find the first term and the common difference of an arithmetic progression in which t5=3x-y and t11=5y

t5 refers to term 5 and t11 refers to term 11

Answers

Answer 1

first term: 5x-5y

common difference: -x/2 + y

Answer 2

The common difference is d = -0.5x + y and the first term is 5x-5y

Geometric progression

The nth term of the geometric progression is expressed as:

[tex]T_n=a+(n-1)d[/tex]

where;

a is the first termr is the common  ration is the number of terms

The fifth term of the sequence is expressed as:

[tex]T_5=a+4d=3x-y[/tex]

[tex]T_{11}=a+10d=3x-y[/tex]

Take the difference of the terms:

[tex]4d-10d=3x-y-5y\\-6d=3x-6y\\d= -0.5x+y[/tex]

Get the first term:

a = 3x - y - 4(-0.5x+y)

a = 3x - y + 2x - 4y

a = 5x - 5y

Hence the common difference is d = -0.5x + y and the first term is 5x-5y

Learn more on arithmetic progression: https://brainly.com/question/14359341


Related Questions

i don’t know how to do this and it’s due in an hour someone help please

Answers

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Answers

Answer:

Tyler practiced piano = 48 minutes

Step-by-step explanation:

Missing;

Hen practiced piano = 75 minutes

Given:

Tyler practiced piano = 64 % of Hen

Find:

How long Tyler practiced

Computation:

Tyler practiced piano = 64 % of Hen

Tyler practiced piano = 64 % x 75

Tyler practiced piano = 48 minutes

solve the system of equations
−4x+3y=−2
y=x−1 ​

x =
y =

Answers

Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2

18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?

Answers

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

I need help with this fast! Thanks!
What is the value of the expression? 9 3/4−2 1/5+1/2

_ -- > Ex: 9 1/7
I need this fast!

Answers

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.

An ant travels at 45 cm every 3 minutes how far does the ant travel in 1 minute?

Answers

Answer:

15 cm every 1 minute

Step-by-step explanation:

Simply divide 45 by 3

Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?


X= -1/3

X= -3

X= 2

X= 3

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2

Answers

To compute the limit

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]

notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]

but again, this returns the indeterminate form 0/0. Applying again gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]

so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.

So the limit is 1/16.

which expression has a value of 50

Answers

Answer:

b

Step-by-step explanation:

(50 +10) / ( 5+5)

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

Answer:

The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.

The second equation is a simplified version of the first one, and can be explained in three ways:

Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.

or

Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths

or

The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.

Hope this helps!

simplify the expression 5^-3

Answers

Answer:

It is the 3rd answer, 1/5³. I checked. Happy to help. Brainliest would be thanking.

A 6-pack of envelopes costs $0.84. What is the unit price?

Answers

Answer:

$.14 is the answer :)

Step-by-step explanation:

.84/6=.14

Answer:

$0.14

Step-by-step explanation:

0.84÷6=0.14

What is 17,242 rounded to the nearest 10,000

Answers

17,242 rounded to the nearest 10,000 is 20,000.

The given number is 17,242.

We need to round the given number to the nearest 10,000.

How to round the given number to the nearest 10,000?

To round a number to the nearest 10,000, check the thousands of digits to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. In the given number the thousands are greater than 5000.

So, 17,242 rounded to the nearest 10,000 is 20,000.

Therefore, 17,242 rounded to the nearest 10,000 is 20,000.

To learn more about rounding to the nearest 10,000 visit:

https://brainly.com/question/310894.

#SPJ2

Answer for brainliest

Answers

He paid $6.42 per bag. $25.81 - $6.55 = $19.26. $19.26/3 = $6.42

A ticket at a movie theater costs $9.25.

How many tickets were purchased if the the total cost of tickets was $240.50?

Answers

Answer:

26 tickets

Step-by-step explanation:

240.50 divided by 9.25

Answer:

the answer to this is 26

Step-by-step explanation:

240.50 ÷ 9.25 = 26

What correlation is shown by the scatter plot?

Answers

linear correlation.

15 POINTS! Please solve: 3 - 2x = 13 + 3x

Answers

Answer:

x= -2

Step-by-step explanation:

hope this helped <3

3-2x = 13+ 3x
-5x = 10 divide by -5
x= -2

what is the value of (f – 9)(144)?

Answers

Use distributive property

144(f-9)

144f- (144•9)

144f-1296

due in a few hours, i'll give brainliest to the correct answer!!!

Answers

Answer:

Angle a=45, Angle b=45

Step-by-step explanation:

The angles are complementary angles which means they both add up to 90 degrees.  And if angles a and b are equal then its 90/2 which is 45.

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4

Answers

Answer:

-4

Step-by-step explanation:

When we talk of the horizontal translation, we are dealing with a change in the x value

Initially we had x alone while we had x-4 in the second

What this mean is that there is a change of -4

Answer:

Step-by-step explanation:

i put -4 and wrong, pretty sure its 4

2(2x + 3)^2– 7(2x + 3) - 4

Answers

Answer:

Solution in photo

Step-by-step explanation:

3.) Solve:
5x + 3- 3x = 2(x + 3) - 5

Answers

Answer:

0 = -2

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

5x + 3 - 3x = 2(x + 3) - 5             Simplify the left.

2x + 3 = 2(x + 3) - 5                    Remove the brackets

2x + 3 = 2x + 6 - 5                      Simply the right

2x + 3 = 2x + 1                            

It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $

Answers

Answer:

100 + 4 = 104%

40/100 X 104 = 41.6

total cost: $41.60

sales tax: $1.60

Answer:

Tax: $1.6

Total cost: $41.6

Step-by-step explanation:

40*0.04 = 1.6, 40 + 1.6 = 41.6


What is the perimeter of the shaded figure?
Square unit

Answers

Answer:

16

Step-by-step explanation:

Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant​

Answers

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

Keke had 1,0000,0000,0000,0000,00000,000, points and javonni had 8,0000”00000,00000,00000,000 and Dan need eight zillion More how much does he has before he given more?

Answers

Answer:

Step-by-step explanation:

-324/18
Plz show all the steps of how you got the answer.

Answers

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

I NEED HELP PLEASE !!!!

Answers

Answer: de

Step-by-step explanation:

?• (-10) = 90
Please help I need it now

Answers

Answer:

x = -9

Step-by-step explanation:

x • -10 = 90

x = 90/-10

x = -9

Hope this helped! <3

Write 43.75 as a reduced fraction.

Answers

Answer: 43 3/4

Step-by-step explanation:

Reduce means simplify

43.75= 43 75/100

you can dive each side of 75 and 100 by 5

it will get you to 43 15/20

again it is not reduced dived by five once more

it will get you to 43 3/4

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