Raj and Nicole's polynomial expressions are added to create a sum, written in standard form. What can you determine about the degree of the sum? The sum will be degree . What can you determine about the number of terms of the sum? The maximum number of terms of the sum is , but it could be less.

Answer:

Step-by-step explanation:

D:  x ≥ -2.  This set includes x = -2 and all numbers greater than -2.

Answer: Choice D)  \(x \ge -2\)

Explanation:

We have a closed circle at -2, and shading to the right. This tells us x can equal -2, or it can be larger than -2. In short, x is greater than or equal to -2.

Symbolically, we'd write it as \(x \ge -2\)

If you wanted to graph \(x > -2\) instead, you would have an open circle to indicate "do not include this value in the solution set".

Answer:

Answer:

Step-by-step explanation:

direction=y-component/x-component

tan theta =6/-1

tan theta=-6

theta=\(tan^{-1}\)-6

theta=180 -80.53

theta=99.47°

therefore the direction of the given vector line is 99.47°

Pairwise comparison voting, also known as Condorcet voting, satisfies both majority rule and pairwise victory (the Condorcet criterion).

1. Pairwise comparison: In pairwise comparison voting, each candidate is compared to every other candidate in a head-to-head contest. Voters rank the candidates in order of preference, and the outcomes of these individual contests are used to determine the overall winner.

2. Majority rule: Majority rule is satisfied in pairwise comparison voting because, in each head-to-head contest, the candidate who receives more than 50% of the votes is considered the winner. This ensures that the candidate with the majority of votes in each comparison is acknowledged as the preferred choice.

3. Pairwise victory (Condorcet criterion): The Condorcet criterion states that if there is a candidate who can beat every other candidate in a one-on-one contest, that candidate should be the overall winner. Pairwise comparison voting satisfies the Condorcet criterion because it directly compares each candidate against all others, ensuring that any candidate who consistently wins these head-to-head contests is recognized as the overall winner.

In conclusion, pairwise comparison voting (Condorcet voting) satisfies both majority rule and pairwise victory (the Condorcet criterion) by comparing candidates in head-to-head contests, ensuring that the candidate with the majority of votes in each contest is acknowledged as the preferred choice, and recognizing any candidate who consistently wins these head-to-head contests as the overall winner.

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Answer:

the answer is No

Step-by-step explanation:

he needs $800 yet he only has $650, he will need $150 more

Answer:

D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.

Step-by-step explanation:

The system of equations that models the given situation are;

y = 10x + 35

y = 5x + 35

Let x denote the number of years since 2010

Let y denote the total members

The linear equation in slope intercept form is expressed as;

y = mx + b

where;

m is the slope or unit rate

b is the y-intercept or initial value

For the swim team, since  the team increased by an average of 10 members per year, then;

Slope = 10

In 2010, they had 5 members and so; y-intercept = 35

Thus, the equation is; y = 10x + 35

For the chorus team, we can deduce that;

Slope = 5 members per year

In 2010, they had 35 members and so; y-intercept = 35

Thus, the equation is; y = 5x + 35

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Complete question is;

Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010.

Answer:

Step-by-step explanation:

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

Answer:

6 x 4 = 24, 24 x 2 = 48

7 x 6 = 42

7 x 4 = 28, 28 x 2 = 56

6 x 4 x 1/2(basically just dividing by 2) = 12, 12 x 2(two triangles) = 24

5 x 5 = 25, 25 x 2 = 50

Add given areas:

48 + 42 + 56 + 24 + 50 = 220 ft^2 is your answer.

Answer:

x = -8

Equation: \(-2(x + 5) = 6\)

Step-by-step explanation:

Let's have the unknown number we're trying to find be represented by the variable x. We know that it's added by 5 -- which makes the expression x + 5 -- and then that sum of x + 5 is then multiplied by -2, giving us -2 (x+5). We know that doing those steps gives us the result of 6, so then the equation to find the unknown number would be -2(x+5) = 6.

To find the number x, all we have to do is solve for and isolate x in the equation we just wrote:

\(-2(x+5) = 6 \\-2x -10 = 6 \\-2x = 16\\x = -8\)

x = -8. Therefore, the number is -8.

We want to simplify the following expression

First, we can apply the distributive rule to rewrite this product

Then, using the following property

we can rewrite our expression as

We can remove the squared terms out of the root

and this is our answer.

\((3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8\)

(-1,4,1.5)

Solve by graphing, the lines intersect near the point.

Answer: (-1.4,1.5)

Step-by-step explanation:

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

\(\frac{2}{12}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{6}\)

____________________________

Take the fraction \(\frac{2}{12}\) divide BOTH the nominator and denominator by 2 (\(\frac{2}{2}\)) as if your doing regular division. You will then get \(\frac{1}{6}\). We divided by 2 (\(\frac{2}{2}\)) because that was the smallest number we could simplify to.

Answer:

I agree with Hiroko's statement. Dividing 109.2 by 6 is the same as dividing 109.2 by 6/1, which is the same as dividing 109.2 by 60/10, or 1092/60.

In general, when performing division, we can divide by any equivalent fraction instead of the divisor. For example, instead of dividing by 3, we can divide by 6/2, or 9/3, or 15/5, etc. These fractions are all equivalent to 3, since they represent the same value.

Therefore, dividing 109.2 by 6 is the same as dividing 1092 by 60, and the result will be the same in both cases.

Answer:

Step-by-step explanation:

Given

Conjugate of z is:

Product zz' is:

If ,

\(\bold{z=-3+5i }\)

so,conjugate of z

\(\overline{ z }\)=\(\bold{-3-5i }\)

Because, in argand plane \(\overline{ z }\) is the reflection of z in x-axis.

so,

According to the question,

z\(\overline{z}\)=(-3+5i)(-3-5i)

\(\bold{(-3)^2-(5i)^2 }\)

\(\bold{9-25(-1) }\)

\(\bold{ 9+25 }\)

\(\bold{ 34 }\)

Answer:

The correct answer is letter D

The probability of observing 182 or fewer women in the sample under H0, which is the same as P(X ≤ 182) ≈ 0.000000007. This is called the p-value.

We can use the binomial distribution to model this situation. Let X be the number of women in the sample of 404 people. Then X follows a binomial distribution with parameters n = 404 and p = 0.5, since the population is half women.

If the people were randomly chosen, then we can calculate the probability of observing 182 or fewer women in the sample as follows:

P(X ≤ 182) = Σ P(X = k) for k = 0, 1, ..., 182

Using a binomial probability table or calculator, we can find that:

P(X ≤ 182) ≈ 0.000000007

This means, that if the people were randomly chosen, the probability of observing 182 women or fewer in the sample is very small (less than 0.000001%).

Therefore, if we observe a sample with 182 women or fewer, we may suspect that the people were not randomly chosen and instead be biased against women.

To make this conclusion more rigorous, we can use statistical hypothesis testing. Let H0 be the null hypothesis that the people were randomly chosen and H1 be the alternative hypothesis that the people were biased against women.

We want to test if the observed sample with 182 women or fewer provides enough evidence to reject H0 in favor of H1.

We can use the significance level α to control the probability of making a Type I error, which is rejecting H0 when it is actually true. A common choice for α is 0.05.

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Step-by-step explanation:

ab + 3c = 2x

Subtract 3c from both sides

ab = 2x - 3c

Isolate b by dividing by a

b = (2x -3c)/a

Claribel needs to pay $875 for 17 months to gym, $25 for one time membership fee and $50 for 17 months.

A set or group of equations that you solve all at once is referred to as a "system" of equations. A linear equation can be represented as Ax + By +C = 0, Where A, B are coefficient and C is the constant. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.

To find the amount for Claribel, we have to find the monthly fee and one time membership fee for the gym.

Let x be one time membership fee for the gym and y be the monthly fees, so the system of equations will be,

x + 6y = 325

x + 9y = 475

Now, subtracting the above equations, we get

3y = 150

y = 50

Now, putting the value of y in first equation, we get

x + 6(50) = 325

x+300 = 325

x = 25

Now, finding the amount for Claribel,

One time membership fee + 17(Monthly Fee) = Total Amount

Putting the values,

Total Amount = 25 + 17(50)

= 25 + 850

=$ 875

Therefore, Claribel needs to pay $875 for 17 months to gym.

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Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

Answer:

15

Step-by-step explanation:

Using trigonometric ratios, the value of sinθ,  cosθ and tanθ are 8/√113, 7/√113 and 8/ respectively.

To find the values of the trigonometric function, we have to use Pythagorean theorem first to determine the hypothenuse of the triangle.

x² = 8² + 7²

x² = 113

x = √113

x = 10.63 units

a. sin θ = opposite / hypothenuse

sinθ = 8/√113

b. cos θ = adjacent / hypothenuse

cosθ = 7/ √113

c. tan θ = opposite / adjacent

tanθ = 8/7

19.

sinθ = 0.5126

Take the sin inverse of θ

θ = sin⁻¹(0.5126)

θ = 30.84°

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Answer:

i really am his alt

Step-by-step explanation:

Answer: (0, -2) & (1, 1)

Step-by-step explanation:

(a) To compute the price, p, when x = 2, we substitute x = 2 into the demand function: p = -3(2)^2 - 2(2) + 20. Simplifying this expression, we get p = -12 - 4 + 20 = 4 dollars.

(b) To compute the rate of change of demand with respect to price, we use implicit differentiation. Taking the derivative of the demand function with respect to x, we get dp/dx = -6x - 2.

To find the rate of change of demand with respect to price when x = 2, we substitute x = 2 into the derivative: dp/dx = -6(2) - 2 = -14.

Therefore, the rate of change of demand with respect to price when x = 2 is -14.

The elasticity of demand is a separate concept and requires additional information to be calculated. It is not directly related to the rate of change of demand with respect to price.

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Answer:

\(\displaystyle \frac{1}{10}(x+9)\)

Step-by-step explanation:

\(\displaystyle \frac{1}{10}x+\frac{9}{10}=\frac{1}{10}(x+9)\) because \(\displaystyle \frac{1}{10}(x+9)=\frac{1}{10}(x)+\frac{1}{10}(9)\) by the Distributive Property

The probability that the next report will weigh less than 45 grams = 0.106

In this question, we have been given the weight of written reports produced in a certain department has a normal distribution with mean 60 grams and standard deviation 12 grams.

We need to find the probability that the next report will weigh less than 45 grams.

We have mean= 60 grams

Standard Deviation = 12 grams

First we convert 45 to z score.

45 converted to z score for given mean and standard deviation will be:

z = (45 - 60)/12

z = -1.25

So, from standard normal table a P-value:

P(x<45) = 0.10565

Therefore, the probability would be 0.10565

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To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.