Determine whether Rolle's Theorem applies to the following function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.
g(x) = x3 + x2-x-1:(-1,1)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are x =
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.

Answer:

22%

Step-by-step explanation:

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Answer:

81%

Step-by-step explanation:

The total number of Large drinks: 27

The probability that a customer orders a Hot and Large drink if the customer ordered a Large is the ratio of the number of Hot and Large drinks to the number of Large drinks:

22/27 = 0.8148 = 81.48%

Answer:

Move 18 18 to the left side of the equation by adding it to both sides. x3 ...

9514 1404 393

Answer:

  D. Infinitely many solutions

Step-by-step explanation:

To compare two linear equations, it is handy to have them in the same for. It doesn't really matter what that form is. You generally want to reduce the equations as far as possible by removing any common factors from the coefficients.

Here, we can put both equations into standard form: ax +by = c.

First equation:

  y = -3x +5 . . . . given

  3x +y = 5 . . . .  add 3x

Second equation:

  6x +2y = 10 . . . . given

  3x + y = 5 . . . . divide by 2

These two equations are now identical. That means they describe the same line, so any (x, y) pair that satisfies one of these equation will also satisfy the other one (obviously). That means there are an infinite number of points these lines have in common, an infinite number of solutions.

__

More about number of solutions

Above is one of the possibilities.

Another possibility is that the left side looks the same, but the right side is different. For example, ...

  3x +y = 5

  3x +y = 4

The ratios of the coefficients of x and y are the same (a:b = 3:1). That means these lines have the same slope and they are the equations of parallel lines. They do not intersect, so this set of equations will have no solutions.

Another suitable form for comparing the slopes is slope-intercept form. The above two equations in that form would be ...

  y = mx + b

  y = -3x +5

  y = -3x +4 . . . . . . same slope, different y-intercept

__

If the equations are different (except as just noted), there is one solution. Lines with different slopes must cross somewhere. They will cross exactly once.

Answer: hi

Step-by-step explanation:

To apportion the 50 seats using Lowndes' method, you will need to follow these steps:

   Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.

   Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.

   Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.

Here is the apportionment for the five counties using these steps:

County Population Apportionment Ratio Initial Allocation Seats Received

Adams 71,000 0.088 4.4 4

Grant 483,000 0.591 28.9 29

Colton 224,000 0.274 13.7 14

Davis 406,000 0.500 25.0 25

Hayes 444,000 0.547 27.4 27

Total 1,928,000 50 50

So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.

9514 1404 393

Answer:

  54

Step-by-step explanation:

The external angle is half the difference of the subtended arcs.

  x° = (136° -28°)/2 = 108°/2

  x = 54

Answer:

D)

Step-by-step explanation:

f(-3) = 2

f(0) = -5

[f(-3) - f(0)] ÷ -3-0

[2-(-5)] / -3

7/-3

Answer:

$8/hour

Step-by-step explanation:

For each hour worked, she makes $8/hour (144/18). So depending on how many different hours worked, she will earn $8 x hours worked.

Answer:

$8

Step-by-step explanation:

Answer:

Find answers below.

Step-by-step explanation:

The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.

Scenario 1;

y = 9 + x

Mathematically, the equation of a line is given by the formula;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Comparing the two equations, we have;

y = mx + c = 9 + x

Constant, c = 9

Slope, m = 1

Scenario 2.

y = 9 - x

y = mx + c = 9 - x

Constant, c = 9

Slope, m = -1

Answer: 0

Step-by-step explanation:

When x = 6, y = 0 [since the graph passes through (6,0)].;

1) The equation is:

y = -29/x

And when we evaluate in x = 2, we get y = -14.5

2)  The equation is:

y = 88/x

And when we evaluate in x = 2, we get y = 44

We know that the variables x and y vary inversely, then the equation between these variables will be something like:

y = k/x

Where k is a constant.

1) First we know that when x = -1, y = 29, replacing these values we will get:

29 = k/-1

-1*29 = k

-29 = k

Then the equation is:

y = -29/x

If now we evaluate in x = 2, we will get:

y = -29/2

y = -14.5

2) Now we know that x = 8 and y = 11, replacing these we get:

11 = k/8

11*8 = k

88 = k

So the equation is:

y = 88/x

If now we replace x by 2, we will get:

y = 88/2 = 44

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Answer:

Step-by-step explanation:

The answer is 46

Answer:

» x : 3 :: 15 : 5

» x = 15

3 5

» x = 15 × 3

5

» x = 3 × 3

» x = 9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Base area = (base x width) = 20 x 18 = 360 cm^2

Base perimeter = (base + width) x 2 = (20 + 18) x 2 = 76 cm

lateral surface = (base perimeter x height) = 76 x 15 = 1140 cm^2

Surface area = (base area x 2) + lateral surface = (360 x 2) + 1140= 1860 cm^2

surface area of a single prism = 1860 / 2 = 930 cm^2

Answer:

19,725

Step-by-step explanation:

The liners function are not direct variation

The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.

For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation

If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a

In the problem, the variables are compared as follows

feet = k * sec

k = feet / sec

For the first values, k = 33 / 3 = 11

For the second values, k = 36 / 6 = 6

since 11 ≠ 6 the function is not a direct variation

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Answer:

The sale price is 34 euros.

Step-by-step explanation:

40 * .85 (100% - 15% = 85% or .85) = 34

The measure of the missing angle is 17 degrees.

Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.

Now considering the given question, we are to find the measure of the missing angle. We have;

cos θ = 0.9563

where θ is the missing angle the value of which is to be determined.

Thus, divide both sides of the expression by cos to have;

cos θ/ cos = 0.9563. cos

θ = cos^-1 0.9563

θ = 17.0 degrees

Therefore, the value of the missing angle is 17 degrees.

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Answer:

3 x y + 4 x + 6  and x (3 y + 4) + 6

Step-by-step explanation:

The probability that a blue marble was chosen both times is 60%.

We have given that,

Type the correct answer in the box. Use numerals instead of words.

A jar contains 3 blue marbles and 2 red marbles.

A marble is randomly selected from the jar and replaced, and then a second marble is chosen.

The probability distribution for a random variable describes how the probabilities are distributed over the values of the random variable.

3+2=5.

3/5 is the blue marble.

You may also say 6/10.

It is likely you will pull out a blue marble.

0.6×100=60

Therefore, The probability that a blue marble was chosen both times is 60%.

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Answer:

The ANSWER on top is WRONG

the correct answer is 36%

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

Step-by-step explanation:

ANSWER He is 14 and she is 7 because 21 - 7 is 14

22 cards were sold by the Anand.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Bob's Gift Shop sold 550 cards for Mother's Day.

One salesman, Anand, sold 4% of the cards sold for Mother's Day.

We need to find the number of cards sold by Anand

Convert 4% to decimal by dividing 4 by 100

4/100=0.04

Now multiply 0.04 with 550

0.04×550

22

Hence, 22 cards were sold by the Anand.

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Answer: see below...

Step-by-step explanation:

1. Reflection across the y axis.

2. Translation by a vector (0, -6): 0 units to the right/left, 6 units down.

Answer:

Step 1 is a reflection across the y- axis.

Step 2 is a translation 6 units down.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18 pens

Step-by-step explanation:

6:5 so

5x3=15

6x3=18

Answer:

B

Step-by-step explanation: