College tuition at UCA has increased $500 per year for the past six years. Courtney is a freshman this year and paid $10,250 for tuition. Assuming the tuition rate remains constant, write an equation to represent the tuition at Central Arkansas University in x years.
has to be answered in slope-intercept form​

Answer:

37

Step-by-step explanation:

1. 3

29-9=19

13+9=22

22-19=3

I don't know number 2, sorry.

Answer:

of what

Step-by-step explanation:

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

Learn more about the inverse of a function here:

https://brainly.com/question/3831584

#SPJ1

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

Learn more about function on:

brainly.com/question/1415456

#SPJ1

Answer:

I think a option is correct

Step-by-step explanation:

because they are point on the graph

Answer:

c) 5, -5

Step-by-step explanation:

5 + (-5)

= 5 - 5

= 0

Answer:

3

Step-by-step explanation:

A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.

The total number of possible outcomes for the probability is P = 24 outcomes

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.

So there are only 3 possible outcomes: 4, 5, or 6.

Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.

Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.

Multiplying the number of outcomes for each event, we get:

Number of outcomes for rolling a cube: 3

Number of outcomes for spinning a spinner: 4

Number of outcomes for flipping a coin: 2

Total number of possible outcomes: 3 x 4 x 2 = 16

Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ3

The complete question is attached below :

Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.

How many unique outcomes are possible where the number on the cube is greater than 3?

The ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

Learn more on ordered pairs here: brainly.com/question/1528681

#SPJ1

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

For more such questions on angle

https://brainly.com/question/31512239

#SPJ8

Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

Answer:

Negative

Step-by-step explanation:

Slope is negative since as x increases, y decreases.

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

x^2 - 7x - 30 = (x - 10)(x + 3)

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

For more such questions on solutions

https://brainly.com/question/17145398

#SPJ8

The solution of 5√3 × 3√12 = 30√3.

Square root of a number is defined as the number in which the multiplication by itself gives the original number. That is the square root of 9 would be = 3 in which when multiplied by itself gives the original number being 9.

Other examples include √ 4 = 2, √ 25 = 5, √100 = 10.

To simplify the give expression;

5√3 × 3√12= 5√3 × 3√4×3

= 5√3 × 3×2√3

= 5√3 × 6 √3

= 30√3.

Learn more about square root here ;

https://brainly.com/question/28428939

#SPJ1

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

More can be learned about the mean of a data-set at brainly.com/question/1156334

#SPJ1

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

=The total surface area of the rectangular prism is 192 square inches.

You calculate the total surface area of the rectangular prism using the dimensions provided in the net. Since the net has 6 rectangular faces, we can find the area of each face and then sum them up to get the total surface area.

1. Top rectangle (8 inches by 3 inches): Area = length × width = 8 × 3 = 24 square inches.
Since the bottom rectangle is the same, its area is also 24 square inches.

2. Left rectangle (4 inches by 6 inches): Area = length × width = 4 × 6 = 24 square inches.
As the right rectangle is identical, its area is also 24 square inches.

3. Middle rectangle (8 inches by 6 inches): Area = length × width = 8 × 6 = 48 square inches.
The back rectangle is the same, so its area is 48 square inches as well.

Now, we'll sum up the areas of all 6 faces to get the total surface area:

Total Surface Area = (2 × 24) + (2 × 24) + (2 × 48) = 48 + 48 + 96 = 192 square inches.

To know more about surface area here:

https://brainly.com/question/29298005

#SPJ1

Answer:   5/8

Step-by-step explanation:

Answer:

The probability is 5/8

Step-by-step explanation:

First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.

Hope this helps!!

Answer: a. This scenario is an example of elastic demand, as the percentage decrease in total revenue is greater than the percentage increase in price. When a price increase leads to a more than proportional decrease in quantity demanded and revenue, demand is said to be elastic.

b. This scenario is an example of inelastic demand, as the percentage change in price does not lead to any change in total revenue. When a price increase leads to a proportionally smaller decrease in quantity demanded and revenue, demand is said to be inelastic.

c. This scenario is an example of inelastic demand, as the percentage increase in total revenue is less than the percentage increase in price. When a price increase leads to a proportionally greater increase in revenue, demand is said to be inelastic.

Step-by-step explanation:

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

Learn more about perimeter

https://brainly.com/question/397857

#SPJ1

The expression, \((-243)^{-3/5}\) on simplification using the laws of the exponent can be written as - (1/27).

Exponents are of the form aˣ, read as " a to the power x", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.

To simplify these expressions, we use the following laws of the exponents:

\(1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1\)

In the question, we are asked to simplify the expression, \((-243)^{-3/5}\).

The expression can be solved using the laws of exponent as follows:

\((-243)^{-3/5}\\\)

= \(((-3)^5)^{-3/5}\)

= \((-3)^{-3}\) {Using the law of exponent: \((a^m)^n = a^{mn}\)}

= \(\frac{1}{-3^3}\) {Using the law of exponent: \(a^{-m} = \frac{1}{a^m}\)}

= 1/(-27)

= - (1/27).

Thus, the expression, \((-243)^{-3/5}\) on simplification using the laws of exponent can be written as - (1/27).

Learn more about laws of exponents at

https://brainly.com/question/8244767

#SPJ1

Answer:

4/12

Step-by-step explanation:

To make this an equivalent fraction, we can multiply both the numerator and denominator by any number. Let's choose to multiply both by 2.

2/6 = 2*2/6*2 = 4/12

After multiplying both sides by 2, we get 4/12. Hope this helped!

\(~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7\)