The function f(x) is graphed below. How many points on the graph represent a relative minimum? PLEASE need help i don't understand. Need by TONIGHT!!!

The required number of papers he can write in one hour is 2 pages.

Given that,
Derek is writing an essay for school, He writes 1/6 page in 1/12 of an hour.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Number of pages written = 1/6
Time = 1/12
Rate = 1/6 / [1 / 12]
Rate = 1/6 × 12 / 1
Rate = 2 pages per hour

Thus, the required number of papers he can write in one hour is 2 pages.

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The solutions to the absolute functions |3x - 1| - |2x + 5 - (5 - x)| = 0,  |2(x + 1) - 4| - 4| = |2 - 2(2 - x)|, |(x - 2) / 4| - 1/3 = x and 1/2|x - 3| - 1 = |x - 3| + 2 are 1/6, 1, 2/15 and no solutions respectively

An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. Generally, we can represent the absolute value function as, f(x) = a |x - h| + k, where a represents how far the graph stretches vertically, h represents the horizontal shift and k represents the vertical shift from the graph of f(x) = |x|. If the value of 'a' is negative, the graph opens downwards and if it is positive, the graph opens upwards.

In the questions given;

Question 1

|3x - 1| - |2x + 5 - (5 - x)| = 0

x = 1/6

Question 2

|2(x + 1) - 4| - 4| = |2 - 2(2 - x)|

x = 1

Question 3

|(x - 2) / 4| - 1/3 = x

x = 2 / 15

Question 4

1/2|x - 3| - 1 = |x - 3| + 2

This equation does not have a solution

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The relative minimum from the given graph is located at d.

Given that, the function [tex]f(x)[/tex] is graphed below.

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph). Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

A relative minimum of a function is all the points x, in the domain of the function, such that it is the smallest value for some neighborhood. These are points in which the first derivative is 0 or it does not exist.

From the given graph, point d is a relative minimum.

Hence, the relative minimum from the given graph is located at d.

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The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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In accordance with Pythagorean theorem, no point is 4 units away from point M.

In this problem we find the coordinates of points A, B, C, whose coordinates are (- 4, 2), (2, 7) and (8, - 6), respectively, and the location of point M, whose coordinates are (- 4, - 6), all set on Cartesian plane. We need to determine if at least one of those three points (A, B, C) are four units away from point M. This can be checked by means of Pythagorean theorem:

AM = √[(- 4 - 2)² + [- 6 - (- 4)]²]

AM = √[(- 6)² + (- 2)²]

AM = 2√10 = √40

BM = √[(- 4 - 2)² + (- 6 - 7)²]

BM = √[(- 6)² + (- 13)²]

BM = √205

CM = √[(- 6 - 8)² + [- 4 - (- 6)]²]

CM = √[(- 14)² + 2²]

CM = 10√2 = √200

There is no point that is four units away from point M.

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The number of people that like sausage or mushrooms as shown in the Vann diagram is 30.

Venn diagrams are diagrams used to visually depict sets, relationships between sets, and operations on sets

To determine the number of people that like sausage or mushrooms from the Vann diagram, we use the Formula below.

Formula:

n (S ∪ M) = n (S) + n (M) − n (S ∩ M) ................. Equation 1

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the people who like sausage or mushrooms is 30

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As per the concept of unitary method, there are 180.8 ml of the 65% mixture will you need to add to obtain the desired solution

Unitary method:

Basically, the way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Given,

You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also have 65% alcohol mixture.

Here we need to find how much of the 65% mixture will you need to add to obtain the desired solution.

Let us consider x be the amount of the 65%  alcohol needed (in milliliters.

Here the amount of the resulting 65%  alcohol solution will be is (x+15) milliliters.

So, the amount of the "pure" alcohol in 300 mL of the 20% alcohol solution is written as,

=> 0.20 x 300 mL.

And the amount of the "pure" alcohol in x mL of the 65% alcohol solution is written as,

=> 0.65 * x mL.

Therefore, the total amount of the "pure" alcohol in ingredients is the sum  and it can be calculated as,

=> 0.20*300 + 0.65*x mL.

So, it should be equal to the amount of the "pure" alcohol in the mixture, which is written as,

=> 0.35 * (x+15) ml.

Therefore, your "pure alcohol" equation is

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

When we simplify this one then we get the value of x as,

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

=> 0.65x + 60 = 0.35x + 5.25

=> 0.3x + 54.25

=> x = 180.8

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Answer:

The correct answer is: B. Yes; the other factor is 1 since 1 × 1 = 1.

Step-by-step explanation:

Answer:

20-29 songs

Step-by-step explanation:

Artists with 20-29 songs had the highest total number of people in the crowd.

The student solved the equation and determined that the solution was -2. This is wrong as the solution is 0.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

This will be illustrated as:

1.5x - 2 = -2

Collect like terms

1.5x = - 2 + 2

1.5x = 0

Divide

x = 0/1.5

x = 0.

Therefore, the student is wrong.

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The slope of the lines are -2/9 and 14/3.Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.

Explanation:

m = (-8 - -6)/(3 - -6)

   = -2/9.

m = (-6 - 8)/(-6 - -3)

   = -14/-3 = 14/3.

The slope of the lines are -2/9 and 14/3.  

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Step-by-step explanation:

Mr. Perez bought a living room showcase listed at 150,580 Pesos but discounted into 127,993 pesos. What was the rate of the discount?

(150,580 - 127,993) / 150,580 = 15%

There were 7.76 billion chees produced until 2006 and  8.99 billion cheese produced until 2014.

The mathematical model can be used in the solving of a particular problem. Most importantly, we could use the mathematical models to be able to solve a problem or make predictions about the future.

We can now use the model that is shown as ;y=7.1(1.03)ˣ where x = the number of years after 2003.

a) For the year 2006, we can see that the number of years that ahs past is three years hence;

y = 7.1(1.03)^3

y = 7.76 billion chees

b) For 2014 we have 8 years thus we can write;

y = 7.1 (1.03)^8

y = 8.99 billion cheese

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The domain and the range for each function, considering the three notations, are given as follows:

1.

Domain:

Range:

2.

Domain:

Range:

The domain of a function is the set containing all the input values of a function, hence on the graph it is given by the values of x for which the function is defined.

The range of a function is the set containing all the output values of a function, hence on the graph it is given by the values of y which the function assumes.

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Answer: None of these

Step-by-step explanation:

[tex]3^x+2 > -1\\\\3^x > -3\\\\3^x \geq 0 \forall x \in \mathbb{R} \implies x \in (-\infty, \infty)[/tex]

As per the given angle of elevation, the height of the building is 368.5 ft.

Angle of elevation:

Basically, an angle between the horizontal plane and line of sight from the observer's eye to some object above is known as angle of elevation.

Given,

The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building.

Here we need to find the height of the building and round to the tenths.

Here we know that the angle of elevation of the building in New York is written as,

=> θ = 2°

And the distance of observation point from the building is given as,

=> l = 2 miles

Here we know that, 1 miles = 5280 feet

So, the value of l in feet is,

=> l = 2 x 5280

=> l = 10560

Now, it is required to calculate the height of the building. Use the concept of trigonometry to find the height,

So, the height is calculated as,

=> tan θ =h/l

Apply the values on the formula, then we get,

=> tan 2° = h/10560

=> 0.0349 = h/10560

=> h = 0.0349 x 10560

=> h = 368.5 feet.

Therefore, the height of the building is 368.5 ft.

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Answer & Step-by-step explanation:

This question is just a matter of reading the graph correctly. There is really no explanation for this question. But I'll try my best.

1997 for age 65 or older

Bachelor's degree or higher: The yellow bar starts at 75% and ends at 100%

To find how much percent of people 65 or older had a bachelor's degree in 1997, you subtract...100-75 = 25%

College/associate degree: 75 - 54 = 21%

High school graduates: 54 - 22 = 32%

Less than a High school diploma: 22 - 0 = 22%

Total: 25+21+32+22 = 100%

2007 for age 65 or older

Bachelor's degree or higher: 100 - 69 = 31%

College/associate degree: 69 - 46 = 23%

High school graduates: 46 - 13 = 33%

Less than a High school diploma: 13 - 0 = 13%  

Total: 31+23+33+13 = 100%

Hope this helped :)

The simplified fraction and the original fraction have the same value. Option D is correct.

Given that,
To justify, how is a fraction related to its simplified form.

Fraction is defined as the number of compositions that constitute the Whole.

Here,
The value of the fraction does not change when it is brought into a simplified form.

Thus, the simplified fraction and the original fraction have the same value. Option D is correct.

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The inequality (x - 6) / (x + 5) ≥ (x + 7) / (x + 3) is equivalent to (-15x - 53) / x² + 8x + 15 ≥ 0

Two or more inequalities are equivalent inequalities if they have the same solution set. Similar to equivalent equations, applying properties of Inequality to an inequality produces an equivalent inequality.

In the given inequality

(x - 6) / (x + 5) ≥ (x + 7) / (x + 3)

This can be reduced to

x < -5 or -53/15 ≤ x < -3

In the options given;

(-15x - 53) / x² + 8x + 15 ≥ 0 has the same reduction of x < -5 or -53/15 ≤ x < -3.

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Answer:

Step-by-step explanation:ask a pro

Step-by-step explanation:

Form of an exponential function is

[tex]y = a \times b {}^{x} [/tex]

where a is the initial value, and b is the rate of growth

We know that when x=2

[tex]100 = a \times b {}^{2} [/tex]

when x=4

[tex]2500 = a \times b {}^{4} [/tex]

If we divide these two quantities we would get

[tex]25 = b {}^{2} [/tex]

[tex]b = 5[/tex]

So our rate of common growth is 5,

so b=5

[tex]y = a \times 5 {}^{x} [/tex]

We need to find the initial value, this means we solve for a.

[tex]100 = a \times 5 {}^{2} [/tex]

[tex]100 = a \times 25[/tex]

[tex]4 = a[/tex]

So our equation is

[tex]y = 4(5) {}^{x} [/tex]

or

[tex]y = 4 \times 5 {}^{x} [/tex]

The required equation is y = 2.5x + 15 which shows the relationship between the number of hours Connor spends writing today,X, and the total number of pages.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Connor has already written 15 pages of his new young adult novel and he will write more today. He expects to write 2.5 pages per hour

Let x represents the number of hours Connor spends writing today and y represents the total number of pages,

According to the given situation, we can write the equation as:

⇒ y = 2.5x + 15

Therefore, the required equation is y = 2.5x + 15.

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2003 - Lea would be 11, and as there is 22 years between them Mr Jackson would be 33, which is 11 X 3.

The number line that contains each of these points marked is given by the image presented at the end of the answer.

It depends if the number to be plotted is an integer or if it is a decimal.

The numbers that will be plotted in this problem are defined as follows:

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Answer:

?? There are 27 students!

11+13 = 24 students play those sports

How can there be 5 students who play neither sport! I'm kind of confused!

Step-by-step explanation:

Answer:

22 / 27

Step-by-step explanation:

See Venn diagarm below

[tex]a_n=80\left(\frac{5}{4}\right)^{n-1}[/tex]is the formula for the nth term of the given sequence.

What is sequence?

In mathematics, a sequence is a list of components, usually numbers, where the components' order is important.

Here, everything fits into a predetermined pattern. In real life, we encounter sequences frequently.

Sequences include things like house numbers in a row, income increases over time (by a set dollar amount or percentage), book pages, etc.

A list of numbers (or other components) that follow a specific pattern is called a sequence.

Olivia, for instance, has been given a job with a starting monthly pay of $1,000 and a $500 annual raise.

Are you able to determine her monthly pay for the first three years? $1000, $1500, and $2000 will be the amounts.

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