What is f(–2)?
help me...

a) The given function x² - 2x + 4 = x24 O has an absolute maximum value and an absolute minimum value on the interval [-1,1].Answer: FalseExplanation: The given function is `x² - 2x + 4`.First, we need to find the critical points of the function and then check the sign of the second derivative at those points.If the second derivative is positive at any critical point, then the function will have a minimum value at that point. If the second derivative is negative at any critical point, then the function will have a maximum value at that point.The critical points of the function `f(x) = x² - 2x + 4` can be found by setting the first derivative equal to zero.`f'(x) = 2x - 2 = 0`Solving for x, we get x = 1.So, the only critical point of the function is x = 1.Now, we need to check the sign of the second derivative at x = 1.`f''(x) = 2`Since the second derivative is positive, the function has a minimum value at x = 1. But this point is not in the interval [-1,1]. So, the given statement is false.b) The Total Revenue is increasing when the demand is elastic and the price is increased slightly.Answer: TrueExplanation: When the demand is elastic, a slight increase in price will lead to a large decrease in demand. As a result, the total revenue (which is the product of price and demand) will increase.c) If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is increased slightly from $10.Answer: FalseExplanation: If the demand is unitary, then the percentage change in demand is equal to the percentage change in price. In other words, the elasticity of demand is 1.When the unit price is $7, the revenue is maximized. If the price is increased slightly from $7, the revenue will decrease. But if the price is increased from $7 to $10, the revenue may increase or decrease, depending on the elasticity of demand.d) The Total Revenue is decreasing when the demand is inelastic and the price is increased slightly.Answer: FalseExplanation: When the demand is inelastic, a slight increase in price will lead to a small decrease in demand. As a result, the total revenue (which is the product of price and demand) will increase.e) If demand is unitary when the unit price is p = $7, then revenue will increase if the unit price is increased slightly from $10.Answer: FalseExplanation: If the demand is unitary, then the percentage change in demand is equal to the percentage change in price. In other words, the elasticity of demand is 1.When the unit price is $7, the revenue is maximized. If the price is increased slightly from $7, the revenue will decrease.

The answer for each statements are:

(a) False (b) True (c) True (d) False (e) False

We have,

(a) False.

The function x² - 2x + 4 does not have an absolute maximum or an absolute minimum value on the interval [-1,1] because it is a quadratic function that opens upward.

It has a vertex (minimum point) but no absolute maximum or minimum.

(b) True.

When demand is elastic, a slight increase in price leads to a relatively larger decrease in the quantity demanded.

As a result, total revenue increases because the decrease in quantity demanded outweighs the increase in price.

(c) True.

If demand is unitary elastic, a slight increase in the unit price will lead to an equal percentage decrease in quantity demanded.

Since the percentage decrease in quantity demanded outweighs the increase in price, revenue will decrease.

(d) False.

When demand is inelastic, a slight increase in price leads to a relatively smaller decrease in the quantity demanded.

As a result, total revenue increases because the decrease in quantity demanded is not significant enough to offset the increase in price.

(e) False.

If demand is unitary elastic, a slight increase in the unit price will lead to an equal percentage decrease in quantity demanded.

Since the percentage decrease in quantity demanded is equal to the percentage increase in price, revenue will remain the same, not increase.

Thus,

(a) False (b) True (c) True (d) False (e) False

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sin(2x) = -24/25, cos(2x) = 7/25, and tan(2x) = -24/7 based on the given information about cos(x) and csc(x). These values represent the sine, cosine, and tangent of twice the angle x.

To find sin(2x), cos(2x), and tan(2x) from the given information, we will utilize the identities and relationships between trigonometric functions.

Given information: cos(x) = 4/5 csc(x) < 0 First, let's find sin(x) using the identity \(sin^2(x) + cos^2(x)\) = 1:

\(sin^2(x) = 1 - cos^2(x)\\sin^2(x) = 1 - (4/5)^2\\sin^2(x) = 1 - 16/25\\sin^2(x) = 9/25\)

sin(x) = ±√(9/25)

Since csc(x) = 1/sin(x), we can determine the sign of sin(x) by looking at csc(x) < 0. Since csc(x) is negative, sin(x) must be negative. Therefore, sin(x) = -3/5.

Using double-angle trigonometric identities, we can find sin(2x), cos(2x), and tan(2x): sin(2x) = 2sin(x)cos(x) sin(2x) = 2(-3/5)(4/5) sin(2x) = -24/25

\(cos(2x) = cos^2(x) - sin^2(x)\\cos(2x) = (4/5)^2 - (-3/5)^2\\cos(2x) = 16/25 - 9/25\\cos(2x) = 7/25\)

tan(2x) = sin(2x) / cos(2x) tan(2x) = (-24/25) / (7/25) tan(2x) = -24/7 Therefore, sin(2x) = -24/25, cos(2x) = 7/25, and tan(2x) = -24/7 based on the given information about cos(x) and csc(x). These values represent the sine, cosine, and tangent of twice the angle x.

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Answer:

your welcome

Step-by-step explanation: its 6(10)+180=5x

A is the Answer

Step-by-step explanation:

Have a good day

factorise 3 squared+ 5x +12

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

A goniometer is a tool used to measure the range of motion of a joint. It helps determine the degrees of flexion and extension of the joint. By using this device, healthcare professionals can assess the mobility and flexibility of a joint.


A goniometer is a simple tool that consists of two arms and a protractor. It is used to measure the range of motion of a joint, such as the shoulder or knee. The arms of the goniometer are aligned with the bones on either side of the joint, and the protractor is used to measure the angle between the arms. This angle indicates the degrees of flexion and extension of the joint.

For example, if a physical therapist wants to assess a patient's knee mobility, they would place the goniometer on the patient's knee joint and measure the angle as the patient moves their leg. This measurement helps determine the extent of movement and any limitations or abnormalities in the joint.

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Answer:

pie

Step-by-step explanation:

No, at 0°F the ticket sales would be -631.25 and it is not reasonable (or possible) to have negative ticket sales in a linear regression model for predicting ticket sales.

In the statistics, the concept of regression analysis is useful for creating a predictive model that predicts the value of a target or dependent variable using all the controlling independent or explanatory variables. Depending on the number of independent variables, regression can be called simple regression or multiple regression. We have a linear regression model that predicts ticket sales for popular water parks.

The regression line equion in this model is written as -631.25 + 11.25 (current temperature in degree F). Comparing above equation with y = a + bx, here, the interaction in the equation above means that hourly ticket sales will be -631.25 when the current temperature (in degrees Fahrenheit) is 0. This does not make sense because hourly ticket sales can be at least 0 but never a negative number. So, it is not reasonable interpretation.

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Step-by-step explanation:

Grade 7 Science. Solutions… a review. A homogeneous mixture They appear as ONE substance Examples: tap water, vinegar, gold jewelry.

Nonlinear dynamics and chaos are important fields of study within mathematics that focus on the behavior of complex systems that are difficult to predict. These systems can exhibit chaotic behavior, which is characterized by extreme sensitivity to initial conditions and the appearance of random patterns and fluctuations over time.

Differential equations are often used to model such systems, and numerical methods like 2nd order Runge-Kutta and 4th order Runge-Kutta can be used to solve them. The differential equation given in this to solve this equation using the 2nd order Runge-Kutta method, we need to follow these steps.

Write a conclusion based on the results obtained. The solution for the differential equation dy/dt = y²t using 2nd order Runge-Kutta and 4th order Runge-Kutta methods is more than 250 words, depending on the number of steps taken and the level of detail included in the explanation.

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Answer - Blue; x > 2 and x ≤ -3

Ok so one most to the left shows an arrow going "lesser" and starting at -3. Since the dot covers -3, that means it is equal to or less than -3.

So the on most to the right starts at 2 and the arrow is point "greater"

The circle is hollow, meaning is does not include 2. So that means it's greater than 2.

♡  Hope this helped! ♡

❀ 0ranges ❀

Answer: A

Step-by-step explanation: I used my mind (lie), u good

Given

Find

Greatest Common Factor

Explanation

Factors of

common factors are

Final Answer

Hence , the greatest common factor is

Answer:

?

Step-by-step explanation:

Answer:

58°

Step-by-step explanation:

they are alternate interior angles.

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

<95141404393>

Answer: x ≥ 15

Step-by-step explanation:

The first step is to write an equation:

205 - 2x ≤ 175

This is because Alex wants to reach his target of 175 pounds, he needs to weigh less than or equal to 175 pounds after x amount of weeks.

The second step is to solve:

205 - 205 - 2x ≤ 175 - 205

- 2x/-2 ≤ -30/-2

x ≥ 15

When solving an inequality, and multiplying or dividing to isolate the variable, you must switch the sign.

So this is why x ≥ 15.

I hope I helped and have a great day! ^-^

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).

For each sample, the mean and the standard error are given as follows:

For the distribution of differences, they are given by:

The interval is given by:

\(\overline{p} \pm zs\)

In this problem, we have a 90% confidence level, hence\(\alpha = 0.9\), z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

Hence the bounds of the interval are:

\(\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534\)

\(\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434\)

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Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

\(\sqrt{71}\)+6=perimeter

Hope that helps :)

9514 1404 393

Answer:

  2x -1

Step-by-step explanation:

The perimeter is the sum of the side lengths.

  P = 6 + (x -4) + (x -3)

  P = 2x -1 . . . . . . collect terms

The perimeter is 2x -1.

_____

Additional comment

There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.

Answer:

1.63

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

D. x = 2 − √7 and x = 2 + √7

Step-by-step explanation:

-x² + 4x + 3 = 0

Multiply both sides by -1.

x² − 4x − 3 = 0

Factor using quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(1)(-3)) ] / 2(1)

x = (4 ± √28) / 2

x = (4 ± 2√7) / 2

x = 2 ± √7

x = 2 − √7, 2 + √7

Given data:

The expression for the new bikes as compared to used bies is n=4x.

The numbers of new bikes are n=96.

Substitute 96 for n in the given expression.

Thus, the numbers of used bikes are 24.

Recall that the opposite of 2 is

Therefore, the opposite of the opposite of 2 is

Now, recall that a horizontal number line is of the form:

Therefore, 2 is to the right of zero.

Answer:

On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.

Answer: $6.995

Step-by-step explanation:

Based on the information provided in the question, the amount of money that Carlos use to pay for the items will be:

= (2 × $2.99) + (1/2 × $0.79) + $0.62

= $5.98 + $0.395 + $0.62

= $6.995

Based on the calculation above, Carlos paid for the items with $6.995

Answer:

The answer is x = 43

Step-by-step explanation:

Solve for  B  by simplifying both sides of the equation, then isolating the variable.

hoped helped!

Brainly, please?

Answer:

B = 43

Step-by-step explanation:

1. Distribute.

5b + 15 = 4b - 28 + 2b

2. Combine like terms.

5b + 15 = 6b - 28

3. Get B on one side.

5b + 15 = 6b - 28

-5b + 28 = -5b + 28

43 = b

Answer:

(4, 4)

Step-by-step explanation:

On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.

x-coordinate = 2

y-coordinate = 3

•Moving 2 units to the right adds 2 to the x-coordinate.

∴ new x-coordinate = 2 + 2 = 4

• Moving 1 unit up adds 1 to the y-coordinate.

∴ new y-coordinate = 3 + 1 = 4

∴ You will end up on the point (4, 4).