Dilate tge solid citcle by a scale factor of?

The quadratic equation is \(x^2+x-12\)

What is quadratic equation?

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is:

ax² + bx + c = 0

where x is an unknown variable and a, b, c are numerical coefficients.

Given, the roots of quadratic equation as (3,-4).

The formula to find the quadratic equation, as

x2 – (Sum of the roots)x + Product of the roots = 0

Sum of roots = 3-4

=-1

Product of roots = 3(-4) = -12

The quadratic equation is

x²+x-12

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Answer:

7/10 is the answer as a fractions

Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

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The solution to the inequality 6x - 18 ≥ -19 + 3x In interval notation,is [-1/3, +∞).

Given the inequality in the question:

6x - 18 ≥ -19 + 3x

To solve the inequality 6x - 18 ≥ -19 + 3x, move all terms containing x to the left side of the inequality:

6x - 18 ≥ -19 + 3x

6x - 3x - 18 ≥ -19

Move all terms not containing x to the right side of the inequality:

6x - 3x  ≥ -19 + 18

Simplifying, we get:

3x  ≥ -1

Divide both sides by 3

x ≥ -1/3

Therefore, the solution is x ≥ -1/3 or [-1/3, +∞) in interval notation.

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Answer:

The graph of the polynomial function f(x) = x^4 + x^3 - 2x^2 will depend on the behavior of the function as x approaches infinity and negative infinity, as well as the location and behavior of any local extrema.

To determine the behavior of the function as x approaches infinity and negative infinity, we can look at the leading term of the polynomial, which is x^4. As x becomes very large (either positive or negative), the x^4 term will dominate the expression, and f(x) will become very large in magnitude. Therefore, the graph of the function will approach positive or negative infinity as x approaches infinity or negative infinity, respectively.

To find any local extrema, we can take the derivative of the function and set it equal to zero:

f(x) = x^4 + x^3 - 2x^2

f'(x) = 4x^3 + 3x^2 - 4x

Setting f'(x) equal to zero, we get:

4x(x^2 + 3/4x - 1) = 0

The solutions to this equation are x = 0 and the roots of the quadratic expression x^2 + 3/4x - 1. Using the quadratic formula, we can find these roots to be:

x = (-3 ± sqrt(33))/8

Therefore, the critical points of the function are x = 0 and x = (-3 ± sqrt(33))/8.

To determine the behavior of the function near each critical point, we can use the second derivative test. Taking the second derivative of f(x), we get:

f''(x) = 12x^2 + 6x - 4

Evaluating f''(0), we get:

f''(0) = -4

Since f''(0) is negative, we know that x = 0 is a local maximum of the function.

Evaluating f''((-3 + sqrt(33))/8), we get:

f''((-3 + sqrt(33))/8) = 11 + 3 sqrt(33)/2

Since f''((-3 + sqrt(33))/8) is positive, we know that x = (-3 + sqrt(33))/8 is a local minimum of the function.

Evaluating f''((-3 - sqrt(33))/8), we get:

f''((-3 - sqrt(33))/8) = 11 - 3 sqrt(33)/2

Since f''((-3 - sqrt(33))/8) is also positive, we know that x = (-3 - sqrt(33))/8 is another local minimum of the function.

Based on this information, we can sketch the graph of the function as follows:

Therefore, the statement that describes the graph of this polynomial function is: "The graph of the function has a local maximum at x = 0 and two local minima at x = (-3 ± sqrt(33))/8. As x approaches infinity or negative infinity, the graph of the function approaches positive or negative infinity, respectively."

Answer:

B

Step-by-step explanation:

The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$  (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.

Answer: 8n^2

Step-by-step explanation:

I did test and got 100

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

The original conditional statement is represented as p→q, not p−q. Now, the converse of a conditional statement is formed by switching the hypothesis and the conclusion. So, if the original statement is p→q, then the converse is q→p.

Hope it helped:)

a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

4,-6

Step-by-step explanation:

Answer:

y = -4x + 5

Step-by-step explanation:

Slope of the line passing through \((x_1,y_1)\) and \((x_2,y_2)\) is represented by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Given line in the graph is passing through two points (0, 5) and (2, -3),

m = \(\frac{5+3}{0-2}\) = (-4)

Equation of the line passing through \((x_1,y_1)\) and slope m will be,

\(y-y_1=m(x-x_1)\)

Therefore, equation of the line passing through (0, 5) and slope = -4 will be,

y - 5 = -4(x - 0)

y - 5 = -4x

y = -4x + 5

answer

just put the -4 in the y spot and 5 in the x spot

Step-by-step explanation:

The Pythagorean theorem is used to determine the length of side c =  12.12cm

According to the Pythagorean theorem, the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides. The hypotenuse is the side that faces the right angle. Consequently, in this instance, c2 = a2 + b2.

given are 20°, 8 cm, and 9 cm.

To determine c's length

replacing the specified values: c^2 = 8^2 + 9^2

c = √(8^2 + 9^2) = √(64 + 81) = √(145)\sc = 12.12 cm

Therefore, side C is 12.12 cm long.

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Answer:

tell me the answer hello tell ne

Based on the data the correct interpretation of the interval is that we are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches. (Option B)

In statistics, a confidence interval indicates the probability that a population parameter will lie between a set of values around the population mean. It measures the degree of certainty or uncertainty in a sampling method. It is a range of values which are bounded above and below the statistic's mean that likely would contain an unknown population parameter. Confidence level is the percentage of certainty or probability of the confidence interval would include the true population parameter when a random sample is repeatedly drawn. Hence, in the given case based on the information we are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches.

Note: The question is missing options which are A. We are 94% confident that the population mean height of college basketball players is 66.35 inches. B. We are 94% confident that the population mean height of college basketball players is between 65.6 and 67.1 inches. C. A 94% of college basketball players have heights between 65.6 and 67.1 inches. D. There is a 94% chance that the population mean height of college basketball players is between 65.6 and 67.1 inches.

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Answer:

6. 30% 7. -30%

Step-by-step explanation:

6. The total comment after the song released =5000

Then, the next day comment add up by 1500

Thus, (1500/5000) × 100

=30% of increase

7. 15.5-10.75 =4.75

(4.75/15.5 )×100= 30%

So, the decrease is -30%( If its about increase then its a positive number, but if its decrease just add a '-')

Answer:

See below ↓↓

Step-by-step explanation:

6.

8.

It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

\(p(x)=8x+10\)

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

\(46=8x+10\)

Subtract 10 from both sides:

\(36=8x\)

Divide both sides by 8:

\(x=36/8\)

Reduce:

\(x=4.5\)

So, we spent about 4.5 hours.

The value are m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

To simplify \sqrt[4]{400}, we can rewrite it as \sqrt[4]{16 \cdot 25}. This is because 400 can be factored into 16 \cdot 25. Taking the fourth root of each factor separately, we have \sqrt[4]{16} \cdot \sqrt[4]{25}.

\sqrt[4]{16} simplifies to 2, since2^4 = 16. \sqrt[4]{25} does not simplify further since there are no perfect fourth powers that can be multiplied together to give 25.

Therefore, the simplified form of \sqrt[4]{400} is 2\sqrt{25}. We can rewrite \sqrt{25} as 5, so the final simplified form is 2 \cdot 5.

Thus, the value of m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

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Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

PRESS THAT THANKS BUTTON!!!

Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

Answer:

y = -x - 1

Step-by-step explanation:

-2y=-x+2

y—x-1

Answer:

Step-by-step explanation:

the answer is d

A. prices do not change in both curve is wrong cause there is a slope so the average price level and prices could change

B. is not right cause when you compare the two different graph they seem similar so there is similarity between the two

C. there not inverse cause the demand slope and the aggregate supply curve are the same positive slope/

D. is the correct answer

Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

Where

Let k represent the original price

Substitute the values into the formula above

Hence, the original price, k, of the pair of Zeus running shoes is $240

Answer: 0.8 miles

Step-by-step explanation:

Let the distance in miles for 2.5 minutes be A

10 minutes -> 3.2 miles

2.5 minutes -> A miles

Using proportion,

2.5 / 10 = A / 3.2

1 / 4 = A / 3.2

Hence,
A = 3.2 / 4 = 0.8

Answer:

Step-by-step explanation:

GH bisects ∠FGI.

So,  ∠HGI =∠FGH

6x - 17 = 5x - 8      {Add 17 to both sides}

        6x = 5x - 8 + 17

        6x = 5x + 9     {Subtract 5x form both sides}

  6x - 5x = 9

a) x = 9

b) ∠FGH  = 5* 9 - 8

               = 45 - 8

  ∠FGH  = 37

c) ∠HGI = 6*9 - 17

            = 54 - 17

   ∠HGI = 37

d) ∠FGI = ∠FGH + ∠HGI

            = 37 + 37

  ∠FGI = 74  

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:(-27, -123)

Step-by-step explanation:

Answer: -27,-123

Step-by-step explanation: