The sum of two numbers is 60. The larger number is 20 more than the smaller number. What are the numbers? Larger number: Smaller number: ​

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Answer:

yes

Step-by-step explanation:

brainiest plz

Answer:

it will be the first the 5th the 2nd and the 3rd

Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

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Answer:

Dividend

Step-by-step explanation:

Dividend ÷ Divisor = Quotient

Answer:

Dividend

Step-by-step explanation:

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

Answer:

x ≥ 3

Step-by-step explanation:

the domain of a graph consists of all the input values shown on the x -axis

The domain of the square root function graphed below would be x ≥ 3

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.

The domain is all  real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)

so, the range is all real numbers for x>3

Hence, the domain of a graph consists of all the input values of the x -axis.

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Answer: -30

Step-by-step explanation:

-30 bc it has the same functions.

Answer:

points -3,0,4 on a graph

Step-by-step explanation:

correct on edmentum or plato

Answer:

B) 3.7(1.15)

Step-by-step explanation:

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)

m = [tex]\frac{-17-3}{19-9}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

Answer:

11,60,62

Hope this helps

Answer:

50%

Step-by-step explanation:

Long division

Answer:

50%

Step-by-step explanation:

To find the percent, divide 75 by 150 and multiply by 100:

75/150

= 0.5

0.5(100)

= 50

So, 50% of the customers ordered coffee

Answer:

Concept: Linear Systems

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values

Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!

Answer:

73.6%

Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.

Answer:

2 groups of 3 boys = 6

Step-by-step explanation:

Answer:

If you're on edge and it's the multiple choice one it would be a

Answer:

gcd (50; 75) = 25 = 5^2:

Step-by-step explanation:

hope it help

The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.

We are given that;

The three numbers = 25, 50, 75

Now,

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.

To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.

The prime factorization of 25 is 5*5

The prime factorization of 50 is 2 x 5*5.

The prime factorization of 75 is 3 x 5*5.

The common factors of 25, 50 and 75 are 1 and 5*5.

Therefore, by factorization the answer will be 25.

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Answer:

So, the system of equations are

x+y=40

x= 3 y

Step-by-step explanation:

Let's make system of equations for the given information.

Let x number of bracelets and y number of necklaces made.

So, for the information

She makes a total of 40 bracelets and necklaces, we can set up equation as

x+y=40

Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as

x=3 y

Answer:

7.25S + 10.50L ≤ 90

The system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.

Juan must buy more than 5 pizzas to feed the team.

That is, S+L>5

Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L

Juan collects $90 for pizza. So, 7.25S+10.50L≤90

Therefore, the system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

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Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!