choose the correct answer to fill in the blank. an outlier is an observation which is less than iqr or greater than q3 ( )times iqr.

Answer:

4 and 3

Step-by-step explanation:

You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.

With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:

7+0=7

6+1=7

5+2=7

4+3=7

3+4=7

2+5=7

1+6=7

0+7=7

From there, plug in one number for x and see if y matches the expected number. For example:

2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:

2(4)-5=3

Answer:

D

Step-by-step explanation:

You are subtracting two functions to get the profit, the formula is p(x)=r(x)-c(x). You know what two of those functions are equivalent to so plug it in to get

p(x)=11x-(6x+20)

to solve you must first get rid of the parentheses by distributing the negative.

p(x)=11x-6x-20

then, combine like terms (both x's)

p(x)=5x-20

That is your final answer.

If population grew by 5% from 2010 to 2015 and fell by 3% from 2015 to 2020 , then the population decrease from 2015 to 2020 is 6678    .

Let the population of the city in 2015 be = "p".

To find the population in year "2015" , we first find the growth from 2010 to 2015  ;

⇒ p = 212000×(1 + 0.05) = 212000 × 1.05 = 222600 ;

So, the population in 2015 was 222600 .

Next, we find the population in 2020 by applying the decrease of 3%:

⇒ p = 222600×(1 - 0.03) = 222600×0.97 = 215922

So, the population in 2020 was 215922.

To , find the decrease from 2015 to 2020, we subtract the population in 2020 from the population in 2015 ;

⇒ 215922 - 222600 = -6678

Therefore , the population of the city decreased by 6678 people from 2015 to 2020.

The given question is incomplete , the complete question is

In 2010, the population of a city was 212000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. How much did the population decrease from 2015 to 2020, to the nearest 100 people ?

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a) The total number of functions will be 1,296 functions.

b) The total number of injective functions is  360.

c) There are total 15 increasing injective functions.

a) In order to calculate the total number of functions there are total 6 possible choices for each element present in the domain which is calculated to be  6^4 = 1,296 functions.

b)  An injective function can be defined as a function whose no two elements can me related to the same element present in the codomain. The first element present in the domain can be mapped to any of the 6 elements present in the codomain. But the second element of the domain can only be mapped with the 5 left elements os the codomain. Similarly third element of the domain could be related with only 4 elements,  and the fourth and the last element can be engaged to any of the remaining 3 elements.Therefore, the total number of injective functions can be calculated as 6 x 5 x 4 x 3 = 360.

c) In the case of increasing function, the values of the function increases as the input increases. In the mentioned function there are 4! = 24 ways to arrange the elements in the domain, but not all of these essentially corresponds to increasing functions. For example, the function f(1) = 4, f(2) = 3, f(3) = 2, f(4) = 1 is not increasing. But, if we choose any 4 different elements from the codomain, there is exactly one way to order them to create an increasing function. Therefore, there are total 15 ways to choose 4 distinct elements from the codomain, so there are 15 increasing injective functions.

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Step-by-step explanation:

"structure" means we are looking at a point-slope form

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being a point on the line.

so,

y + 2 = 5x tells us

the slope is 5.

and the point (x1, y1) is (0, -2)

Answer:

97 degrees

Step-by-step explanation:

180 - 83 + 97

Answer:

∠? =97°

Step-by-step explanation:

because the 2 lines are paralel the 83° angle and the missing angle are suplementary angles so they add up to 180°

?= 180-83=97°

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is \((x^{\frac{1}{8} })(x^{\frac{3}{8} })\).

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

\((x^{\frac{1}{8} })(x^{\frac{3}{8} })\) = \(x^{\frac{1}{8} +\frac{3}{8} }\)

= \(x^{\frac{4}{8}}\)

= \(x^{\frac{1}{2}}\)

The simplified expression is equal to 12.

So, \(x^{\frac{1}{2}}\)=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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To calculate the average rate of change of a function from x = -1 to x = 1, we need to find the difference in the function's values at those two points and divide it by the difference in the x-values.

Let's denote the function f(x). The average rate of change (AROC) is given by:

AROC = (f(1) - f(-1)) / (1 - (-1))

To determine the function's values at x = 1 and x = -1, we need more specific information or a graph of the function f(x).

Without that information, we cannot provide an accurate answer or simplify the fraction.

If you can provide the function's equation or a graph, I would be more than happy to assist you in finding the average rate of change.

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Ayooo I can’t do school work either.

Answer:

We can use the chain rule to find the derivative of y with respect to x.

The chain rule states that if y = f(u) and u = g(x), then dy/dx = dy/du * du/dx

y =sin x sec (90-x)

dy/dx = cos x sec (90-x) * d/dx(sec (90-x)) - sin x tan (90-x) sec (90-x) * d/dx(90-x)

let us calculate the second derivative

du/dx = -cos(90-x)

d²y/dx² = -sin x sec (90-x) * cos (90-x) - cos x tan (90-x) sec (90-x) * cos (90-x) - cos x sec (90-x) * (-sin (90-x))

= -sin x sec (90-x) * cos (90-x) - cos x tan (90-x) sec (90-x) * cos (90-x) + cos x sec (90-x) * sin (90-x)

= -sin x sec (90-x) * cos (90-x) + cos x tan (90-x) sec (90-x) * sin (90-x)

= -(sin^2 x + cos^2 x) sec (90-x) tan (90-x)

= -sec^2 (90-x) tan (90-x)

So, the value of the second derivative of y with respect to x is -sec^2 (90-x) tan (90-x)

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

Answer:

2. 20

Step-by-step explanation:

2. The distance from one base of the prism to the other base of the prism, d = 10 mm

The thickness of each triangle to be used to fill the prism, t = 0.5 mm

The number of triangles needed, n, is therefore;

\(n = \dfrac{d}{t}\)

Where;

d represents the distance between the bases of the prism, t, represents the thickness of each triangle, and n represents the number of triangles it would take to fill up the prism

Therefore;

\(n = \dfrac{10 \, mm}{0.5 \, mm} = 20\)

The number of triangles it would take to fill up the prism, n = 20

(a) To find the 3x3 matrix that produces the composite 2D transformation of translating by (2,2), rotating 90 degrees about the origin, and then reflecting in the y-axis using homogeneous coordinates, we can use the following steps:

1. Write the translation, rotation, and reflection matrices in homogeneous coordinates:

Translation matrix:
```
[1 0 2]
[0 1 2]
[0 0 1]
```

Rotation matrix:
```
[0 -1 0]
[1 0 0]
[0 0 1]
```

Reflection matrix:
```
[-1 0 0]
[ 0 1 0]
[ 0 0 1]
```

2. Multiply the translation matrix by the rotation matrix, then multiply the result by the reflection matrix, both in that order:

```
[-1 0 0] [0 -1 0] [1 0 -2]
[ 0 1 0] * [1 0 0] * [0 1 -2]
[ 0 0 1] [0 0 1] [0 0 1]
```

3. The resulting matrix is the 3x3 matrix that produces the composite transformation:

```
[1 0 -2]
[0 I apologize for the incomplete answer in my previous message. Here are the complete answers for all four parts:

(a) To find the 3x3 matrix that produces the composite 2D transformation of translating by (2,2), rotating 90 degrees about the origin, and then reflecting in the y-axis using homogeneous coordinates, we can use the following steps:

1. Write the translation, rotation, and reflection matrices in homogeneous coordinates:

Translation matrix:
```
[1 0 2]
[0 1 2]
[0 0 1]
```

Rotation matrix:
```
[0 -1 0]
[1 0 0]
[0 0 1]
```

Reflection matrix:
```
[-1 0 0]
[ 0 1 0]
[ 0 0 1]
```

2. Multiply the translation matrix by the rotation matrix, then multiply the result by the reflection matrix, both in that order:

```
[-1 0 0] [0 -1 0] [1 0 -2]
[ 0 1 0] * [1 0 0] * [0 1 -2]
[ 0 0 1] [0 0 1] [0 0 1]
```

3. The resulting matrix is the 3x3 matrix that produces the composite transformation:

```
[1 0 -2]
[0 -1 2]
[0 0 1]
```

Therefore, the 3x3 matrix that produces the composite transformation of translating by (2,2), rotating 90 degrees about the origin, and then reflecting in the y-axis using homogeneous coordinates is:

```
[1 0 -2]
[0 -1 2]
[0 0 1]
```

(b) To find the 3x3 matrix that produces the composite 2D transformation of translating by (-1,2), scaling 2 in the x-coordinate and 3 in the y-coordinate using homogeneous coordinates, we can use the following steps:

1. Write the translation and scaling matrices in homogeneous coordinates:

Translation matrix:
```
[1 0 -1]
[0 1 2]
[0 0 1]
```

Scaling matrix:
```
[2 0 0]
[0 3 0]
[0 0 1]
```

2. Multiply the translation matrix by the scaling matrix in that order:

```
[2 0 0] [1 0 -1] [2 0 -2]
[0 3 0] * [0 1 2] = [0 3 6]
[0 0 1] [0 1 -] [-1 2 1]
[0 0 1] [0 0 1]

3. The resulting matrix is the 3x3 matrix that produces the composite transformation:

```
[0.5 -0.5 -1]
[-0.5 0.5 2]
[ 0 0 1]
```

Therefore, the 3x3 matrix that produces the composite transformation of reflecting in the original, translating by (-1,1), and then scaling 0.5 in the x-coordinate using homogeneous coordinates is:

```
[0.5 -0.5 -1]
[-0.5 0.5 2]
[ 0 0 1]
```

(d) To find the 3x3 matrix that produces the composite 2D transformation of translating by (2,3), reflecting in the line y=x, and then rotating 30 degrees about the origin using homogeneous coordinates, we can use the following steps:

1. Write the translation, reflection, and rotation matrices in homogeneous coordinates:

Translation matrix:
```
[1 0 2]
[0 1 3]
[0 0 1]
```

Reflection matrix:
```
[0 1 0]
[1 0 0]
[0 0 1]
```

Rotation matrix:
```
[cos(30) -sin(d) To find the 3x3 matrix that produces the composite 2D transformation of translating by (2,3), reflecting in the line y=x, and then rotating 30 degrees about the origin using homogeneous coordinates, we can use the following steps:

1. Write the translation, reflection, and rotation matrices in homogeneous coordinates:

Translation matrix:
```
[1 0 2]
[0 1 3]
[0 0 1]
```

Reflection matrix:
```
[0 1 0]
[1 0 0]
[0 0 1]
```

Rotation matrix:
```
[cos(30) -sin(30) 0]
[sin(30) cos(30) 0]
[0 0 1]
```

2. Multiply the translation matrix by the reflection matrix, then multiply the result by the rotation matrix, both in that order:

```
[0 1 0] [cos(30) -sin(30) 0] [ 0.5 0.866 -3.464]
[1 0 0] * [sin(30) cos(30) 0] * [-0.866 0.5 4.232]
[0 0 1] [ 0 0 1] [ 0 0 1 ]
```

3. The resulting matrix is the 3x3 matrix that produces the composite transformation:

```
[ 0.5 0.866 -3.464]
[-0.866 0.5 4.232]
[ 0 0 1 ]
```

Therefore, the 3x3 matrix that produces the composite transformation of translating by (2,3), reflecting in the line y=x, and then rotating 30 degrees about the origin using homogeneous coordinates is:

```
[ 0.5 0.866 -3.464]
[-0.866 0.5 4.232]
[ 0 0 1 ]
```

The matrices for the transformations (a) Translate, Rotate, and Reflect, (b) Translate and Scale, (c) Reflect, Translate, and Scale, and (d) Translate, Reflect, and Rotate are calculated.

(a) To find the matrix for the composite transformation of Translate, Rotate, and Reflect, we multiply the matrices for individual transformations. The translation matrix is:

T = [[1, 0, 2],

[0, 1, 2],

[0, 0, 1]]

The rotation matrix for 90° counterclockwise is:

R = [[0, -1, 0],

[1, 0, 0],

[0, 0, 1]]

The reflection matrix in the y-axis is:

F = [[-1, 0, 0],

[0, 1, 0],

[0, 0, 1]]

The composite transformation matrix is obtained by multiplying these matrices: C = T * R * F.

(b) For the composite transformation of Translate and Scale, we have the translation matrix:

T = [[1, 0, -1],

[0, 1, 2],

[0, 0, 1]]

The scaling matrix is:

S = [[2, 0, 0],

[0, 3, 0],

[0, 0, 1]]

The composite transformation matrix is C = T * S.

(c) For the composite transformation of Reflect, Translate, and Scale, we have the reflection matrix:

F = [[-1, 0, 0],

[0, -1, 0],

[0, 0, 1]]

The translation matrix is:

T = [[1, 0, -1],

[0, 1, 1],

[0, 0, 1]]

The scaling matrix is:

S = [[0.5, 0, 0],

[0, 1, 0],

[0, 0, 1]]

The composite transformation matrix is C = F * T * S.

(d) For the composite transformation of Translate, Reflect, and Rotate, we have the translation matrix:

T = [[1, 0, 2],

[0, 1, 3],

[0, 0, 1]]

The reflection matrix in the y = x line is:

F = [[0, 1, 0],

[1, 0, 0],

[0, 0, 1]]

The rotation matrix for 30° counterclockwise is:

R = [[√3/2, -1/2, 0],

[1/2, √3/2, 0],

[0, 0, 1]]

The composite transformation matrix is C = T * F * R.

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Answer:

I think its f(n)=300,000n

Step-by-step explanation:

Answer:

f(n)=300,000n

Step-by-step explanation:

The statement using absolute value notation will be x - 78 ≤ 22.

The student will pass the test which scores 22 points for the number 78

Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.

In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.

Le the score of student be = x

Forming the absolute value notation -

This can be expressed as,

x - 78 ≤ 22.

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To determine the amount of O_(2) required to produce 3.11g of NO_(2), we need to calculate the stoichiometric ratio between the two compounds in the balanced chemical equation and apply the appropriate conversion factors.

The balanced chemical equation shows that 2 moles of NO react with 1 mole of O_(2) to produce 2 moles of NO_(2). From the equation, we can establish the stoichiometric ratio: 2 moles of NO_(2) are produced per 1 mole of O_(2). To find the grams of O_(2) needed, we need to convert the given mass of NO_(2) (3.11g) to moles using the molar mass of NO_(2). Then, using the stoichiometric ratio, we can determine the moles of O_(2) required. Finally, we convert the moles of O_(2) to grams using the molar mass of O_(2). By applying these conversion steps and calculations, we can determine the grams of O_(2) needed to produce 3.11g of NO_(2).

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Answer:

\(\theta = 53.13 degrees\)

Step-by-step explanation:

From the question we are told that:

intercept co_ordinate (x,y)

(3/5,4,5)  

Generally the value for \(\theta\) is mathematically given by

\(cos \theta = 3/5\\sin \theta = 4/5\\\theta = cos^-1 (3/5 )\)  

\(\theta = 53.13 degrees\)

The possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).

Define literals

In Boolean algebra, literals refer to the basic elements or variables that are used to represent binary values, i.e., 0 or 1.

The expression xy' evaluates to 1 if x = 1 and y = 0. To see why, we can substitute these values into the expression: xy' = 10' = 11 = 1.

Therefore, the possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).

However, xy' is not a minterm for a function with input variables x, y, and z, because there is more than one setting of the input variables that causes the expression xy' to evaluate to 1.

Specifically, both (1,0,0) and (1,1,0) cause xy' to evaluate to 1.

A minterm, as defined, must have exactly one setting of the input variables that causes the minterm to evaluate to 1.

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Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.

1 - 0.005 = 0.995 or 99.5%.

b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.

0.005 x 0.052 = 0.00026 or 0.026%.

The probability that both of them do not fail is the complement of the probability that they both fail

1 - 0.00026 = 0.99974 or 99.974%.

Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

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The equation of a plane that passes through a point and is parallel to the YZ plane can be written as:

x = constant

When a plane is parallel to the YZ plane, it means that its normal vector is perpendicular to the X-axis. Since the normal vector is perpendicular to the X-axis, the X-coordinate of any point on the plane remains constant.

To find the equation of the plane, we need a point that lies on the plane. Let's assume the point (a, b, c) lies on the plane.

Since the plane is parallel to the YZ plane, the X-coordinate of any point on the plane will remain constant. Therefore, we can say that x = a.

The equation of the plane becomes:

x = a

The equation of a plane that passes through a point and is parallel to the YZ plane is given by the equation x = a, where a is the constant X-coordinate of any point on the plane. This equation represents all points where the X-coordinate remains constant, while the Y and Z coordinates can vary freely.

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In order to improve my grades, i am going to prioritize consistent studying next year to improve my grades.

Why is prioritizing consistent studying important for improving grades?

The consistent studying is the main key to academic success. By dedicating regular time to review and learn material, students are better able to retain information and recall it during exams.

When we create a study schedule and sticking to it, this can help us students stay on track and avoid cramming before exams which often leads to stress and poor performance. This type of studying also allows for a deeper understanding of complex concepts and improves critical thinking skills.

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Answer: (3,5)

Step-by-step explanation:

Answer:

x=-2

y=-5

Step-by-step explanation:

3x-y=-1

-3x+4y=-14

_________

-3y=-15

__. __

-3. -3

y=5

3x-(-5)=-1

3x+5=-1

-5. -5

_______

3x=-6

---. ---

3. 3

x=-2

answer:

ii. a 2-digit number

explanation:

Throwing of a die can have 6 possible outputs.

1, 2, 3, 4, 5 and 6.



So, N(S)N(S) (number of Space) is 6

The numbers having greater value than 22 are- 3, 4, 5 and 6.

So, we can get a number which is greater than 2 in four ways.

So, N(E)N(E) (number of Events) is 4

If probability of finding a number greater than 4 in throw of a die is denoted by P(A)P(A), then-

P(A)=N(E)N(S)=46=23P(A)=N(E)N(S)=46=23 (a)

There you go!

i) Since there are 6 possibilities on a regular die (1, 2, 3, 4, 5, 6), and a 0 is not one of those values stated, there is a 0/6 probability of getting a 0.
ii) Since there are 6 possibilities on a regular die (1, 2, 3, 4, 5, 6), and there are no two digit numbers in those values stated, there is a 0/6 probability of getting a two digit number.

The solution to the initial value problem is: y(t) = (-5/3) e^t + (5/3) e^(-2t). Y(s) = (-5/3) / (s-1) + (5/3) / (s+2)


To find the Laplace transform of the solution, Y(s), we first need to take the Laplace transform of the differential equation.
L{y" + y' - 2y} = L{0}
Using the linearity property of the Laplace transform, we can break this up into three separate Laplace transforms:
L{y"} + L{y'} - 2L{y} = 0
Taking the Laplace transform of y'' and y', we get:
s^2 Y(s) - s y(0) - y'(0) + s Y(s) - y(0) - 2Y(s) = 0
Plugging in the initial conditions, we get:
s^2 Y(s) + 5s + 5 + s Y(s) + 5 - 2Y(s) = 0
Simplifying, we get:
Y(s) (s^2 + s - 2) = -10 - 5s
Factoring the polynomial in the parentheses, we get:
Y(s) (s+2)(s-1) = -5(s+2)
Dividing by (s+2)(s-1), we get:
Y(s) = -5 / (s-1) - 5 / (s+2)
So the Laplace transform of the solution is:
Y(s) = -5 / (s-1) - 5 / (s+2)
Note that this is in terms of s, not y(t). To find the solution in terms of y(t), we need to take the inverse Laplace transform. This can be done using partial fraction decomposition:
Y(s) = -5 / (s-1) - 5 / (s+2)
= (-5/3) / (s-1) + (5/3) / (s+2)
Taking the inverse Laplace transform, we get:
y(t) = (-5/3) e^t + (5/3) e^(-2t)
So the solution to the initial value problem is:
y(t) = (-5/3) e^t + (5/3) e^(-2t)

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Answer:  0π

Step-by-step explanation:

\(sin\bigg(\dfrac{3\pi}{2}+x\bigg)+sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\2sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-1\\\\\\\dfrac{3\pi}{2}+x\bigg=sin^{-1}(-1)\\\\\\\dfrac{3\pi}{2}+x=\dfrac{3\pi}{2}\\\\\\\large\boxed{x=0}\)

Answer:

\( \huge{x = \frac{7}{2} }\)

Step-by-step explanation:

5(x - 9) + 3(x + 4) = 2(x - 6)

First expand the terms in the bracket

That's

5x - 45 + 3x + 12 = 2x - 12

Simplify

8x - 33 = 2x - 12

8x - 2x = 33 - 12

6x = 21

Divide both sides by 6

\( \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} \)

Simplify

We have the final answer as

\(x = \frac{7}{2} \\ \)

Hope this helps you

Answer:

x=3.5

Step-by-step explanation:

5(x-9)+3(x+4)=2(x-6)

5x-45+3x+12=2x-12

8x-33=2x-12

8x-2x=-12+33

6x=21

x=21÷6

=3.5

Hope it helps!!!

The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.

When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.

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Answer:

We have system of equations

James's total cost: Y = 2x + 6 (1)

Sarah's total cost: Y = 3x + 4 (2)

replace y = 2x + 6 and (2) => 2x + 6 = 3x + 4 => x = 2 => y = 10

So the total cost of renting movies by James And Sarah is equal

Step-by-step explanation: