In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?

Please try as much as possible to explain your answers.

Answer:

8.25+50

Step-by-step explanation:

Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

Answer:

k=50º

m=90º

Step-by-step explanation:

a line is 180º total

so 130+k=180

k=50

a triangle also is 180º total

so 180-40-k=m

180-40-50=m

90=m

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Answer:

The answer is Y = -3/5x +3 (I think)

Answer:

1,234 thats the answer

Answer:

Follow the steps below!

Step-by-step explanation:

If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.

Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler  or other straight edge if straight lines are a challenge to draw.

Hope this helps have a nice day!!!!

Answer:

- 7x^2 + 3xy - 9y

Step-by-step explanation:

(2xy- 4x^2) - (9y + 3x^2 - xy)

Add the second polynomial:

Change all the signs in the second polynomial because it has a negative sign before the parentheses.

= 2xy - 4x^2 - 9y - 3x^2 + xy

Combine like terms:

(-4x^2 - 3x^2) + (2xy + xy) - 9y

= -7x^2 + 3xy - 9y

Answer:

m=-3

Step-by-step explanation:

I just used the slope formula. Hope this helps! Also, I'm certain this is correct.

Answer:

y = 150º

Step-by-step explanation:

The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:

2x + x + (x - 20) = 180

4x - 20 = 180

4x = 200

x = 50

x - 20 = 50 - 20

x - 20 = 30

y = 180 - 30

y = 150º

Answer:

3 Blouses cost $450

Step-by-step explanation:

1,200 ÷ 8 = 150

150 x 3 = 450

Answer: $450

Step-by-step explanation:

First divide 1,200 by 8 (150) Then times that by 3 to get the answer

Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.

Let x represent the number of parent-teacher conference and y represent the school-related assembly.

Since Kiran earns $1008 for 36 paid events, hence:

x + y = 36    (1)

34x + 22y = 1008    (2)

Solving equations 1 and 2 simultaneously gives:

x = 18, y = 18

Therefore Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.

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Answer:

y=28

Step-by-step explanation:

15/21=20/y

15y=420

y=28

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

The first for terms of the series can be found by substituting the n for the term it is:

= 3(1)² + 1​ , 3(2)² + 1​ , 3(3)² + 1​ ,3(4)² + 1​

= 4, 13, 28, 49

Answer:

thx you so much

have a nice day

Answer:

A

Step-by-step explanation:

Answer:

a) 39.71

Step-by-step explanation:

Answer:

y = 2 · 3 x + 22

Step-by-step explanation:

Analysis: Number of female representatives in 1985 = 22

This can be represented by the point (0,22).

Number of representatives in 2005 = 68.

This can be represented by the point (2205-1985,68)

= (20,68)

Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3

∴ Equation of the line :  y = mx + c

⇒ 22 = 2 · 3 (0) + c

⇒ C = 22

∴  y = 2 · 3 x + 22

Answer: im pretty sure its 21 mi per gal

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

[tex]6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5[/tex]

Answer:

m∠6 = 54°

Hope this helps!

Step-by-step explanation:

( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).

Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x.  ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.

Because Supplementary angles equal 180°, 18x + 18 = 180

18x = 162        x = 162/18       x = 9

Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )

∠6 = 45 + 9        ∠6 = 54

Answer:

[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]

Answ 21?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The value of h(6) can be found by substituting 6 into the given equation where x is.

h(6)=7+2(6)=7+12=19

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

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in the given parallelogram ABCD , find the value of x and y

Answer:

x = 36

y = 37

Answer:

x=8

Step-by-step explanation:

Answer:

  x = 8

Step-by-step explanation:

Undo what is done to x. We see that x is multiplied by 3 and then 2 added. We undo these steps in reverse order.

  3x +2 = 26 . . . . . . given

  3x = 24 . . . . . . . . . subtract 2 from both sides of the equation

  x = 8 . . . . . . . . . . . divide both sides of the equation by 3