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Consider these functions:

For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions

Answer: She will need three cups scores.

Step-by-step explanation:

3/4 divided by 1/4 is three.

Answer:

do you have an image for that?

Step-by-step explanation:

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

Answer:

b) 0.0042495

c) 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Step-by-step explanation:

mean of 7.5 ounces and a standard deviation of 1.33 ounce

When random number of samples are given, we solve using z score with the formula

= z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?

(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√25

z = (8.2 - 7.5)/1.33/5

z = 2.63158

Probability value from Z-Table:

P(x<8.2) = 0.99575

P(x>8.2) = 1 - P(x<8.2) = 0.0042495

(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?

For n= 10

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√10

z = 1.66436

Probability value from Z-Table:

P(x<8.2) = 0.95198

P(x>8.2) = 1 - P(x<8.2) = 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Answer:

The answer is "25680.508"

Step-by-step explanation:

Use formula:

[tex]A=Pe^{rt}[/tex]

   [tex]=20000 \times e^{((0.05) \times (5))}\\\\=20000 \times e^{(.25)}\\\\=25680.508[/tex]

Answer: Here are the answers. I walked you through 16 in my answer.

16. 3x=2y

    1 =y-x

x=2 and y=3  

17. $2.15=.10d+.05n

      d=30-n

There are 17 nickels and 13 dimes

18. 18=4x+5y  (since that's the total amount of holes and each par is either 4 or 5 strokes each)

     4x=79-5y  (since there are 79 total strokes and each was either 4 or 5)

No solution

Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal  to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.

3x=2y                      

               so          3x=2(x+1)

y=x+1  

3x=2(x+1)                 --- orig equation

3x=2x+2                   --- distributive property (Multiplied x+1 by 2)

x=2                           ---- subtracted 2x from both sides

**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).

For 18, the lines are parallel so they never intersect. There is no solution.

answer:

16. 3x = 2y, 1 = y - x → 2, 3

17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels

18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6

i hope this helps!! ♡

Answer:

154 mins or 2 hour and 34 mins

Step-by-step explanation:

Step 1:

22 : 4          Ratio

Step 2:

22 : 4 = x : 28          Equation

Step 3:

4x = 616       Multiply

Step 4:

x = 616 ÷ 4        Divide

Answer:

x = 154

Hope This Helps :)

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer:

3354 ???

Step-by-step explanation:

i think thats right, have a good day! :)

plz give me brainliest if u can

Answer:

the slope is 4

Step-by-step explanation:

the slope is found by subtracting  the y values for the numerator and then subtracting the x values for the denominator

y values -1-3=-4

x values 5-6=-1

slope=-4  

slope=4

           -1

Answer:

4

Step-by-step explanation:

Formula for solving for the slope of two points-

(y2-y1)/(x2-x1)

(-1-3)/(5-6)=

-4/-1=

4/1=

4

Answer:

1/4

Step-by-step explanation:

divide the value in feet by 5280 because 1 mile equals 5280 feet.

Answer:There are 5280 feet in one mile; thus

1320/5280 = 1/4

Step-by-step explanation:

sorry if its not correct }:

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

Answer:

eefhhdfbhvfhfajfdhjk,nm?sorry dont knwo

Step-by-step explanation:

No choices given for your question.

Answer: 1234386026

Step-by-step explanation:

Answer:

1,234,386,030

Step-by-step explanation:

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Find (f - g)(3)

Answer:

-14/3 -5.1 -4

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

subtract 2x from both sides

2x-3=7

add 3 to both sides

2x=10

divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Original Equation:

4x - 3 = 2x + 7

Add 3 to both sides

4x = 2x + 10

Subtract 2x from both sides

2x = 10

Divide both sides by 2

x = 5

Hope this helps :)

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Answer:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Step-by-step explanation:

Given that:

Fixed perimeter of the rectangular shed = 68 ft

To find:

The dimensions of the largest shed that can be built = ?

And

Area of the largest shed that can be built = ?

Solution:

First of all, let us have a look at the formula for perimeter of a rectangular shape shed:

Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)

68 = 2 [tex]\times[/tex] (Length + Width)

Length + Width = 34

The largest possible values are only in the case when the rectangle is a square.

i.e. Length = Width

Therefore values of length and width are:

Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]

Area of a square is given by the formula:

[tex]A = Side \times Side[/tex]

[tex]A[/tex] = 17 [tex]\times[/tex] 17  = 289 sq ft

The answer is:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

Answer:

65R3

Step-by-step explanation:

260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.

Hope this helps :D

Answer:

The probabilitiy of pulling a seven is 1/13 or 7.69%

Step-by-step explanation:

Im not sure if you wanted just the probability of pulling a seven or if you wanted others as well but to find out the probability  you take the total amount of cards, 52, then you take the total amount of 7's in the deck which is 4, one for each card type.

Therefore you get 4/52 or simplified to 1/13 by dividing by 4 on the numerator and the denominator.

The probability is defined as the ratio of favorable outcome to the total number of outcomes. The probability of getting a 7 out of deck of cards is 1 / 13.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

The total number of cards = 52

The types of card present in a the deck = 4.

Suppose A be the event of selecting one 7 out of a deck of cards,

Then, the probability of event A can be given as,

P (A) =  Number of 7's in the deck ÷ Total number of cards in the deck.

Since, there are four types of cards, the number of 7's in the card is 4.

Thus, P(A) = 4 / 52

    => P(A) = 1 / 13

Hence, the probability selecting one 7 out of a deck of cards is P(A) = 1 / 13.

To know more about probability click on,

https://brainly.com/question/11234923

#SPJ3

Answer:

Answer. Nestor is actually one of the leaders of the Greeks in the Trojan War which figures prominently in Homer's Iliad. He is absolutely not a character in the novel The Merchant of Venice but he has been referred in the extract because he represents wisdom and good moral judgment.

Hope this helps, have a great day/night, and stay safe!

Answer:

15

x

+

10

y

Factor

5

out of

15

x

.

5

(

3

x

)

+

10

y

Factor

5

out of

10

y

.

5

(

3

x

)

+

5

(

2

y

)

Factor

5

out of

5

(

3

x

)

+

5

(

2

y

)

.

5

(

3

x

+

2

y

)

Step-by-step explanation: