Two baseball teams have a game Monday night. Within the first minute, they sell 7 adult tickets and 13 student tickets for a total of $146. The next minute they sell $276 worth of tickets by selling 14 adult tickets and 24 student tickets. Create a system of equations to model the scenario. Determine the cost of one adult ticket and one student ticket. Use mathematics to justify your answer.

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

C D

Step-by-step explanation:

Answer:

a) 8

b) 4

Step-by-step explanation:

Suppose N = the total number of balls.

The probability of determining an N ball in the box is \((0.5)^N\)

However, the probability of finding all the balls in either of the one boxes is:

\(= 2(0.5)^N\)

If the number of favorable outcomes is 3125 out of 8 x 105 seconds

Then, the probability is:

\(2(0.5)^N = \dfrac{3125}{8\times 10^5}\)

\(N = log_{0.5}(0.004)\)

\(N = \dfrac{log (0.004)}{log_{10}(0.5)}\)

\(\mathbf{N \simeq 8}\)

The balance in the two boxes will be achieved when we have an equal number of balls in the same boxes and half the total no. of balls in the two boxes.

So;

\(N_1 \sim N_2\)

\(N_1 \sim \dfrac{N}{2}\)

where; N = no of balls

\(N_1 \sim \dfrac{8}{2}\)

\(\mathbf{N_1 \simeq 4}\)

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

The scale of the x-axis is 3 seconds per box and the scale of the y-axis is 1 meter per box. The correct option is d.  x -axis is 3 seconds per box   y-axis is 1 meter per box

From the question, we are to determine the scale for each axis

From the given information,

The graph is drawn to be 20 boxes by 20 boxes

The range of values for the x-axis is 0 to 60 seconds

and

The range of values for the y-axis is 0 to 20 meters

Thus,

The scale of the x-axis will be

60 seconds ÷ 20 boxes = 3 seconds per box

The scale of the y-axis will be

20 meters ÷ 20 boxes = 1 meter per box

Hence, x -axis is 3 seconds per box and y-axis is 1 meter per box

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Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

Answer:

21. An= 100 (2)^n-1

22. $51,200

23. n= 15

Step-by-step explanation:

21. 100, 200, 400, 800, 1600...

An= A r ^n-1

22. a10= 100(2)^10-1

a10= 100(2)^9

23. n=14

a14= 100(2)^14-1= 819200

n= 15

a15= 100(2)^15-1= 1638400

Answer:

141 baskets

Step-by-step explanation:

Take the total amount of money and divide by the cost per basket

3256/23

141.5652174

Since we cannot buy part of a basket, round down

141 baskets

Total baskets

Round to previous whole

141 baskets

Answer:

y= (x+9)^2

Step-by-step explanation:

If h<0 ( negative) then it shifts to the right, if it is is h>0 ( positive number) then it shift to the left!

y = x2

Shift 2 units left:  y = (x+2)2

Then, shift up 9 units:  y = (x+2)2 + 9

Then, reflect in the x-axis:  y = -(x+2)2 - 9

Answer:

\(A(L) = 4L - L^2\)

Step-by-step explanation:

Given

Perimeter = 8m

Required

Determine its area as a function of length

Represent Length and Width with L and W, respectively;

Perimeter (P) is calculated as thus;

\(P = 2(L + W)\)

Substitute 8 for P

\(8 = 2(L + W)\)

Divide both sides by 2

\(4 = L + W\)

Make W the subject of formula

\(W = 4 - L\)

Area (A) of a rectangle is calculated as thus:

\(A = L * W\)

Substitute 4 - L for W

\(A = L * (4 - L)\)

Open bracket

\(A = 4L - L^2\)

Represent as a function

\(A(L) = 4L - L^2\)

Area of rectangle in terms of length L is

\(A(L)= 4L-L^2\)

Given :

A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides

We know that the perimeter of rectangle formula is

\(perimeter = 2(length)+2(width )\)

perimeter is 8m

Let the length of rectangle is L

\(P=2L+2W\\8=2(L+W)\\4=L+W\\W=4-L\)

so width is 4-L

Now we use area formula

Area of rectangle = length times width

\(A=L(W)\\A=L(4-L)\\A= 4L-L^2\)

Area of rectangle in terms of length L is

\(A= 4L-L^2\)

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Answer:

a.(-1,8), (2,9) b. (2,0) (3,5)

Step-by-step explanation:

a.

for (-4, 7) slope is \(\frac{1}{3}\)

slope is m=rise /run =rise 1/run3 so to go to the next point

from (-4,7)

rise 1 so now you are at (-4,8) and run 3 and you are at (-1,8)

from (-1,8)

rise 1 to (-1, 9) and run 3 to (2,9)

b

(1,-5) slope is \(\frac{5}{1}\)

from (1,-5) rise 5 to (1,0) and run 1 to (2,0)

from (2,0) rise 5 to (2,5) and run 1 to (3,5)

9514 1404 393

Answer:

  A  The number of miles driven will always be greater than or equal to zero and cannot be less than zero.

Step-by-step explanation:

The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.

__

In real life, the domain is likely non-negative integers.

Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

Please mark me brainliest ♥️

Answer:

line graph

Step-by-step explanation:

edge 2022

Answer:

18c - 9

Step-by-step explanation:

F(4)=9 is the value for this function.

A function that is defined by numerous smaller functions across various time intervals is known as a piecewise function. The domain of a function is the sum of all the smaller domains, and each sub-function has its own formula and domain. The input value and the function that establishes that interval determine the function's output.

The typical functional notation, which represents the body of a function as an array of functions and related subdomains, can be used to define piecewise functions. Together, these subdomains must encompass the entire domain; frequently, it is also necessary for them to be pairwise disjoint, or constitute a partition of the domain.

x=4 is bigger than or equal to 0 because it.

we use the third function definition

F(x)=x+5.

Therefore, F(4)=4+5=9.

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\(\implies {\blue {\boxed {\boxed {\purple {\sf { 18 {x}^{2} - 69x - 55}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( = (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)\)

\( = (9x + 5) + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)\)

\( = 9x + 5 + 18 {x}^{2} + 10 x- 90x - 50 + 2x - 10\)

Collect the like terms.

\( = 18 {x}^{2} + (9x + 10x- 90x + 2x) + (5 - 50 - 10)\)

\( = 18 {x}^{2} + (21x - 90x) +(5 - 60)\)

\( = 18 {x}^{2} - 69x - 55\)

\(\sf\pink{PEMDAS\: rule.}\)

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

jc is 40 i think

Step-by-step explanation:

Answer:

40(Maybe)

Step-by-step explanation:

I'm not 100% sure that 40 is correct but I'm pretty sure it is.

Answer:

the experimental probability of being struck by lightning in this city is approximately 0.56667%.

Step-by-step explanation:

The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials or observations. In this case, the event is being struck by lightning, and the trials are the total number of people in the city.

The number of people struck by lightning is given as 85, and the total population of the city is 1.5 million. To find the experimental probability of being struck by lightning in this city, we can divide the number of people struck by lightning by the total population and multiply by 100% to express the answer as a percentage:

Experimental probability = (number of people struck by lightning / total population) * 100%

Experimental probability = (85 / 1,500,000) * 100%

Experimental probability = 0.0056667 * 100%

Experimental probability = 0.56667%

Therefore, the experimental probability of being struck by lightning in this city is approximately 0.56667%.

Answer:

21.6

Step-by-step explanation:

7.20 x 3 =21.6

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

The word that describes the slope of the line representing the data in the table is "negative."

To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.

Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.

The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.

Therefore, the word that describes the slope of the line representing the data in the table is "negative."

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Answer:

the y value would be 9

full translation(-5,9)

Step-by-step explanation:

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)

The y-value for the E coordinate after the translation of the points will be 9.

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).

Therefore, the y-value for the E coordinate after the translation of the points will be 9.

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Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

In the first three months of a leap year, there are 91 days.

A leapyear is a year that has an extra day, February 29, added to the calendar almost every four years.

Add the days in the first three months together to get the total number of days.

January has 31 days in total.

29 days make up the month of February.

31 days make up the month of March.

The total number of days will therefore be 31+29+31 = 91.

Consequently, a leap year's first three months have 91 days.

2024 will be the next leap year.

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Answer: He should call the card card company and discuss the charges and make it known that he did not make those charges. He should address each charge by the amount shown.  Once he has finished, the credit card company will call the company that sent in the request for payment and inform the company there are questions about the charges and request that the charges be removed.

.

Step-by-step explanation:

The most appropriate choice for differentiation will be given by

h'(3) = 24.02

h''(3) = \(210.48\)

What is differentiation?

Differentiation is the process in which instantaneous rate of change of function can be calculated based on one of its variables.

Here,

h(x) = tan(4x + 8)

h'(x) = \(\frac{d}{dx} (tan(4x + 8))\)

       = \(sec^2(4x + 8)\frac{d}{dx}(4x + 8)\)

       = \(4sec^2(4x + 8)\)

h'(3) =

\(4sec^2(4\times 3 + 8 )\\4sec^220\\24.02\)

h''(x) =

\(\frac{d}{dx}(4sec^2(4x + 8))\\4\times 2sec(4x + 8)\times \frac{d}{dx}(sec(4x + 8))\\8sec(4x + 8)sec(4x+8)cosec(4x+8)\times\frac{d}{dx}(4x + 8)\\32sec^2(4x + 8)cosec(4x +8)\)

h''(3) =

\(32sec^2(4\times 3+8)cosec(4\times 3+8)\\32sec^220cosec20\)

\(210.48\)

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-5h+495 = 55

-5h= -440

h=88

Answer:

its B

Step-by-step explanation: trust me but also you can graph it and it will show the points