Which graph shows the strongest positive correlation?





A. Graph A
B. Graph B
C. Graph C
D. Graph D

[tex](f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x^2+6\\g(x) = 7x[/tex]

So

[tex](f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917[/tex]

Hence,

[tex](f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917[/tex]

Keywords: functions, Function composition

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Answer:

2 tomato plants will left with Clara.

Step-by-step explanation:

Length of the garden = l = 7 feet

Width of the garden = w = 4 feet

Area of the garden = l × w

Area occupied by single tomato plant =

Number of tomato plants in the garden :

tomato plants

Number of tomato Clara has is 30

Number plants leftover with Clara = 30 - 28 = 2

2 tomato plants will left with Clara.

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Step-by-step explanation:

Answer:

34 bags

Step-by-step explanation:

Area =L*W

20*15 = 300 square feet

She needs to plant 300 bulbs

300/9 = 33.33333(33(1/3) bags

Since she need to purchase bags containing 9 bulbs each, she needs to buy 34 bags (It ill be 6 left since 34 bags =306 bulbs)

If she buys 33 bags  it will be only 297 (3 short)

Answer: 1,500

Step-by-step explanation:

500 times 300 is 150,000

Divide the product by 100 is 1,500

Answer:

8 and 23

Step-by-step explanation:

let the 1st equation be i and 2nd be ii

now putting the value of x in eqn ii, we get

12x -4×(3x-1) = 12

12x-12x+4=12

x=12-4

x=8

again,

y=3×8-1

y=23

Answer:

the answer is b

Answer:

4 M + 2 N = 120

Step-by-step explanation:

If we name "M" the number of tables for four people, and "N" the number of tables for two people, then the total number of people to be seated using M tables (of four people) would be the product "4 * M".

Similarly, the total number of people to be seated if the owner has N number of two person tables, would be: "2 * N".

Therefore, if the owner has M four people tables and N two person tables, the total number of people seated at the restaurant would be the addition:

4 * M + 2 * N. Since he wants this number to be 120, we complete the equation making this expression equal to 120:

4 * M + 2 * N = 120

The equation that represents this situation is 2x + 4y = 120, where x represents the number of tables for two and y represents the number of tables for four. Thus, this mathematical equation reflects the owner's seating arrangement plans for his restaurant.

Let's use x to represent the number of tables for two and y to represent the number of tables for four. Since each table for two can seat 2 people and each table for four can seat 4 people, the total number of people that can be seated is 2x + 4y. The owner of the restaurant wants to seat a total of 120 people, so the equation that represents this situation is 2x + 4y = 120.

In this equation, x and y are the variables. The x value represents the number of tables for two and the y value represents the number of tables for four.

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Answer:

Sadie took 47 minutes to finish her test.

Step-by-step explanation:

Let Laura's time be x minutes.

Then we have:

x + 3x - 16 = 68

4x = 84

x = 21 minutes.

So Sadie took 3(21) - 16 = 63-16

= 47 minutes.

Answer:

361 sq, inches.

Step-by-step explanation:

Let us assume that the dimensions of the square picture are P in × P in.

So, the area of the picture alone is, A = P²

Now, if the photo has a frame of 1 inch wide, then the dimensions of the photo with frame are (P + 2) in × (P + 2) in.

So, the area of the photo with frame is A' = (P + 2)(P + 2) = (P + 2)²

Now, the area of the frame alone is 80 sq. inches.

Hence, A' - A = 80

⇒ (P + 2)² - P² = 80

⇒ 4P + 4 = 80

⇒ 4P = 76

⇒ P = 19 inches.

So, the area of the picture is = 19² = 361 sq. inches. (Answer)

361 sq, inches.

Step-by-step explanation:

Answer:

The money receive by Paul is  [tex]\pounds 40[/tex].

Step-by-step explanation:

Given as :

The ratio of share of money among three people as

Stephen : Paul : Bridget = 3 : 4 : 2

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

Let The money receive by Stephen = 3 x

Let The money receive by Paul = 4 x

Let The money receive by Bridget = 2 x

Now, According to question

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

I.e 3 x + 2 x =  [tex]\pounds 50[/tex]

i.e 5 x =  [tex]\pounds 50[/tex]

∴    x = [tex]\frac{\pounds 50}{5}[/tex]  

    x =  [tex]\pounds 10[/tex]

So, The money receive by Stephen = 3 × [tex]\pounds 10[/tex] = [tex]\pounds 30[/tex]

Let The money receive by Paul = 4 × [tex]\pounds 10[/tex] = [tex]\pounds 40[/tex]

Let The money receive by Bridget = 2 × [tex]\pounds 10[/tex] = [tex]\pounds 20[/tex]

Hence The money receive by Paul is  [tex]\pounds 40[/tex]. Answer

Answer:

The graph you posted was Incorrect! An easy way you can check is like this:

Insert the function "f(x) = (x - 1)(x + 3)(x – 3)" into desmos, you get this which should perfectly match the function shown.

The graph that represents the function is attached to the answer.

The graph is a mathematical representation of the relation between two objects.

It helps in determining the function that fits best for the data obtained.

A function is a mathematical statement that defines a relationship between a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can give as output.

The function is f(x) = (x-1)(x+3)(x-3)

The graph for the function will be determined by plotting,

The graph is plotted and attached with the answer.

The parent function is a cubic function, which is also plotted along with the function graph.

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Answer:

First Number = 9

Second Number = -4

Step-by-step explanation:

Let the first number be "x" and the 2nd number be "y"

First number PLUS twice 2nd is 1, so we can write:

x + 2 y = 1

Twice First number PLUS the 2nd number is 14, so we can write:

2x + y = 14

We can write:

y = 14 - 2x

We put this into 1st equation and solve for x:

x + 2y = 1

x + 2(14 - 2x) = 1

x + 28 - 4x = 1

-3x = -27

x = 9

And now y:

y = 14 - 2(x)

y = 14 -2(9)

y = 14 - 18

y = -4

First Number = 9

Second Number = -4

The probability that the next marble Kerry selects will be white is; D: 63%

The results of Kerry randomly selecting one marble from the bag out of 65 selections are;

Now, these numbers of marbles represents the amount of times the respective colors are gotten for every 65 selections. Thus;

P(next marble that Kerry selects will be white) = 41/65 * 100

P(next marble that Kerry selects will be white) ≈ 63%

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Answer: the vertical line with the equation "x=-2"

Step-by-step explanation:

if you are perpendicular to the x axis, you will be looking for vertical lines that pass through (-2,-4)

the vertical line with the equation "x=-2" will pass though the point because (-2,-4) has an x coordinate of -2

Answer:

9

Step-by-step explanation:

The value of c is found by adding a (2) and b (7) together, which equals 9.

The question a + b = c is asking for the value of c when a is 2 and b is 7. To find c, we simply add the values of a and b together. In mathematics, this is known as solving for the unknown variable.

In this case:

a + b = c
2 + 7 = c
c = 9

Therefore, the value of c when a is 2 and b is 7 is 9.

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Answer:

(0,2)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 12y = 24

12y = 24

y = 2

Answer:

473 turnips

Step-by-step explanation:

well if its 1 to 1 that means how ever meany you have of one you will have the same exact amount of the other food

473x1 = 473x1

Final answer:

To find the number of turnips, set up a proportion using the given ratio and cross multiply to solve for the number of turnips.

Explanation:

To find the number of turnips, we can set up a proportion using the given ratio:
Number of potatoes / Number of turnips = Ratio of potatoes to turnips.
Since the ratio of potatoes to turnips is 1:1, the proportion will be:
473 / Number of turnips = 1 / 1.

To solve for the number of turnips, cross multiply:
473 * 1 = Number of turnips * 1.
Number of turnips = 473.

Therefore, there are 473 turnips in this scenario.

Answer:

If you want the inequality, c - 13 < -19

If you want the inequality simplified, c < -6

Answer:

0.19%

Step-by-step explanation:

To know what is the probability that a female who is less than 16 in involved in a driver fatality, we have to compare the cases of fatalities for females who are less than 16 years old, with the total cases of fatalities, commited by all kind of persons. Then, to know the proportion of the population of driver fatalities represented by female who are less than 16, we divide the amount of cases that happend under the characteristics mentioned (females <16) and the total amount of fatalities: [tex]\frac{100}{Total_{fatalities}} =\frac{100}{141+100+4970+2331+11009+....} =\frac{100}{52693}=0.0019=0.19\%[/tex], which is the probability that a randomly-selected driver fatality were commited by a females who is less than 16.

Answer:

437584.68

Step-by-step explanation:

Answer:

Step-by-step explanation:

437584.7

Answer: 18 units

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 times 2 = 12

12+6=18

Answer:

There are 26 glass bears in each group and there are 2 equal groups.

Step-by-step explanation:

i hope that help but your problem was kind of werid at first but i foud the answer i hope you enjoy!!!...

Answer:

Its isosceles, so the the 2 sides other than st are equal. 2x+6=3x-6

Moves to one side. 12=x

x=12

Step-by-step explanation:

x=12

Step-by-step explanation:

You know that angles T and S are equal, meaning the lengths of the lines TV and SV are also equal. That means 2x+6=3x-6. You transfer the xs and get 6=x-6. You undo the negative 6, receiving 12=x.

Answer:

24.3

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

If its the graphs I got then yeah

The Graph that represents the inverse of function f is attached below.

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

We have been given a function of x as; f(x) = 2x - 2

If function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

y = 2x - 2

x = 2y - 2

x + 2 = 2y

y = (x + 2)/2

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f' function here.

To Graph the inverse, Simply use a graphing calculator and the correct graph is attached below.

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Answer

______________

The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

Now,

Solve the given system of equation as;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

By equation (i);

6x + 2y = - 6  

2(3x + y) = - 6

3x + y = - 3  ..(iii)

Subtract equation (ii) from (iii), we get;

3x - 4y - (3x + y) = - 18 - (-3)

3x - 4y - 3x - y = - 18 + 3

- 5y = - 15

y = 3

And, By equation (i), we get;

6x + 2y = - 6  

6x + 2 × 3 = - 6

6x + 6 = - 6

6x = - 6 - 6

6x = - 12

x = - 2

Thus, The solution of given system of equation are;

x = - 2 and y = 3

Now,

Substitute the value of x and y in all the given options and find the same solution of given system of equation as;

A: 8x + 4y = −4

17x + 2y = −28

Substitute the value of x = - 2 and y = 3;

8x + 4y = −4

8 × - 2 + 4 × 3 = - 4

- 16 + 12 = - 4

- 4 = - 4

17x + 2y = −28

17 × - 2 + 2 × 3 = - 28

- 34 + 6 = - 28

- 28 = - 28

Thus, This system of equation has same solution.

Therefore, The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

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Answer:

The ratio of consonants to is 4:3. 4 consonants and 3 wolves.

Answer:

18 Milk Chocolates: 24 dark chocolates

Step-by-step explanation:

The total number of chocolates are 42

So you have Milk: Dark, in the ratio 3:4

You do 3+4 which = 7

You then divide the total ratio outcome by the total number

So you do, 42/7 =6

You then do 6 and put this into the ratio

So you do, 3x6 and 4x6, which = 18 and 24

To check if your answers correct add the ratio outcomes

And If you add 18 and 24 together, you should get your beginning total of 42

Answer:

C) 6(4m-n)

Step-by-step explanation:

Because 6(4m-n)=24m-6n.

Answer:

x=1,2

Step-by-step explanation:

we show that 4x is <12

if x=1,,,4x=4*1=4

if x=2,,,4x=4*2=8

if x=3,,,4x= 4*3=12

so 1 &2 is right ans

Answer:

D. If 20$ a trip charge is added, the new x-intercept will be (20,0)

This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: