Find the 20th term in arithmetic sequence -4, 1, 6, 11, 16,

The domain function of this table is C) {3,4,5,6}. Option c is the correct answer.

The domain of a function is the set of all possible input values. In this case, the input values are the X-values in the table.

The X-values in the table are 3, 4, 5, and 6. Therefore, the domain of the function is {3, 4, 5, 6}.

So the answer is (C).

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The chances of getting 4 when a die is rolled three times will be 216.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Given that a die is rolled 3 times. The chances of getting 4's will be calculated as:-

In a die, there are 6 numbers from 1 to 6. At one time only one number will come. the combination will be

Combination = 6 x 6 x 6

Combination = 216

Therefore, the chances of getting 4 when a die is rolled three times will be 216.

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The correct options are A, D, and G.

Correct statements about the graph are:

A. It has a minimum.

D. Vertex at (-1, -9).

G. Y-intercept at (0, -8).

To determine the truth of the statements given about the graph, we will analyze the graph step by step:

1. **Identify the Vertex**: The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. This graph opens upwards, so the vertex will be the minimum point.

2. **Find the Vertex**: We need to locate the vertex on the graph by looking for the point where the graph changes direction.

3. **Check for Maximum or Minimum**: Since this parabola opens upwards, it will have a minimum point but not a maximum.

4. **Determine the Zeros**: Zeros are the points where the graph crosses the x-axis. These are also known as the roots or solutions of the quadratic function when set to zero.

5. **Locate the Y-Intercept**: The y-intercept is the point where the graph crosses the y-axis.

6. **Examine the Solutions**: The solutions of the quadratic function are the x-coordinates of the zeros of the function.

7. **Assess the Y-Intercept**: We will find the y-coordinate of the point where the graph intersects the y-axis.

Now, let's examine the graph based on these steps:

A. **The graph has a minimum** - True. The parabola opens upwards, which means it has a minimum point where the vertex is located.

B. **The graph has a maximum** - False. Since the graph opens upwards, it does not have a maximum point; the vertex represents a minimum.

C. **The graph has zeros of -4 and 2** - False. The zeros of the graph (where it crosses the x-axis) appear to be different from -4 and 2, as the graph does not touch the x-axis at these points.

D. **The vertex is located at (-1,-9)** - True. By looking at the graph, it appears that the vertex, which is the minimum point, is indeed at the point (-1,-9).

E. **The graph has y-intercepts at (-4,0) and (2,0)** - False. A graph can only have one y-intercept, which is where it crosses the y-axis. The points given are actually x-intercepts or zeros of the function.

F. **The solution of the quadratic function represented by the graph is (-1,-9)** - False. The solution to a quadratic function is typically the x-values where the function crosses the x-axis (the zeros). The vertex is not the solution to the function; it is simply the minimum or maximum point.

G. **The y-intercept of the graph is (0,-8)** - True. The y-intercept is where the graph crosses the y-axis, which appears to be at (0,-8) according to the graph.

Hence, the correct statements are A, D, and G. The graph has a minimum at the vertex (-1, -9) and a y-intercept at (0, -8). It does not have a maximum, and the zeros are not at -4 and 2 as stated in option C. The solutions to the quadratic function would be the x-values of the zeros, not the vertex coordinates.

The complete question is here:

Which of the following statements are true about the graph? Check all that apply.

(GRAPH IS GIVEN BELOW)

A. The graph has a minimum.

B. The graph has a maximum.

C. The graph has zeros of -4 and 2 .

D. The vertex is located at (-1,-9).

E. The graph has y-intercepts at (-4,0) and (2,0).

F. The solution of the quadratic function represented by the graph is (-1,-9).

G. They-intercept of the graph is (0,-8).

The statements that are true from the graph are:

Why are the statements true ?

There is a vertex on the graph, which implies that there is either a minimum or maximum point. In this case, since the vertex is shown, it indicates a minimum point on the graph.

The vertex of a quadratic function in the form y = ax ² + bx + c is given by the coordinates (-b / 2a, f(-b/2a)), where a, b, and c are coefficients of the quadratic equation.

The y-intercept is the point where the graph crosses the y-axis, and it occurs when x = 0. This is shown to be the point ( 0, - 8 ).

The full question is:
Based off of the graph which of the following statements are true. select all that apply

A. The graph has a minimum.

B. The graph has a maximum.

C. The graph has zeros of -4 and 2 .

D. The vertex is located at (-1,-9).

E. The graph has y-intercepts at (-4,0) and (2,0).

F. The solution of the quadratic function represented by the graph is (-1,-9).

G. They-intercept of the graph is (0,-8).

Answer:

x = -8

Step-by-step explanation:

Hello!

Algebra is based on the concept of unknown values called variables, the value of each variable must remain the same in each problem.

Here are steps to solve your problem!

1. Pull out like terms:

-x - 8  =   -1 • (x + 8)

2. Solve  -x-8 = 0

Add 8 to both sides of the equation:

-x = 8

Multiply both sides of the equation by (-1)

x = -8

Therefore, x = -8

Hope this Helps!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total amount Jenna have is only $100.

But the cost of 6 games is $120.

No, Jenna doesn't have enough money to buy 6 games.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount saved = $100

Cost of each game = $20

The cost of 6 games that cost $20:

= 20 x 6

= $120

The total amount Jenna have is only $100.

But the cost of 6 games is $120.
This means,

Jenna doesn't have enough money to buy 6 games.

Thus,

The total amount Jenna have is only $100.

But the cost of 6 games is $120.

No, Jenna doesn't have enough money to buy 6 games.

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Answer: 2879.431 pounds

Step-by-step explanation:

Given : The Great Foods Warehouse contains 9435 pounds of watermelons.

There are 6555.569 pounds of watermelons in the Tasty Food Warehouse.

Clearly , 9435 > 6555.569.

By using Subtraction operation, The amount of watermelon needed by Tasty Food Warehouse to have to get the same amount of watermelons as the Great Food Warehouse will be :-

9435-6555.569=2879.431 pounds

Hence, the Tasty Food Warehouse needs to have 2879.431 pounds to gwt the same amount of watermelons as the Great Food Warehouse.

Solving this problem requires the supplement of the actual expression. However I believe you forgot to include it with the question.

However I believe that the expression is in the form of:

y = A e^(-k t)

where,

y is the number of bacteria after time t

A is a constant and represents the initial number of bacteria

k is the growth rate in decimal form

t is time

So whatever is located in A is the initial number of bacteria, while k times 100% is the growth rate.

Answer:

A

Step-by-step explanation:

Answer with explanation:

The given function is

     [tex]y=\frac{x}{2}-2[/tex]

→2 y = x-4

→x -2 y -4=0

The function represents Linear function.

To plot the linear function on x y plane, we will write function in the form of slope intercept form, which is as follows

       [tex]\frac{x}{a}+\frac{y}{b}=1\\\\\frac{x}{4}+\frac{y}{-2}=1[/tex]

So, the graph will cut X axis at , (4,0) and (0, -2).

To draw a unique line we need two points . The unique line will pass through (4,0) and (0, -2).

It would take Lisa approximately 8.669 minutes to run 2 kilometers at her rate of speed.

To find out how long it would take Lisa to run 2 kilometers, we need to convert the distance she can run in a mile to kilometers. Since there are 1.60934 kilometers in a mile, we multiply the time it takes her to run a mile (7 minutes) by the conversion factor (1.60934 kilometers/mile). This gives us the time it would take her to run 1.60934 kilometers. To find the time it would take her to run 2 kilometers, we can set up a proportion:

Calculating this gives us x ≈ 8.669 minutes. Therefore, it would take Lisa approximately 8.669 minutes to run 2 kilometers at her rate of speed.

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Karl's balance at the end of Tuesday is a net profit of $40, after combining his loss of $80 from Monday with his profit of $120 from Tuesday.

To find Karl's balance at the end of Tuesday, we need to combine his loss from Monday with his profit from Tuesday. Karl recorded a loss of -$80 on Monday. On Tuesday, he made a profit of $120. Add the two amounts together to find Karl's total balance after these two days.

Monday: -$80
Tuesday: +$120

Combining them, -$80 (loss) + $120 (profit) equals to a net profit of $40.

Therefore, Karl's balance at the end of Tuesday is $40.

To solve this problem, we use the z statistic.  The z formula is:

z = (x – u) / s

where x is lakers score = 101.7, u is Celtics score = 99.2, s is standard dev = 10.5

z = (101.7 – 99.2) / 10.5 = 0.24

using the normal distribution table at z = 0.24, the P value is:

P (z = 0.24) = 0.5984 = 59.84%