determine whether each identity is true or false (a-b) (a-b) = a²-b² true or false (a+b) (a+b) =a²+2ab +b² true or false(a-b) (a-b) = a²-2ab+b² true or false(a+b) (a-b) = a²+2ab-b² true or false(a+b) (a-b) = a²-b² true or false(a+b) (a+b) = a²+b² true or false

Answer:

15

Step-by-step explanation:

25% is half of 50%, half of 30 is 15

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

The length is 21 feet and the width is 26.1 feet.

The perimeter of the rectangle will be

P = 2 (21 + 26.1)

P = 2 x 47.1

P = 94.2 feet

The area of the rectangle will be

A = 21 x 26.1

A = 548.1 square feet

The rectangle will have a 548.1 square foot size and a 94.2-foot periphery.

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Answer:

p^3 -p^2 -p

Step-by-step explanation:

p (p^2-p-1)

Distribute

p *p^2-p*p-p*1

Combine

p^3 -p^2 -p

Answer: -p^4+p^3+p^2

Step-by-step explanation: khan academy

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

37

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

on edg

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The chance of rolling a die and landing on a three is 1/6. The reason for this is because there are 6 sides on a die, and only one 3 on the die.

The integer +3 describes the statement, 3 inches above average.

What is an average?

A single number chosen to represent a group of numbers is called an average, and it is typically calculated by dividing the total number of numbers in the group by the number of numbers in the group. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

One point in the average refers to the amount of 1 inch.

If the average is above 3 inches, it means that the value of the average is above 3 inches. It further implies that the total value has gained 3 inches on that average.

Inches mainly describe the gains and losses in short-time investments. A positive sign (+) shows the above average, and a negative sign (-) represents the below average.

Therefore, the integer +3 describes the statement, 3 inches above average.

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Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

Answer:25

Step-by-step explanation:

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

The statement which could be true for the function g among the given answer choices is; Choice D; g (0) = 2.

It follows from the task content that the statement which could be true for the function g as described in the task content is to be determined.

Since the domain of a function f(x) is the set of all possible input values, x which the function can take while the range of the function is the set of all possible output values, f(x).

since the given domain is; -20 ≤ x ≤ 5 while range is; -5 ≤ g(x) ≤ 45.

It follows that only choice D; g (0) = 2 is true about the function as; "0" lies in the domain and "2" lies in the range of the function.

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Answer:

\(f(7) = -22 \\\)  

Step-by-step explanation:

Whenever there is a question asking to find something like f(7), it is asking you to substitute the number within those parentheses for the matching variable within the function.

To find f(7), first substitute 7 for all the x's within the function. Then, following PEMDAS, simplify like how you normally would. Multiply out \(-2^2\), then multiply 3 by 7, then add all the numbers together.

\(\\f(7) = -2^2-3(7)+3\\f(7) = -4 - 21 + 3\\f(7) = -25 + 3\\f(7) = -22\)

Thus, \(f(7) = -22 \\\).

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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The domain is all real numbers.

The range is {y|y ≤ 16}.

Option B is the correct answer.

We have,

The given parabola opens downwards and has a vertex at (-1,16).

So,

The parabola has a maximum value at y = 16.

Also, the y-intercept of the parabola is (0,15), which is below the vertex, and the parabola intersects the x-axis at (-5,0) and (3,0).

We can use the factored form of the equation of a parabola to find its equation in this case.

The factored form is:

y = a(x - h)² + k

where (h,k) is the vertex and "a" determines whether the parabola opens upwards or downwards.

Since the parabola opens downwards, "a" is negative.

Also, we know that the vertex is (-1,16), so we have:

y = a(x + 1)² + 16

To find "a", we can use one of the x-intercepts, say (-5,0).

Substituting these values into the equation gives:

0 = a(-5 + 1)² + 16

0 = 16a

a = 0

This indicates that the parabola is actually a line passing through (0,15) and (3,0). Therefore, the equation of the parabola is:

y = -x² - 2x + 15

The domain of this function is all real numbers because there are no restrictions on the values of x that can be plugged into the equation.

However, the range of the function is limited by the maximum value of y, which is 16.

Since the parabola opens downwards, all y values less than or equal to 16 are attainable.

Therefore, the domain is all real numbers, and the range is {y | y ≤ 16}.

Therefore,

The domain is all real numbers.

The range is {y|y ≤ 16}.

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Answer:

the equation is:

f(x) = 180x²

the maximum working load for a 10 inch rope = 180 · 10² = 18,000 pounds

Step-by-step explanation:

the table is missing, so I looked it up:

inches             safe working load

0                             0              

1                            180          

2                           720          

3                          1620        

180 is their common denominator:

0                      0                        0

1                      180                      1

2                     180                      4

3                     180                      9

1, 4, and 9 follow a pattern x²:

0                   0

1                    1

2                   4

3                   9

4                  16

5                  25

6                  36

7                  49

8                  64

9                  81

10                100

The MSE is approximately about 23.35 (rounded to two decimal places). MSE stands for "Mean Squared Error".

It is a common metric used to measure the average squared difference between the predicted and actual values in a set of data.

To calculate the mean squared error (MSE), we need to first square the absolute error for each observation, then take the average of the squared errors. Thus, we have:

Observation 1: Absolute Error = 2.00, Squared Error = 4.00

Observation 2: Absolute Error = 5.80, Squared Error = 33.64

Observation 3: Absolute Error = 2.22, Squared Error = 4.93

Observation 4: Absolute Error = 6.00, Squared Error = 36.00

Observation 5: Absolute Error = 7.40, Squared Error = 54.76

Observation 6: Absolute Error = 2.66, Squared Error = 7.08

To find the MSE, we add up the squared errors and divide by the number of observations:

MSE = (4.00 + 33.64 + 4.93 + 36.00 + 54.76 + 7.08) / 6 = 23.35

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Answer:

B 150 smoothies

Step-by-step explanation: I scored a 100% on the test mark me brainiest

Answer:

±10i

Step-by-step explanation:

sqrt( -100)

sqrt(  100*-1 )

We know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100)sqrt(-1)

We know that sqrt(-1) = i

±10i

Answer:

0 + 10i

Step-by-step explanation:

Answer:

the right answer is D m<Z < m<Y

Answer:

21÷3 =9

3×9=21

Therefore the answer is 9 .

Step-by-step explanation:

The calculated age that is an outlier in the dot plot is 5

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

The dot plot

The outlier is the value that is far from the other values

In this case, the value 5 is far from other values

So, the outlier in the dot plot is 5

Hence, the age that is an outlier is 5

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Answer:

(0,3.5)

Step-by-step explanation:

midpoint formula :)

Answer:

3 dimensions

Step-by-step explanation:

The first negative term of the sequence is -2

The terms of the sequence which is the first negative term can be calculated as follows:

The sequence with nth term is 150 - 4n.

The first negative term will be the first term you will multiply by 4 that will be greater than 150.

Therefore,

nth term with first negative number = 150 - 4(38)

nth term with first negative number = 150 - 152

nth term with first negative number = -2

Therefore, the first negative term of the sequence is -2

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Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

19-44=25

45-64=19 25+19=44 44-64=20

If the total bill is $1.75, then Sirak buys near about 6 eggs.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable x ax² + bx + c = 0. The fundamental theorem of algebra guarantees that it has at least one solution because it is a second-order polynomial equation.

By the given condition, we can frame the equation as

                 x(x - 8) + (x - 2)(x - 3) = 1.75

                 x² - 8x + x² - 5x +6 = 1.75

                 2x² - 13x + 6 - 1.75 = 0

                 2x² - 13x + 4.25 = 0

Solving the above quadratic equation, we get

                       x=6.15474 (or) x=0.345262

Discarding x=0.345262.

Hence, If the total bill is $1.75, then Sirak buys near about 6 eggs.

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