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Let p: A student plays basketball.

Let q: A student plays tennis.




How many students play both basketball and tennis?

Step-by-step explanation:

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The new function (fog)x will be x - 2.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find (f g)(x), we need to evaluate f(g(x)).

First, we need to find g(x):

g(x) = x - 4

Next, we substitute g(x) into f(x):

f(g(x)) = f(x - 4)

Now we can simplify:

f(x - 4) = (x - 4) + 2

f(g(x)) = x - 2

Therefore, (f g)(x) = x - 2.

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ggggggggggggggggggggggg

Answer:

-1/2

Step-by-step explanation:

IK

The answers are mentioned below.

Acceleration is the change of speed with respect to time.

It is given that ,

The mass of the person is 50kg

Weight is 490 N

He has boarded an elevator with a bathroom scale.

1. The elevator is going down at constant speed , Force = 0N as acceleration is zero , The reading is 50kg.

2. The elevator is going up an slowing down . The magnitude of the acceleration is 4.9 m/sq.s , Force = mass * acceleration = 50 * 4.9 = 245N acting upward but the net force will be acting downward.

490 - 245 =  145N , reading 14.79 kg.

3.The elevator is free falling with an acceleration of 9.8m/sq.s force 0 N , as the gravitational force is pulling you down and the scale pushes up with the same force , Reading is 0 kg.

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Polygon 3 and 4 are similar to polygon 1.

Polygons will be called similar if they are exactly in the same shape, but can be in different sizes.

Here given, Some of the images are images of the polygon 1 from similarity transformations.

So we have to find the similar polygon from the given picture.

From picture it is clear that Polygon 2 is similar to polygon 1 as the size of polygon 2 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 as we can their corresponding angles are also equal.

Also, polygon 3 is similar to polygon 1 as the size of polygon 3 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 and reversed of polygon 1. So polygon 3 is of the same orientation as polygon 1 as we can their corresponding angles are also equal.

So from above, it is clear that Polygon 1 is similar to polygon 3 and 4 as they have the same shape but different sizes.

Therefore Polygon 3 and Polygon 4 are similar to polygon 1.

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The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

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Answer:

Graph will shift 2 units to the left

The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]

Answer:

19-73 19-73 and the other half way back home from the

to ghana 5hjgf and to the 8

Answer:

The Fruit market is at -  6th Street and 11th Avenue

Step-by-step explanation:

Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.

for example :-

if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-

[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.

using the above formula :

distance between points (4, 8)  and (12, 20) is:

[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]

√(8² + 12²)

√208

14.42

Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.

therefore,

3/4×14.42  = 10.8

now we can check that option (A ) i.e. (6, 11)  distance from lei home i.e. (12, 20) is equal to 10.8

hence the fruit market is at the = 6th Street and 11th Avenue

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Answer:

A

Step-by-step explanation:

12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.

The people at positions 3 and 15 are directly opposite each other.

Then the number of the people are sitting at the table will be

1 is opposite to 13

2 is opposite to 14

3 is opposite to 15

Similarly, 12 will be opposite to 24.

Then the number of the people are sitting at the table will be 24.

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Answer:

B

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

No

Step-by-step explanation:

To determine if a point is a solution to a system of equations, you need to determine if the point is a solution to both equations.

Is ( 2,10) a solution to -3x-4y = 4

Substitute into the equation and see if it is true

-3(2) -4(10) = 4

-6 -40 = 4

-46 =4

This is not true so it is not a solution

Answer:

No

Step-by-step explanation:

The solution(s) of a system is/are the point(s) (x, y) where the lines intersect.

The question asks if (2, 10) is a solution of the system. This means the "x" value is "2" and the "y" value is "10".

We can substitute those values into both of the equations.

[tex]-3x-4y=4\\-3(2)-4(10)=4\\-6-40=4\\-46=6 \Rightarrow Incorrect![/tex]

The "x" and "y" values must be true for both equations, therefore (2, 10) is not a solution of the system.

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

7c = 49.5

c = 7.07 km/h

Answer:

Scale factor is 3

Answer: A. 10.8 km

Step-by-step explanation:

add up all the days:

1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km

Answer:

20%

Step-by-step explanation:

Half of 2 = 1

Half of 1.6 = 0.8

1 - 0.8 = 0.2

0.2 × 100 = 20%

Answer:

D 0.33

Step-by-step explanation:

based on the table you would just divide 13/39 which is 0.33

I hope i am right

Answer: 0.37

Step-by-step explanation:

Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.

If the bond issuer doesn't default, face value, also known as par value, is the sum that is paid to a bondholder at the bond's maturity date. Bonds offered on the secondary market do, however, change in response to interest rates.

Therefore Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.

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Answer: (3,-1)

Step-by-step explanation:

distance between R & S x values: 9

distance between R & S y values: -6

multiply each by 2/3 (the proportion)

9/1 x 2/3 = 6; -6/1 x 2/3= -4

add the answers to R x & y values:

-3 + 6= 3; 3 - 4= -1

Answer:

D

Step-by-step explanation:

using the section formula

(x₁, y₁ ) and (x₂, y₂ ) divided in the ratio m : n , then

point = ([tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] )

thus for R (- 3, 3 ) and S (6, - 3 ) in the ratio 2 : 1

Q = ( [tex]\frac{2(6)+1(-3)}{2+1}[/tex] , [tex]\frac{2(-3)+1(3)}{2+1}[/tex] )

   = ( [tex]\frac{12-3}{3}[/tex] , [tex]\frac{-6+3}{3}[/tex] )

  = ( [tex]\frac{9}{3}[/tex] , [tex]\frac{-3}{3}[/tex] )

  = (3, - 1 )

Answer:

y+2= -4(x-8)

Step-by-step explanation:

0.90 nearest tenth is 9 since there is no other number to help round it over.

Answer:

-2x+3

Step-by-step explanation:

Gradient is change in y over change in x

[tex] \frac{2}{1} [/tex]

=2

and then

+3 because that's where it cuts the Y axis

Answer: A

Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

Question 1

Part (a) :

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

⇒ 6⁷ = 6ˣ

⇒ x = 7

Part (b) :

⇒ y² = 169

⇒ √y² = √169

⇒ y = ± 13

⇒ y = 13, y = -13

Question 2

Part (a) :

⇒ (√5)² × (√3)²

⇒ 5 × 3

⇒ 15

Part (b) :

⇒ (∛9)³ × (√30)²

⇒ 9 × 30

⇒ 270