Prove algebraically that n^2-2-(n-2)^2 is always even

Answer:

0.410714

Step-by-step explanation:

Dividend ÷ Divisor = Quotient

Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69

We can express this as 3x + 33 = 69

Then we can subtract 33 from both sides to get 3x = 36

Then we divide both sides by 3 to get x = 12

Then we can substitute the value of x back to find the number of goals each player scored:

Jagan: x = 12

Shaun: x + 9 = 12 + 9 = 21

Baharat: x + 15 = 12 + 15 = 27

So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.

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Answer:

discounted price = original price ( 1 - discount rate)

Step-by-step explanation:

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

[tex]\hookrightarrow \:

Answer:

6x+4 = 8x

4=2x

x=2 hrs

Step-by-step explanation:

Answer:

26 hours

Step-by-step explanation:

Add all of them up and get 26

the answer is in the picture

Answer:

x > 3

Step-by-step explanation:

3x-9-5x > -3x - 6

3x-5x+3x > -6+9

x > 3

Answer:

The lengths of the other sides would be 10, as well.

Step-by-step explanation:

Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.

The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ΔABC

Let the side length of the triangle be AB = 10

Now , the measure of ∠ABC = 60°

And , the measure of ∠BAC = 60°

So , the total sum of all the angles in a triangle = 180°

And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°

Therefore , all the angles of the triangle are 60°

So , it is an equilateral triangle

And , the measure of side lengths of the triangle is 10

Therefore , AB = BC = CA = 10

Hence , it is an equilateral triangle

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The number x percent of 52 gives 20. Thus, the number x would be equal to 38.5.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

We need to find the number x percent of 52 which gives 20.

x% of 52 = 20

x/100 × 52 = 20

x = 20 × 100/ 52

x = 0.384615

convert it to a percentage by multiplying by 100

38.4615

round to the nearest tenth

38.5

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Answer:

D

Step-by-step explanation:

The zeros from the graph, where it crosses the x- axis are

x = - 2 and x = 3 , then the corresponding factors are

(x + 2) and (x - 3) , then

y = a(x + 2)(x - 3) ( where a is a multiplier )

To find a substitute any point on the graph into the equation

Using (0, - 6 )

- 6 = a(0 + 2)(0 - 3) = a(2)(- 3) = - 6a ( divide both sides by - 6 )

1 = a

y = (x + 2)(x - 3) ← expand using FOIL

y = x² - x - 6 → D

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

Answer:

the answer would have to be B

Step-by-step explanation:

Answer:

22 cm

Step-by-step explanation:

the perimeter = AB+BG+GF+FE+ED+DC+CA

= 65 cm

7+7+7+FE+7+DC+7=65 => FE = CD

35+ 2FE = 65

2FE = 65-35

= 30

FE = 30/2 = 15

so, GE = GF + FE

= 7+15 = 22 cm

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

Answer:

[tex]\frac{x}{100}[/tex] x 25000 = 3500

[tex]x[/tex] x 250 = 3500

x = 3500/250

x = 350/25

x = 14%

Answer:

Mean = 2.33

Step-by-step explanation:

Given that,

conceded goals : 0 1 2 3 4

Frequency : 2 8 4 10 6

Mean,

[tex]M=\dfrac{\Sigma fx}{\Sigma f}\\\\M=\dfrac{0\times 2+1\times 8+2\times 4+3\times 10+4\times 6}{2+8+4+10+6}\\\\=\dfrac{70}{30}\\\\M=2.33[/tex]

So, the required mean is 2.33.

Answer:

It will cost a total of $27.00.

Step-by-step explanation:

Manny's bedroom door is 9 feet tall and 3 feet wide.

The new door costs $1.00 per square foot.

And we want to find the total cost of the new door.

Since the door is a rectangle 9 feet tall and 3 feet wide, its total area is:

[tex]\displaystyle 9\cdot 3 = 27\text{ ft}^2[/tex]

And since it costs $1.00 per square foot, we can simply multiply it to the total area. Hence:

[tex]\displaystyle 27\text{ ft}^2\cdot \frac{\$ 1}{\text{ ft}^2}=\$27.00[/tex]

It will cost a total of $27.00.

Answer:

A new bedroom door costs $27.00

Step-by-step explanation:

The bedroom door mentioned here is in a rectangular shape. That is commonly used in these type of questions:

The area of a rectangle is length x width:

9 feet x 3 feet = 27 square feet

If a new door would cost $1.00 per square feet, the total cost will be the area of the door times $1.00:

27 x 1 = 27

Therefore a new door would cost $27.00

Hope this helps

Answer: [tex]-\frac{11}{3}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} *5\frac{2}{4} \\\\\\=-\frac{2}{3} *5\frac{1}{2} (5\frac{1}{2} =\frac{5*2}{2} +\frac{1}{2} =\frac{10+1}{2} =\frac{11}{2})\\\\\\=-\frac{2}{3} *\frac{11}{2} =-\frac{11}{3}[/tex]

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} + \frac{1}{3x} = 4[/tex] (Multiply everything by LCM)

[tex]3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4[/tex] (Simplify the fractions)

[tex]3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 8 , ∠ 2 and ∠ 7 are alternate exterior angles

They are on opposite sides of the transversal and outside the parallel lines

Given ∠ 1 = 60° , then

∠ 8 = 60° ( alternate exterior angles are congruent )

Answer:

1. <1 and <8

< 2 and <7

2. 60°

Step-by-step explanation:

1. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles.

2. If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.

Congruent angles are angles with the same measurement.

Answer: A. 0.25

Step-by-step explanation:

You need to divide 40 by 160 to calculate the percentage.

Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

Answer:

therefore According to the diagram y= start over

The transformation of the parent graph of y = √x to y = (1/2)√x is a vertical compression by a factor of 1/2.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As per the shown graph, for any value of x, the output of the function y = (1/2)√x is half of the output of the function y = √x. This means that the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph, while the x-values remain unchanged.

Visually, the graph of y = (1/2)√x will be flatter and closer to the x-axis than the graph of y = √x, with the same x-intercepts (0,0) and (1,1).

Thus, the y-values of the transformed graph are compressed vertically by a factor of 1/2 compared to the parent graph.

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Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another,  that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:

Let's start with x = 1.

f(1) = [tex]17-(1)^2[/tex] so

f(1) = 16 and the coordinate is (1, 16).

f(5) = [tex]17-(5)^2[/tex] so

f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:

[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.

Answer:

The probability that they will both break down would be 8%

Step-by-step explanation:

I believe it is 8% (sorry if its wrong) because tractor 1 is 3% and tractor 2 is 5% add them together and that is where you get 8%

Answer:

Step-by-step explanation:

1) Least common denominator of 4 and 2 is 4

To eliminate the fraction, each term should be multiplied by 4

ANS:option c

2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years

0.05 +0.1y = 0.12+0.06y

Ans : Option c

3) 4b +6 = 2 - b + 4

Add 'b' to both sides

4b + b + 6 = 2 + 4

5b + 6 = 6

Subtract 6 from both sides

5b = 6 - 6

5b = 0

 b = 0

Ans : Option b

4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100

Ans: option d

5) y +6 = -3y + 26

Add 3y to both the sides

y + 6 + 3y =  26

y + 3y + 6 = 26

4y + 6 = 26

Subtract 6 from both sides

4y = 26-6

4y = 20

Divide bothe sides by 4

y = 20/4

y = 5

Ans: option c

6) '2x' is  subtracted from both side of the equation.

Ans: option a - subtraction property of equality

Answer:

Step-by-step explanation:

3 sides= triangle

so.. 4m+4m+4m= 12 meters