simplify please help i’ll give brainliest

Answer:

[tex]g(x) = f(x) - 4[/tex]

Step-by-step explanation:

We have been given a graph for f(x) and a table for g(x) and we have to find the transformation to map f(x) to g(x)

Let's find the function values for f(x) and g(x) at specific (easily distinguishable) x values for both

x               f(x) from graph                        g(x) from table

0                         4                                                0

1                          3                                                -1

2                          4                                                0

The function values for f(x) for x =  -1 and x = 3 are a bit difficult to read since they do not cross at  a grid intersection          

From the above table we see that for a specific x, g(x) value is 4 less than the f(x) value

Therefore the transformation is
g(x) = f(x) - 4    

Therefore g(x) is shifted downward by 4 points

I have plotted both f(x) and g(x) using the transformation; You can see the points fit

[tex]-------------------------------[/tex]

Ignore this part if you wish

The equation for f(x) is
f(x) = (x - 1)² + 3  in vertex form

or

f(x) = x² − 2x + 4​ in polynomial form

g(x) will then be
x² - 2x + 4 - 4 = x² -2x

The answer is C. Mean, because Desert Landing is symmetric.

A distribution refers to the pattern of how data is spread out or distributed across different values or intervals. It is a way to describe and analyze the shape, center, and spread of a set of data.

To determine the location with the most consistent temperature, we need to measure the variability of the temperature data in both locations. The measure of variability that is appropriate for this purpose is the Mean, which measures the spread of the middle of the data.

The answer is C. Mean, because Desert Landing is symmetric. depending on the shape of the distributions. If the temperature data in Desert Landing is symmetric, then the Mean would be appropriate to measure the spread of the data. If the temperature data in Sunny Town is skewed, then the Mean would also be appropriate to measure the spread of the data. However, if the temperature data in either location is not skewed, then the range would not be an appropriate measure of variability.

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The mixed fraction expression 2³/₄ can be rewritten as: ⁴/₄ + ⁴/₄ + ³/₄

There are different fractions such as mixed fraction, improper fraction, proper fraction e.t.c.

Now, we are given the fraction as an improper fraction in the form of 2³₄.

Rewriting as a whole number and a fraction gives:

2 + ³/₄

Breaking down the whole number into a fraction is done as:

1 + 1 + ³/₄

= ⁴/₄ + ⁴/₄ + ³/₄

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The area of the regular polygon is 311.5 in2.

We are given that;

A polygon

Now,

To find the perimeter of the regular polygon, we need to multiply the number of sides by the length of each side. The polygon has 7 sides and each side is 10 in long, so the perimeter is 7 * 10 = 70 in.

To find the apothem length, we need to use some trigonometry.

The central angle is 360/7 degrees, since there are 7 equal angles in a regular polygon. Half of the side length is 5 in, since each side is 10 in long. The apothem is the adjacent side of the right triangle. We can use the tangent function to find the apothem: tan(360/14) = 5/a, where a is the apothem. Solving for a, we get a = 5/tan(360/14) ≈ 8.9 in.

To find the area of the regular polygon, we need to plug in the values of P and a into the formula A = (1/2)P*a.

A = (1/2)708.9 ≈ 311.5 in2.

Therefore, by the area the answer will be 311.5 in2.

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There are 70,560 different ways to arrange the letters of the word "DETERRANT" so that the repeated letters do not come together.

The word "DETERRANT" has 9 letters, out of which there are 2 E's, 2 R's, and 1 T.

To determine the total number of possible arrangements, we begin with 9! (9 factorial), which counts all possible arrangements if all letters are distinct.

We must, however, account for the repeated letters. For the two E's, we divide by 2, which is the number of different ways they can be arranged without changing the overall arrangement. Likewise, we divide by 2! for the two R's.

As a result, the total number of arrangements with repeated letters that do not come together is:

9! / (2! x 2!) - 8! / (2! x 2!) = 90720 - 20160 = 70560

Therefore, there are 70,560 different ways to arrange the letters of the word "DETERRANT" so that the repeated letters do not come together.

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Answer:

Step-by-step explanation:

The sum of three angles in a triangle is equal to 180°.

(1) 40°, 90°, 60°

40 + 90 + 60 = 190. Therefore, it could not be the measures of the three angles if a triangle.

(3) 120°, 30°, 20°

120 + 30 + 20 = 170. Therefore, it could not be the measures of the three angles if a triangle.

(2) 50°, 100°, 30°

50 + 100 + 30 = 180. Therefore, it could be the measures of the three angles if a triangle.

(4) 70°, 70°, 60°

70 + 70 + 60 = 200. Therefore, it could not be the measures of the three angles if a triangle.

Answer:

- 3 , 7 , - 13 , 5x + 2

Step-by-step explanation:

A

to evaluate f(0) substitute x = 0 into f(x)

f(0) = 5(0) - 3 = 0 - 3 = - 3

B

substitute x = 2 into f(x)

f(2) = 5(2) - 3 = 10 - 3 = 7

C

substitute x = - 2 into f(x)

f(- 2) = 5(- 2) - 3 = - 10 - 3 = - 13

D

substitute x = x + 1 into f(x)

f(x + 1)

= 5(x + 1) - 3 ← distribute each term in the parenthesis by 5

= 5x + 5 - 3 ← collect like terms

= 5x + 2

Answer:

A) -3

B) 7

C) -13

D) 5x+2

Step-by-step explanation:

For A, B, and C substitute the value stated in the parenthesis.

A) f(0) means to find the value when x=0, so we substitute 0 where x is in the function.

[tex]5(0)-3[/tex]

Then use PEMDAS and multiply first and then subtract 3 from the product.

[tex]5(0)=0\\0-3=-3[/tex]

B) Take the same steps as before with a different value. Substitute 2 for x.

[tex]5(2)-3\\5(2)=10\\10-3=7[/tex]

C) Also the same thing as the previous problems. Substitute -2 for the value of x.

[tex]5(-2)-3\\5(-2)=-10\\-10-3=-3[/tex]

D) Similar to above substitute x+1 where x is.

[tex]5(x+1)-3\\[/tex]

Then distribute 5(x+1) to get

[tex]5x+1(5)\\5x+5[/tex]

Then simplify the equation

[tex]5x+5-3=5x+2[/tex]

The table can be filled as  Symmetry | Applies to the hexagon Reflective symmetry over AD | Yes Reflective symmetry over CE | No

We are given that;

The hexagon DEFCA

Now,

the hexagon has reflective symmetry over AD, because if we fold it along AD, the vertices B and F will match, as well as the vertices C and E. Therefore, the answer for reflective symmetry over AD is Yes.

However, the hexagon does not have reflective symmetry over CE, because if we fold it along CE, the vertices A and F will not match, nor will the vertices B and D. Therefore, the answer for reflective symmetry over CE is No.

Therefore, Symmetry | Applies to the hexagon Reflective symmetry over AD | Yes Reflective symmetry over CE | No.

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Answer:

  see attached

Step-by-step explanation:

You want the possible lengths of the third side of a triangle with side lengths 20 m and 18 m.

If the third side is length c, the triangle inequality requires ...

  18 +c > 20   ⇒   c > 2

  20 +c > 18   ⇒   c > -2

  18 +20 > c   ⇒   c < 38

The possible lengths for the third side (c) are ...

  2 < c < 38

That is, the third side must lie between the difference and the sum of the given sides.

The attachment shows the values on the list that are in this range.  

The given equations [tex]y = -4x \ and \ \frac{1}{6} + 3x = y[/tex] are not proportional equations.

To determine if the given equations [tex]y = -4x \ and \ \frac{1}{6} + 3x = y[/tex] are proportional, we need to check if the ratios of the corresponding coefficients are equal. Let's solve the second equation for y and compare the coefficients:

Given equation 1: [tex]\( y = -4x \)[/tex]

Given equation 2: [tex]\( \frac{1}{6} + 3x = y \)[/tex]

To determine if the equations are proportional, we'll compare the coefficients of x and y in both equations.

Comparing the coefficients of x:

In equation 1, the coefficient of x is [tex]-4[/tex].

In equation 2, the coefficient of x is [tex]3[/tex].

Since the coefficients of x are different [tex](-4 \ and \ 3)[/tex], the equations are not proportional.

Comparing the coefficients of y:

In equation 1, the coefficient of y is -1.

In equation 2, the coefficient of y is 1.

Since the coefficients of y are different (-1 and 1), the equations are not proportional.

Hence, the given equations [tex]y = -4x \ and \ \frac{1}{6} + 3x = y[/tex] are not proportional.

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A circle with Centre [tex](a,b)[/tex]  has the general equation:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where [tex]r[/tex] is the radius and [tex](a,b)[/tex] is the Centre.

Given that the Centre is at [tex](0,9)[/tex], the equation is as follows:

[tex](x-0)^2 + (y-9)^2 = r^2[/tex]

If we simplify, we get:

[tex]x^2 + (y-9)^2 = r^2[/tex]

The fact that the circle comprises the coordinates  [tex](65,12)[/tex]  is also provided. Therefore, we may change these values into the equation and find [tex]r[/tex]:

[tex]65^2 + (12-9)^2 = r^2[/tex]

[tex]4225 + 9 = r^2[/tex]

[tex]r^2 = 4234[/tex]

When we square the two sides, we obtain:

[tex]r = \sqrt{4234}[/tex]

The circle's equation is as follows:

[tex]x^2 + (y-9)^2 = 4234[/tex]

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The inequality that represents the graph is:

x≥ -3

The inequality that represents the graph is:

x < 2

We have,

11.

From the number line,

The dot is in -3 and it extends infinitely to the right.

So,

The inequality that represents the graph is:

x≥ -3

And,

From the number line,

The open dot is in 2 and it extends infinitely to the left.

So,

The inequality that represents the graph is:

x < 2

Thus,

The inequality that represents the graph is:

x≥ -3

The inequality that represents the graph is:

x < 2

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The fraction of the wall that is concrete is 12/19

A fraction is a mathematical representation of a part of a whole or a division of one quantity by another. It consists of two parts: a numerator and a denominator, separated by a horizontal line called a fraction bar or a division slash.

The numerator represents the number of parts or the quantity being considered, while the denominator represents the total number of equal parts or the divisor. The numerator and denominator are both whole numbers or integers.

In this problem, to determine the fraction that is concrete, we have to know the total length of the wall.

length of wall = 24 + 5 + 9 = 38 inches

The fraction of the wall that is concrete = 24 / 38 = 12/19

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Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

Find the exact value of the expression, tan(15°).

The method I am about to show you will allow you to solve this problem without any tables or calculators. Although, memorizing the unit circle and trigonometric identities is required.

[tex]\tan(15 \textdegree)\\\\\Longrightarrow \tan(\frac{30 \textdegree}{2} )\\\\\text{Use the half-angle identity:} \ \tan(\frac{A}{2})=\pm \sqrt{\frac{1-\cos(A)}{1+\cos(A)} }=\frac{\sin(A)}{1+\cos(A)} =\frac{1-\cos(A)}{\sin(A)} \\\\\Longrightarrow\frac{1-\cos(30 \textdegree)}{\sin(30 \textdegree)} \\\\\text{From the unit circle:} \ \cos(30 \textdegree)=\frac{\sqrt{3} }{2} \ \text{and} \ \sin(30 \textdegree)=\frac{1}{2}\\[/tex]

[tex]\Longrightarrow \frac{1-\frac{\sqrt{3} }{2}}{\frac{1}{2}}\\\\\Longrightarrow 2(1-\frac{\sqrt{3} }{2})\\\\\therefore \boxed{\boxed{\tan(15 \textdegree)=2-\sqrt{3} }}[/tex]

Thus, the problem is solved.

Answer:

[tex]\tan 15^{\circ} = 2 - \sqrt{3}[/tex]

Step-by-step explanation:

To find the exact value of tan 15°, we can use trigonometric identities and the unit circle.

We know that tan(x) can be expressed as the ratio of sin(x) and cos(x). We can also write 15° as (60° - 45°).

Therefore, tan 15° can be expressed as:

[tex]\tan15^{\circ}=\tan(60^{\circ}-45^{\circ})=\dfrac{\sin(60^{\circ}-45^{\circ})}{\cos(60^{\circ}-45^{\circ})}[/tex]

Now use the trigonometric angle identities to rewrite the ratio in terms of sin 60°, cos 60°, sin 45° and cos 45°.

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Trigonometric Angle Identities}\\\\$\sin (A - B)=\sin A \cos B - \cos A \sin B$\\\\$\cos (A - B)=\cos A \cos B + \sin A \sin B$\\\end{minipage}}[/tex]

Therefore:

[tex]\begin{aligned}\tan15^{\circ}&=\dfrac{\sin(60^{\circ}-45^{\circ})}{\cos(60^{\circ}-45^{\circ})}\\\\&=\dfrac{\sin60^{\circ}\cos45^{\circ}-\cos60^{\circ}\sin45^{\circ}}{\cos 60^{\circ} \cos 45^{\circ}+ \sin 60^{\circ}\sin 45^{\circ}}\end{aligned}[/tex]

In the unit circle, the cosine of an angle is represented by the x-coordinate of a point on the circle, and the sine of an angle is represented by the y-coordinate of that same point → (x, y) = (cos θ, sin θ). Therefore, we can use the unit circle to identity the values of sin 60°, cos 60°, sin 45° and cos 45°:

[tex]\sin 60^{\circ}=\dfrac{\sqrt{3}}{2}[/tex]

[tex]\cos 60^{\circ}=\dfrac{1}{2}[/tex]

[tex]\sin 45^{\circ}=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\cos 45^{\circ}=\dfrac{\sqrt{2}}{2}[/tex]

Substitute these into the equation and simplify:

[tex]\begin{aligned}\tan15^{\circ}&=\dfrac{\sin(60^{\circ}-45^{\circ})}{\cos(60^{\circ}-45^{\circ})}\\\\&=\dfrac{\sin60^{\circ}\cos45^{\circ}-\cos60^{\circ}\sin45^{\circ}}{\cos 60^{\circ} \cos 45^{\circ}+ \sin 60^{\circ}\sin 45^{\circ}}\\\\&=\dfrac{\dfrac{\sqrt{3}}{2}\cdot \dfrac{\sqrt{2}}{2}-\dfrac{1}{2}\cdot \dfrac{\sqrt{2}}{2}}{\dfrac{1}{2}\cdot \dfrac{\sqrt{2}}{2}+ \dfrac{\sqrt{3}}{2}\cdot \dfrac{\sqrt{2}}{2}}\\\\\end{aligned}[/tex]

           [tex]\begin{aligned}&=\dfrac{\dfrac{\sqrt{2}}{2} \left(\dfrac{\sqrt{3}}{2}-\dfrac{1}{2}\right)}{\dfrac{\sqrt{2}}{2} \left(\dfrac{1}{2}+ \dfrac{\sqrt{3}}{2}\right)}\\\\&=\dfrac{\dfrac{\sqrt{3}}{2}-\dfrac{1}{2}}{ \dfrac{1}{2}+ \dfrac{\sqrt{3}}{2}}\\\\&=\dfrac{\dfrac{\sqrt{3}-1}{2}}{\dfrac{1+\sqrt{3}}{2}}\\\\&=\dfrac{\sqrt{3}-1}{1+\sqrt{3}}\end{aligned}[/tex]

Simplify further by multiplying the numerator and denominator by the conjugate of the denominator:

           [tex]\begin{aligned}&=\dfrac{\sqrt{3}-1}{1+\sqrt{3}}\cdot \dfrac{1-\sqrt{3}}{1-\sqrt{3}}\\\\&=\dfrac{(\sqrt{3}-1)(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\&=\dfrac{\sqrt{3}-3-1+\sqrt{3}}{1-\sqrt{3}+\sqrt{3}-3}\\\\&=\dfrac{2\sqrt{3}-4}{-2}\\\\&=-\sqrt{3}+2\\\\&=2-\sqrt{3}\end{aligned}[/tex]

Therefore, the exact value of tan 15° is (2 - √3).

We can use the exchange rate of 1 Euro = R18.32. Therefore,400 € = 400 x R18.32 = R7,328.

1.1.1 According to the table, the weakest currency is the yen with 14 yen being equivalent to only R0.14.1.1.2 R292 318 460 in words is Two hundred and ninety-two million, three hundred and eighteen thousand, four hundred and sixty Rand. 1.1.3

To determine the amount in rand that needs to be spent on ventilators in Spain, we need to find out the total amount of money raised, then use the ratio provided (1:2:4) to determine the amount to be spent on ventilators.

The ratio indicates that for every 1 unit of money, 2 units are to be spent on staff payment and 4 units on purchasing ventilators.

Therefore, if the total amount of money raised is €14 million, which is equivalent to R292 313 460, then the amount to be spent on ventilators is:4/(1+2+4) × 292 313 460 = R175 388 076.1.1.4 To find out how much 400€ would be in rand,

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The break-even point would be when the cost is equal to 44 dollars.

Option B is the correct answer.

We have,

The break-even point represents the point at which the cost equals the revenue or the point where there is no profit or loss.

Now,

In this case, if the graph represents the cost (dollars) on the y-axis and units on the x-axis, the break-even point occurs when the cost is equal to the revenue or total sales.

Given that two lines intersect at (11, 44),

The break-even point would be when the cost is equal to 44 dollars.

Thus,

The break-even point would be when the cost is equal to 44 dollars.

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The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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The mean of the distribution in this problem is given as follows:

19.5625 pounds.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the absolute frequency of each observation in the context of the problem.

Considering the dot plot, the sum of the observations in this problem is given as follows:

2 x 12 + 4 x 15 + 1 x 16 + 1 x 18 + 2 x 20 + 1 x 22 + 3 x 25 + 2 x 29 = 313.

The number of observations is given as follows:

2 + 4 + 1 + 1 + 2 + 1 + 3 + 2 = 16.

Hence the mean is given as follows:

313/16 = 19.5625 pounds.

The problem is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

What is the Formula for Calculating the Square Root of a Number? The square root of any number can be expressed using the formula: √y = y½. In other words, if a number has 1/2 as its exponent, it means we need to find the square root of the number.

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number.

The square root of a number "a" is denoted by the symbol "√a" or "a^(1/2)." For example, the square root of 9 is 3 because 3 * 3 = 9.

Answer:

Step-by-step explanation:

To calculate the values of the given function, substitute the given values of x into the function f(x) = 7x^2 - 8x + 8:

f(-2) = 7(-2)^2 - 8(-2) + 8

= 7(4) + 16 + 8

= 28 + 16 + 8

= 52

f(-1) = 7(-1)^2 - 8(-1) + 8

= 7(1) + 8 + 8

= 7 + 8 + 8

= 23

f(0) = 7(0)^2 - 8(0) + 8

= 0 - 0 + 8

= 8

f(1) = 7(1)^2 - 8(1) + 8

= 7(1) - 8 + 8

= 7 - 8 + 8

= 7

f(2) = 7(2)^2 - 8(2) + 8

= 7(4) - 16 + 8

= 28 - 16 + 8

= 20

Therefore, the values of the function for the given inputs are:

f(-2) = 52

f(-1) = 23

f(0) = 8

f(1) = 7

f(2) = 20

Answer:  the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.

Step-by-step explanation:  To solve the inequality 2(3x-1)>4x-6, we first simplify the left side by distributing the 2, which gives us 6x-2. Substituting this back into the original inequality, we get:

6x-2 > 4x-6

Next, we isolate the variable term (6x) by subtracting 4x from both sides:

2x-2 > -6

Then, we add 2 to both sides to isolate the variable term completely:

2x > -4

Finally, we divide both sides by 2 to solve for x:

x > -2

Therefore, the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.

The area of the composite figure is 81 yd². Option D

The composite figure is made up of a rectangle, a triangle and a trapezoid

The formula for the area of a rectangle is expressed as;

Area = length × width

Substitute the values

Area = 7(6)

Multiply the values

Area = 42 yd²

Area of the triangle = 1/2 base ×height

Area of the triangle = 1/2 × 6 ×5 = 30/2 = 15yd²

Area of the trapezoid = a+b/2 h

Substitute the values

Area = 7 + 9/2 (3) = 16/2(3) = 8(3) = 24yd²

Total area = 24 + 15 + 42 = 81 yd²

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The area of the composite figure is 81 cm²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Any figure that we can break and form more than one basic shape from is called a composite figure.

The figure consist of two trapezoid

Area of trapezoid 1 = 1/2( a+b) h

= 1/2 ( 12 + 7) 6

= 1/2 × 19 × 6

= 19 × 3

= 57cm²

area of trapezoid 2

= 1/2(a+b) h

= 1/2 ( 7+9) 3

= 1/2 × 16 × 3

= 8 × 3

= 24 cm²

Therefore the area of the composite figure

= 57 +24 = 81 cm²

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Answer:

20 quartesrs

Step-by-step explanation:

20 quarters

Answer:

1 mile : 2 cm

Step-by-step explanation:

ratio is 4.5 miles : 9

Which, if you want simplified, 1:2

Answer:

2 cm is 1 mile

or 1 cm is 1/2 mile

Step-by-step explanation:

We are going  from 9 cm to 4.5 miles

9 cm * scale factor = 4.5 miles

scale factor = 4.5 miles / 9 cm

scale factor = 1/2 mile per cm

The scale is 2 cm is 1 mile

or 1 cm is 1/2 mile

Answer: Centre: (-2,5)

Radius = 3

so

Diameter = 6

Domain: (-5,1)

Range: (2,8)

Answer:

center (-2,5)

radius =3

domain = -5< x <1

range 2 <y<8

Step-by-step explanation:

siiuu

The solution of the exponential equation is x = -16

From the question, we have the following parameters that can be used in our computation:

5^-x/16=5

Take the logarithm of both sides of the equation

So, we have the following representation

-x/16 log(5) = log(5)

Divide both sides of the equation by log(5)

-x/16 = 1

So, we have

x = -16 * 1

Evaluate

x = -16

Hence, the solution to the equation is x = -16

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Answer:

Step-by-step explanation:

[tex]\frac{925!}{(925-3)!}= 923*924*925=788,888,100[/tex]

To determine the number of ways the first, second, and third prizes can be awarded in a contest with 925 contestants, we can use the concept of permutations.

For the first prize, there are 925 contestants eligible to win. After the first prize is awarded, there are 924 remaining contestants for the second prize. Finally, for the third prize, there are 923 remaining contestants.

The number of ways to award the prizes can be calculated as the product of the number of choices for each prize:

Number of ways = 925 * 924 * 923

Calculating this expression, we find:

Number of ways = 779,449,100

Therefore, there are 779,449,100 ways to award the first, second, and third prizes in the contest with 925 contestants.

Answer: To estimate the number of farms expected to no longer have a problem with caterpillars feeding on their crops among the total 1,470 farms based on the random sample of 200 farms, we can use proportion estimation.

First, let's find the proportion of farms in the sample that no longer have a problem with caterpillars:

Proportion = (Number of farms with no caterpillar problem in the sample) / (Total number of farms in the sample)

Proportion = 160 / 200

Proportion = 0.8

Next, we'll use this proportion to estimate the number of farms in the total population of 1,470 farms:

Estimated number of farms = Proportion * Total number of farms in the population

Estimated number of farms = 0.8 * 1,470

Estimated number of farms = 1,176

Therefore, it is expected that approximately 1,176 farms will no longer have a problem with caterpillars feeding on their crops based on the sample data.

Step-by-step explanation:

The ordered pairs representing the amount of money left after playing variable number of games is :

(Number of games played, Amount of money left)

(0, 8)

(1, 6)

(2, 4)

(3, 2)

(4, 0)

Ordered pairs gives a tabular description of data as the values of two or more variables change.

Here, the amount Gabe has before playing a game is $8 and the cost per game is $2 .

Hence, the amount he has left decreases by $2 for every increase in number of games played.

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The graph of the inequality is attached in the solution.

Given is an inequality, 2y > x-2, we need to graph it,

So, considering this as, 2y = x-2

Solving like a linear equation to get the points to plot,

So,

Put y = 0,

0 = x - 2

x = 2

(2, 0)

Put x = 0,

2y = 0-2

y = -1

(0, -1)

Hence the two points from which the graph will pass are (2, 0) and (0, -1).

Now, since the inequality has a > sign so the shaded area will be above the line and the line will be dotted.

Learn more about inequality click;

https://brainly.com/question/30231190

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