancels~out}[/tex][tex]\bold{-9}[/tex] ÷ [tex]\bold{-3=3}[/tex][tex]\bold{When~there~is~2~negatives~being~divided,~the~quotient~is~always~positive.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\boxed{s=3.}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]
what's the equation?
Answer:
y=4/5x-2
Step-by-step explanation: