Write an algebraic expression for each phrase below. The sum of x and y.

Answer:

[tex]f(n) = 5 + f(n - 1)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 5n - 2[/tex]

Required

Write a recursive expression

[tex]f(n) = 5n - 2[/tex]

When n = 1

[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]

[tex]f(1) = 3[/tex]

When n = 2

[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]

[tex]f(2) = 8[/tex] can be rewritten as

[tex]f(2) = 5 + 3[/tex]

Substitute 3 for f(1)

[tex]f(2) = 5 + f(1)[/tex]

Express 1 as 2 - 1

[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)

When n = 3

[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]

[tex]f(3) = 13[/tex] can be rewritten as

[tex]f(3) = 5 + 8[/tex]

Substitute 8 for f(2)

[tex]f(3) = 5 + f(2)[/tex]

Express 2 as 3 - 1

[tex]f(3) = 5 + f(3 - 1)[/tex]  ------ (2)

Write out (1) and (2)

[tex]f(2) = 5 + f(2-1)[/tex]

[tex]f(3) = 5 + f(3 - 1)[/tex]

Replace 2 and 3 with n in both cases; This gives

[tex]f(n) = 5 + f(n - 1)[/tex]

Hence;

The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]

Answer:

see explanation

Step-by-step explanation:

For a relation to be a function each value of x on the domain can only map to one unique value of y in the range.

For the given point, we can see that

x = 1 → y = 4 and x = 1 → y = 1

This breaks the function rule, thus the set is not a function

Explanation:

The list of first numbers of the ordered pairs is ...

  1, 3, 1, 9, 0.

There is a repeated value, 1, so the relation cannot be a function. Each domain value can only appear once in a relation that is a function.

Answer:

Step-by-step explanation:

4d + 7e = 68

-4d - 6e = -72

e = -4

4d  + 7(-4) = 68

4d - 28 = 68

4d = 96

d = 24

(24, -4)

Step-by-step explanation:

-4.5x -2y = -12.5 -------(1)

3.25x -y = -0.75 --------(2)

From (2) we can make y the subject of the relation

y = 0.75+3.25x -------(3)

Input 0.75+3.25x into y in (1)

-4.5x -2(0.75+3.25x) = -12.5

-4.5x -1.5- 6.5x = -12.5

-4.5x -6.5x -1.5 = -12.5

-11x = -12.5 +1.5

-11x = -11

x = 11/11

x = 1

If x = 1,substitute 1 into x in (3)

y = 0.75+3.25x

y = 0.75 +3.25(1)

y = 0.75 +3.25

y = 4

x = 1,y = 4

Answer:

There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys

Step-by-step explanation:

57 toys divided into groups of 4 toys.

57/4= 14.25 or 14 1/4 GROUPs

Answer: I need help on this tooooooo

Step-by-step explanation:

Answer:

Yes. The term [tex]\sqrt{}[/tex] means "square root".

If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.

Answer:

-2r+8

Step-by-step explanation:

4r-7r+8+r

5r-7r+8

-2r+8

-2r+8

The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8

Answer:

10

Step-by-step explanation:

17-7=10

Answer:

10

Step-by-step explanation:

f(x) = n - 7

f(17) = 17 - 7

f(17) = 10

Answer:

Step-by-step explanation:

the scientific notation of 91,007,500

9.10075 x 10^7

Answer:

three times a number minus two

Step-by-step explanation:

x= times a number

Answer:

37.5 miles per hour

Step-by-step explanation:

To find the miles per hour, you divide the miles by hours. If you divide 225/6, you get 37.5. You can double check this by dividing another set, like 450/12 and see that you still get 37.5. Hope this helps! :)

Answer:

Jada drank 3/4 times as much water as Elena.

Answer:

Jamie's string is 3ft and 9in

Step-by-step explanation:

10ft 1in

-6ft 4in

=3ft 9in

Answer:

3ft 9 in

Step-by-step explanation:

So, in each foot there's 12 inches. Knowing that, the operation you use is subtraction. So you do 10 ft 1 in - 6 ft 4 in. If you do that operation knowing that 12 inches=1 foot, then you should get 3 ft 9 in.

Please let me know if there is still any confusion.

Answer:

Step-by-step explanation:

Base 5 uses 0, 1 , 2, 3, 4

When we add 2+ 1 = 3

When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1

4 + 3= 12

In subtraction, 32 - 4

From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.

7-4=3

32 -4 = 23

I have attached the sums

Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

Answer:

Your answer is going to be D

Step-by-step explanation:

Add 100° with 30° and subtract that sum from 180°.

Answer:

without

Step-by-step explanation:

Anything without a decimal is greater than something that does.

Answer:

without

Step-by-step explanation:

If it has no decimal, it is greater than a number with a decimal. The answer is without.

Answer:

-5

Step-by-step explanation:

-9c - 15 + 7c + 10 + 2c

-9c + 7c + 2c -15 + 10

-9c + 9c - 5

-5

Answer:

5

Step-by-step explanation:

-9c - 15 + 7c + 10 +2c

-9c + 9c + -15 + 10

5

Answer:

8

Step-by-step explanation:

So since there is 3 days and the total is 24 you divide and that will give you 8! Integers are a whole number btw (:

Answer:

OP = 4

Step-by-step explanation:

N is the midpoint of MO.

Since NO = 3, then MN = 3, and MO = 3 + 3 = 6

MO + OP = MP

6 + OP = 10

OP = 4

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given the following details as:

Now, from the figure, We have,

Since O is between M and P and N is the midpoint between MO

MP = MN + NO + OP _____(1)

Now,

N is the midpoint of MO so,

MN = N0

N0 = 3 and MP = 10 ____(2)

MN = NO = 3 _______(3)

From (1)

MP = MN + NO + OP

Substituting (2) and (3) in (1)

10 = 3 + 3 + OP

10 = 6 + OP

Subtracting 6 on both sides

10 - 6 = 6 + OP - 6

4 = OP

OP = 4

Thus, OP = 4.

Learn more about Line here:

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Answer:

-p^2-6r^2-2r-8

Step-by-step explanation:

When you simplify it you get that. Hope this helped :)

The solution to the given expression is -8 - 2r - p² - 6r² which is determined by performing the arithmetic operation.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The given expression is given in the question

(10 – 7r - p²) + (-6r² - 18 +5r)

Open the parentheses and rearrange the terms,

10 - 18 - 7r + 5r - p² - 6r²

Apply the arithmetic operation in the likewise terms,

-8 - 2r - p² - 6r²

Therefore, the solution to the given expression is -8 - 2r - p² - 6r²

Learn more about the algebraic expression here :

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Answer:

Domain:The set of possible input values (using the “x” variable), which produce an output from a function.

Step-by-step explanation:

have a great day :)

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1

Answer:

Step-by-step explanation:

The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.

Answer:

i wish i could

Step-by-step explanation:

Answer:

32+(6w)

Step-by-step explanation:

add 32 that he already recorded plus 6 times w for however many more weeks he records for

Answer:

(1,5)

Step-by-step explanation:

y=3x+2

x+2y = 11

Substitute the whole value of y to the second equation:

x+ 2 (3x +2)=11

Distribute 2

x+6x+4=11

Combine like terms:

7x=7

x=1

Plug in the x value to any equation:

y=3(1)+2

y=3+2

y=5

Answer:

15 and 24

Step-by-step explanation:

distribute the -1 to the -15 amd it will cancel out same for the other

Answer:

x = 4.5

Step-by-step explanation:

l = 2x

p = 4l

note: 4l in this case because it is a square

plug in l into equation p

36 = 4(2x)

36 = 8x

divide by 8

x = 4.5