Use the graph of each function to estimate intervals to the nearest 0.5 unit on which the function is increasing, decreasing, or constant. Support the answer numerically.

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

The solution region for the given pair of inequalities is found to be the common shaded region in the graph attached.

For drawing the graph of any inequality, we first have to assume the inequality as an equation and draw the graph of the resulting equation. Hence, finding the points for the inequality , we let the inequality as:

Putting y=0, we get:

The point will be: (-2,0)

Now, putting x=0, we get:

The point will be: (0,4)

Now as the sign of inequality is >, the line of graph will be dotted.

Taking a test point (0,0) to find the shaded region, substituting this in the inequality,

So, the shaded region will be away from the test point.

Similarly, finding the points for the inequality , we let the inequality as:

Putting y=0, we get:

The point will be: (6,0)

Now, putting x=0, we get:

The point will be: (0,6)

Now, as the sign of inequality is of , the line of graph will be solid.

Taking a test point (0,0) to find the shaded region, substituting this in the inequality,

So, the shaded region will be towards the test point.

The resulting graph is attached after the solution.

The solution to the pair of given inequalities will be the shaded region that is common between both the individual inequality's shaded regions.

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The number of people that must be in the group is 15.

The expression for the total cost of Deal A is: $9p + $15

The expression for the total cost of Deal B is: $6p + $3p

Where p is the number of people in the group

When both promotions cost the same, both expressions would be equal:

$9p + $15 =  $6p + $3p

In order to determine the value of p, take the following steps:

Combine similar terms

$6p + 3p - 9p = 15

p = 15

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Answer:

Step-by-step explanation:

So, basically, the slope intercept form is y = mx + b

m is rise over run x is well x and b is where the original y is.

So 2x-3 is up two over one

And 1x-1 is up one over one

And take for example 2/3x + 5

That would be up two over three

Answer:

Step-by-step explanation:

The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. All square roots except perfect squares are irrational numbers. 3 is not a perfect square.

The values of θ, i.e. the general solution of the given trigonometric equation that satisfy the given equation are: 5π/12, π/12.

The general solution of a trigonometric equation is a formula employing the integer n that provides all solutions.

Given:

TO find: Values of θ.

Finding:

In the given equation: 2 cos( 4θ) - 1 = 0,

=> cos (4θ) = 1/2

=> cos (4θ) = cos (π/3)

=> 4θ = 2nπ ± π/3

=> θ = nπ/2 ± π/12

For n = 0, θ = ± π/12

For n = 1, θ = π/2 ± π/12

Since θ ∈ [0, π/2],  the possible values of θ = π/12, π/2 - π/12 = 5π/12.

Hence, The values of θ that satisfy the given equation are: 5π/12, π/12.

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Answer:

27% of a 3m is 810,000

but here answer r is 0.27 3,000,000

Numerical representation of Twenty-seven percent of three million will be 0.27 x 3,000,000 .

The correct option is B.

Given, word form Twenty-seven percent of three million.

Conversion of word form into numerical form.

1 million = 1,000,000

Using unitary method,

Multiply both sides by 3.

1 million × 3 = 1,000,000 × 3

3 million = 3,000,000

Now 27% in terms of fraction can be written as :

27% = [tex]\frac{27}{100}[/tex]

= 0.27

Combining ''Twenty-seven percent of three million" :

Of in mathematics represent multiplication .

0.27 × 3000000

Thus the correct option is B .

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Since both terms are perfect squares, factor using the difference of squares formula,

a2−b2=(a+b)(a−b) where a=y and b=3.

(y+3)(y−3)

Answer:

4/8 and 3/6 are equivalent because they both equal 1/2.

Answer:

4/8 and 3/6

Step-by-step explanation:

Answer:

Hope this helps :)

Missing fraction is 2/6

5/6 - 2/6 = 3/6 = 1/2 (simplified)

From the regression line of the data, we have that:

1) The slope is of -1.31.

2) The intercept is of 272.17.

3) The correlation coefficient is of -0.9.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(31, 206), (51, 229), (87, 184), (102, 126), (120, 103).

Inserting these points into a calculator, the equation of the line is:

y = -1.31x + 272.17.

Hence:

1) The slope is of -1.31.

2) The intercept is of 272.17.

Also inserting these points into a calculator, the correlation coefficient is of -0.9.

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From the given ratio, the number of yellow flowers are; 40 flowers

We are given;

Total number of flowers in the garden = 56

Ratio of orange to yellow flowers is; 2:5

Thus;

Fraction of total gives;

Fraction that is orange flowers = 2/7

Fraction that is yellow flowers = 5/7

Thus;

Number of yellow flowers = (5/7) * 56

Number of yellow flowers = 40 yellow flowers

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Answer: it cost 14 dollars

Step-by-step explanation:

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 50h + 30

We are given the following costs in the car detailing shop as follows;

Cost of Materials = $30

Cost per hour for labor = $50

Since the equation of a line in slope intercept form is; y = mx + c, then we can say that the equation here can also be expressed as;

C(h) = 30 + 50h

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 30 + 50h

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The answer choice which could represent the real-world description of 4x - 17 is; $17 less than the cost of 4 hot dog combos.

It follows from the task content that the real-world description of the expression; 4x -17 is to be identified.

On this note, if the cost of 1 hot dog is; x.

Hence, the cost of 4 hot dogs is; 4x.

Ultimately, the given expression represents; $17 less than the cost of 4 hot dog combos.

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Answer: C

Step-by-step explanation:

The two numbers by setting up a linear equation are 32 and 56 respectively

A linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y

If the sum of two numbers is 88, then;

x + y = 88

If one number is 4 more than half the other number, then

x = 1/2y + 4

Substitute equation 2 into 1

x + y = 88

(1/2y+4) + y = 88

1/2y+y + 4 -88 = 0

3/2y - 84 = 0

3/2y. = 84

3y = 2(84)

3y = 168

y = 56

Determine the value of x

x =88 - 56

x = 32

Hence the two numbers by setting up a linear equation are 32 and 56 respectively

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The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

It follows from the task content that the expression which is as given in the task content be evaluated, and hence, expressed in its simplified form.

Given;

3a × 5w

Since, the constants can be multiplied and their product determined, it follows that we have;

(3 × 5) (a × w)

And ultimately, we have the value of the expression to be; 15aw.

Therefore, The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

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Nearly 80% of those surveyed said they want to work for a company that values diversity, equity, and inclusion issues.

Value is utilized as capital raised by an organization, which is then used to buy resources, put resources into ventures, and asset tasks. A firm commonly can raise capital by giving obligation (as a credit or through bonds) or value (by selling stock). In finance, value is responsibility for that might have obligations or different liabilities joined to them. Value is estimated for the purpose of bookkeeping by taking away liabilities from the worth of the resources. For instance, on the off chance that somebody possesses a vehicle worth $24,000 and owes $10,000 on the credit used to purchase the vehicle, the distinction of $14,000 is value. Value can apply to a solitary resource, like a vehicle or house, or to a whole business. A business that requirements to fire up or grow its tasks can offer its value to raise cash that doesn't need to be reimbursed on a set timetable.

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The number of players randomly selected is 381 and the standard deviation is 1.96.

The standard deviation is a measurement of how much a group of values varies or is dispersed. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection. The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

[tex]Z(\alpha /2)=1.96[/tex]

Sample size = n = [tex][Z(\alpha /2 * \sigma/E) ]^{2}[/tex]

n = [1.96 * 3.0 / 0.95]²

n = 381.85

n ≈ 381

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0, 1, 2, 4, 5, and 7.

So that would be 6 digits.

In mathematics, the only single symbol used to represent a number is a digit. For instance, there are two digits in the numbers 89: 8 and 9. As a result, in everyday life, digits like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 0 are employed to represent groups of numbers and perform mathematical operations. A positional numeral system uses a single sign, such as "2," or a set of symbols, such as "25," to represent numbers. The word "digit" derives from the fact that the ten fingers of the hands, or digit in Latin, corresponding to the ten symbols of the decimal system, which uses the base-10 numeral system.

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Answer:

Last option

Step-by-step explanation:

→ Find the sum for how much he spent

[tex]\frac{2}{3} +\frac{1}{4} =\frac{11}{12}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

48 or -48

Step-by-step explanation:

For given number 100

the exponent form = 10²

the word form = One Hundred

For given question,

The area of a closet is 100 square feet.

We need to write the number in exponent form and word form.

First we write given number in exponent form

⇒ 100 = 10 × 10

⇒ 100 = 10²

So, the exponent form given number 100 is 10²

And the word form of given number is : One Hundred

Therefore, for given number 100

the exponent form = 10²

the word form = One Hundred

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Answer:

2

Step-by-step explanation:

First you do the 2² which is 4 then 5-4 is 1-3 is -2³ is -8/-4 is 2

Answer:

6.3 hours

Step-by-step explanation:

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

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The statement, "A survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job" describes Inferential statistics.

Inferential statistics is a sort of statistic that requires people to reach a conclusion based on some previously provided samples. In the statement above, we can see some statistics that have been previously stated that is followed by a conclusion.

The assumption that is made in the latter part of the statement is the reason why the statement can be referred to as inferential statistics.

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Answer:

4 × 4 is 16.

Multiplication:

Multiplication is the operation of increasing a value by another value the number of times the other value says to increase the first value.

e.g, 5 × 6 = 30

Answer: 15 burgers

Step-by-step explanation:

7.74/6=$1.29 per burger

$19.35* 1 burger/$1.29=

19.35*1/1.29=

19.35/1.29=15 burgers

Answer:

LCD = 9

Step-by-step explanation:

1/3 = 3/9

3/9 =3/9

Answer: It is 3/2 = p

Step-by-step explanation:

1. 2p - 9 = 3(2p - 5)
2. 2p - 9 = 6p - 15
3. -9 = 4p -15
4. 6 = 4p
5. 3 = 2p
6. 3/2 = p

Answer:

6/4 or 3/2

Step-by-step explanation:

To this problem, we need to use the distributive property, and we also need to combine like terms.

2p-9=3(2p-5)

2p-9=6p-15

Subtract 2p on both sides

-9=4p-15

Add 15 on both sides

6=4p

Now divide 4 on both sides

6/4 or 3/2

I hope this helped!

Have a wonderful day!

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