Find f(-1) if f(x)=3x^3 + 5x^2

Answer:A boo

Step-by-step explanation: trust me :) ✨

An example of inductive reasoning is hypothesizing that students in the back row will score lower on exams; the hypothesis was developed because the test scores of the students in the back row are generally low  is True.

An example of inductive reasoning is hypothesizing that students in the back row will score lower on exams based on the observation that the test scores of the students in the back row are generally low. Inductive reasoning involves making generalizations or forming hypotheses based on specific observations or patterns. In this case, the hypothesis is derived from specific instances (the test scores of students in the back row) and is used to make a general claim about students in the back row scoring lower on exams.

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The function that satisfies the hypotheses of the Extreme Value Theorem on the given interval is given by

B. g(x)=6x^2+3 on 0≤x≤4

D. f(x) = (e^x)/x for 2 ≤ x ≤ 16.

Step 1: State the Extreme Value Theorem

The Extreme Value Theorem states that if a function is continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval.

Step 2: Check for continuity and closed interval for each function

A. f(x) = 1/x on −10 ≤ x ≤ 10

The function f(x) = 1/x is continuous on the interval (-10, 0) and (0, 10).

However, since the interval given is [−10, 10], we see that the function is not continuous over the closed interval.

Hence the function does not satisfy the hypotheses of the Extreme Value Theorem.

B. g(x) = 6x^2+3 on 0 ≤ x ≤ 4

The function g(x) is continuous on the interval [0, 4].

Therefore, this function satisfies the hypotheses of the Extreme Value Theorem on the given interval.

C. k(x) = {3x^2+9 for 0 ≤ x < 2, 12x for 2 ≤ x ≤ 10} on 0 ≤ x ≤ 10

The function k(x) is continuous on the interval [0, 2) and (2, 10]. H

However, since the interval given is [0, 10], we see that the function is not continuous over the closed interval.

Hence the function does not satisfy the hypotheses of the Extreme Value Theorem.

D. h(x) = (e^x)/x for 2 ≤ x ≤ 16The function h(x) is continuous on the interval [2, 16].

Therefore, this function satisfies the hypotheses of the Extreme Value Theorem on the given interval.

E. m(x) = 6x^3+x+1 on −4 < x < 3

The function m(x) is continuous on the interval (-4, 3).

However, since the interval given is [-4, ∞), we see that the function is not continuous over the closed interval.

Hence the function does not satisfy the hypotheses of the Extreme Value Theorem.

Therefore, the only function that satisfies the hypotheses of the Extreme Value Theorem on the given interval is given by

B. g(x)=6x^2+3 on 0≤x≤4

D. f(x) = (e^x)/x for 2 ≤ x ≤ 16

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Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

There is no table to look at.

Anyways, to solve for the amount they will spend you will have to do some conversions to switch yards and feet to inches. Additonally, there is also a rate missing which is the cost per inch.

So here is what you’ll have to do…

1. Solve for the slope of the equation

2. See if this linear equation has a y-intercept. It can be done by looking at the table to see where x=0 or by solving using y=mx+b where you substitite the slope for “m” and any coordinate that lies on the graph for “y” and “x” to then solve for “b” which is the y-int.

3. Then write out your equation.

4. Make the conversions

5. Solve for the cost by subtituting the units of measurement into the “x”.

√6 is greater than √2+1.

Suppose that √6 is greater than √2+1. Then we check if our assumption is correct.

So √6 > √2+1

Squaring both sides and using the identity \((a+b)^2=a^2+b^2+2ab\),

⇒ 6 > 3 + 2√2

Subtracting 3 from both sides,

⇒ 3 > 2√2

Again squaring on both sides,

⇒ 9 > 8

This is true. So our assumption is right.

Therefore,  √6 > √2+1

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Answer:

28 units^2

Step-by-step explanation:

A=1/2bh

base is 8

height is 7

A=1/2*56

A=28 units^2

Answer:

24 x 2.5 = 60...

Step-by-step explanation:

sorry if this is wrong...

have a good day

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

Answer:

the answer will be X=8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The triangles are similar (they share an angle and sides are marked as in ratio to one another).

Therefore (6x+1)=(9x-23)

6x+1=9x-23

1+23=9x-6x

3x=24

x=8

Required rate of retum for each stock is:

Based on the CAPM and the analyst's expected return estimates, Stock A is overvalued, Stock B is fairly valued, and Stock C is undervalued.

How to determine the required rate of return for each stock.?

The CAPM equation is Rj = Rf + Bj x (Rm - Rf), where Rj is the required rate of return for the stock, Rf is the risk-free rate, Bj is the beta of the stock, and Rm is the market return.

Using the graph provided, we can see that Stock A has a beta of 0.5, Stock B has a beta of 1.0, and Stock C has a beta of 1.5. Given that the risk-free rate is 6% and the market return is 10%, we can calculate the required rate of return for each stock:

Next, we can compare the analyst's expected return estimates for each stock to their required rate of return to determine if they are undervalued, overvalued, or fairly valued. If the expected return is higher than the required rate of return, the stock is undervalued and may be a good investment.

If the expected return is lower than the required rate of return, the stock is overvalued and may not be a good investment. If the expected return is equal to the required rate of return, the stock is fairly valued.

For Stock A, the analyst expects a return of 7%, which is lower than the required rate of return of 8%. Therefore, Stock A is overvalued.

For Stock B, the analyst expects a return of 10%, which is equal to the required rate of return of 10%. Therefore, Stock B is fairly valued.

For Stock C, the analyst expects a return of 13%, which is higher than the required rate of return of 12%. Therefore, Stock C is undervalued.

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Solution:

To determine the inequality that will have a shaded area below the boundary, we have to work through the given options below:

For option A, the graph is shown below:

For option B, the graph is shown below:

For option D, we have:

For option E, the graph is shown below:

From the above graphs, inequality which has its area below the boundary line is

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

Slope is 5

Step-by-step explanation:

if line is parallel to 5x + 10

then the slope has to be equal

y= mx+ b

m = 5

Answer:

3

Step-by-step explanation:

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

The answer is given below

Step-by-step explanation:

The equation of a quadratic function is given by:

ax² + bx + c where a, b and c are the coefficients of the quadratic equation. The value of a determines whether the graph opens up or down (if a is positive opens up and if a is negative opes down), the value of c determines the y intercept (if c is positive, we have a positive intercept and if c is negative the intercept is negative).

The chosen equation is -x² -4x + 5. Since it has y-intercept of 5 and opens down (coefficient of x² is -1)

Let us assume a vertical stretch of 4, the new equation becomes:

4(-x² -4x + 5)

-4x² - 16x + 20

-4x² - 16x + 20 = 0

a = -4, b = -16 and c = 20

Using the quadratic formula:

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-16) \pm \sqrt{(-16)^2-4(-4)(20)} }{2(-4)}=\frac{16 \pm 24}{-8} \\x= -5 \ or \ x=1\)

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and  reflected across y-axis then (-x, y) be the point.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph

Reflection is a process of transformation.

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Let the coordinates of a point be (4, 3).

When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).

(x, y)---->(x, -y)

The reflection of point (x, y) across the y-axis is (-x, y).

(x, y)---->(-x, y)

(4,3)  reflection across the y-axis is (-4, 3).

Hence, the reflection of point (x, y) across the y-axis is (-x, y) and  reflection of point (x, y) across the x-axis is (x, -y).

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Answer/Step-by-step explanation:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

w - 2 = 6

w -2 + 2 = 6 + 2

w = 8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

290 - x = 203

209 - 203 = 6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

23/x = 2

x = 23/2

x = 11.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

34 - x = 23

-x +34 - 34 = 23 - 34

-x = -11

-x/-1 = -11/-1

x = 11

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

43 - 23 = x

43 - 23 = 20

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

y - 340 = 40

340 + 40 = 380

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

500 - x = 250

500 - 250 = 250

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer:

w - 2 = 6 ----------- w=8

290 - x = 203 ---------x = 87

23/x = 2-----------x=11.5

34 - x = 23 --------x=11

43 - 23 = x ------------ x= 20

y - 340 = 40 ------------y = 380

500 - x = 250-----------x=250

Step-by-step explanation:

8-2=6

290-87=203

23/11.5=3

34-11=23

43-23=20

380-340=40

500-250=250

I hope this helps!

-No one

The solution set for the inequality is x < -4 or x > 1.

The given inequality is x²+3x-4>0.

The quadratic equation x²+3x-4=0 can be solved by factoring:

x²+3x-4 = (x+4)(x-1) = 0

This means that the solution set for the equation is x = -4 or x = 1.

Therefore, we can use these two solutions to determine the solution set for the inequality.

For x < -4, x²+3x-4 > 0.

For x > 1, x²+3x-4 > 0.

Therefore, the solution set for the inequality is x < -4 or x > 1.

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Answer:

m² - 100 = -99

Step-by-step explanation:

Two numbers are 10 units away from the midpoint m in different directions.

So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.

(m + 10) ( m-10) = -99

m² - 10² = -99

m² - 100 = -99

Answer

~~~~~~~~~~~~

slope: 1

y intercept: 4

equation: y=x+4

Answer:

3

Step-by-step explanation:

First step: 4x3=12

Second step 12/4=3

Answer = 3

Answer:

:)

Step-by-step explanation:

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Answer:

A " (1,-2)

B " (4,0)

C " (6,-3)

Step-by-step explanation:

Hope it helped.

° ° °

Choosing to draw last from the bowl of chips provides the highest probability of receiving an A in the course.

To determine the best position to choose for drawing a chip from the bowl, we need to analyze the probabilities associated with each position: first, fifth, and last.

1. Drawing First:

If you choose to draw first, there are 18 chips in the bowl, one of which is blue. Therefore, the probability of drawing the blue chip is 1/18. However, since the remaining 17 chips are red, the probability of not drawing the blue chip is 17/18. Hence, the probability of not getting an A in this position is higher than in the other positions.

2. Drawing Fifth:

If you choose to draw fifth, four students before you have already drawn chips. Thus, there are 14 chips remaining in the bowl, one of which is blue. The probability of drawing the blue chip in this position is 1/14. Similarly, the probability of not drawing the blue chip is 13/14. Compared to the first position, the probability of not getting an A is lower in this position.

3. Drawing Last:

If you choose to draw last, 17 students before you have already drawn chips. Therefore, there is only one chip left in the bowl, which is the blue chip. Thus, the probability of drawing the blue chip in this position is 1/1 (or simply 1), and the probability of not drawing the blue chip is 0. This guarantees that you will get an A in this position.

Based on the probabilities, drawing last gives you the highest chance of getting an A. The probability of drawing the blue chip in this position is 1, which is higher than the probabilities in the other positions. Therefore, choosing to draw last is the best choice to maximize your chances of receiving an A in the course.

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The concept of probability indicates that your choice of drawing first, fifth, or last does not impact your chances of drawing the blue chip. The probability remains 1/18 in each scenario, assuming the blue chip is not yet drawn.

The subject of this question is the concept of probability in mathematics. It involves determining the likelihood of drawing a particular colored chip from a bowl. Theaoritically, the position in which you choose to draw the chip does not impact the probability, as each student is drawing without replacement.

If you choose to draw the chip first, the probability of drawing the blue chip is 1/18, as there is one blue chip and 18 total chips. If you choose to draw fifth, the probability remains the same - 1/18. The same logic applies if you choose to draw the chip last. Your chance will still be 1/18, given the fact that the blue chip is not yet drawn.

So, based on probability theory, it does not matter whether you draw first, fifth, or last. The probability of drawing the blue chip is always 1 out of the number of remaining chips.

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it A

Step-by-step explanation: