Describe the end behavior of the graph of the following polynomial function:

Answer:

I don't know the value of X. The question says it's in question 2.

Step-by-step explanation:

Explanation on picture

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

[tex]f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})[/tex]

This gives

[tex]f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})[/tex]

Evaluate the products

[tex]f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})[/tex]

Evaluate the like terms

[tex]f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}[/tex]

So, we have

f(x) = x²+ 2/3x - 1/9

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Answer:

1/3

Step-by-step explanation:

(4/6) - (1/3)

The denominators need to be the same, so let's convert the second term to (2/6), which is the same as (1/3)

(1/3)*(2/2) = (2/6)

Now we can wite:

(4/6) - (2/6)

This is equal to 2/6 or 1/3

Hello!

The equation [tex]\frac{4}{6} - \frac{1}{3}[/tex] simplified is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Begin by giving both equations common denominators in this case we will use 18.

For the first set of fractions we multiply 4 by 3 to get 12 and for the second set of fractions we multiply 1 by 6 to get 6.

Our new set of fractions will look like this [tex]\frac{12}{18}[/tex][tex]- \frac{6}{18}[/tex]

Now we can subtract the numerators since our denominators match.

[tex]12-6=6[/tex] so the new answer will be [tex]\frac{6}{18}[/tex]

It's time to simplify both sets of fractions before we can completely solve the equation. (divide by 2, then 3)

[tex]\frac{6}{18}[/tex] ÷ [tex]2=\frac{3}{9}[/tex] ÷ [tex]3=\frac{1}{3}[/tex]

Since 3 is larger than 1 we are done reducing, time to solve for the final answer.

[tex]\frac{4}{6} -\frac{1}{3} =\frac{1}{3}[/tex]

Hope this helps!

the diameter of a circle is 20

The radius of circle is the half of the diameter of the circle :

Radius = Diamter/2

In the given question , we have Diameter = 20

So,

Radius = 20/2

Radius = 10

The expression for the radius 'r' of the circle is express as :

Substitute the value of Radius r = 10 in the expression of the area of circle:

Area of the circle is 314

Answer : 314 unit square.

The graph of g(x) with the graph of f(x): Option D, which is a shift of 2 units to the left, is correct.

What is Function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

We are aware that the graph of the modified function is:

for every parent function f(x).

g(x) = f(x + a)

is a left- or right-shift of the parent function f(x), depending on the value of a.

The shift is 'a' units to the left if a>0.

The shift is 'a' units to the right if a0.

Here, G(x) has been changed as follows:

G(x) = F(x + 2)

i.e. a=2>0.

2 units up: G(x) = F(x) + 2.

2 units down: G(x) = F(x) - 2.

2 units to the left: G(x) = F(x + 2).

2 units to the right: G(x) = F(x - 2).

Hence, Option D, which is a shift of 2 units to the left, is correct.

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Answer: The daily cost of production in a factory is calculated using

c(x) = 200 +16 x, where x is the number of complete products manufactured.

Complete products manufactured will can not be a decimal or fraction number.

The domain of function c(x) will be the set of  values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.

Option D) whole numbers is the right answer.

(4) f(1) = 3, f(n+1)=3f(n) - 2

Step-by-step explanation: I hope this helps.

Answer:

See attached worksheet

Step-by-step explanation:

The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

For the given question,

The perimeter of the triangle is 50 units.

The three sides of the triangle is given as;

The formula for finding the perimeter is;

Perimeter =  sum of all sides.

Let 'P' be the perimeter of the triangle. Then,

P = x-1 + 2x-3 + 3x - 6

Simplifying.

P = x + 2x + 3x - 1 - 3 - 6

50 = 6x - 10

6x = 60

x = 10

For the measure of the side length, put x = 10 in the sides.

Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

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Answer: (5x - 1)(x + 9)

Step-by-step explanation:

    Please note the method of factoring may differ per class, but this is how I was taught.

    First, we will multiply the coefficient of x² by the constant.

5 * -9 = -45

   Next, we will find two numbers that add up to 44 (coefficient of x) and multiply to -45 (the number we got above).

-1 * 45 = 45

-1 + 45 = 44

       -1 and 45 ✓

   Now, we can start to factor. First, we will rewrite 44x.

5x² + 45x - 1x - 9

   Then, we will factor by grouping.

5x(x + 9) -1(x + 9) ➜ (5x - 1)(x + 9)

      The completely factored form is:

                    (5x - 1)(x + 9)

SOLUTION

We want to solve the equation

cross multiplying, we have

Hence the answer is x = 2, the first option

yes,  5^x a polynomial. a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

In the given expression 5^x x is a variable and 5 is a real number.

5^x is a finite polynomial or infinite polynomial. It depends upon the value of x. If x is finite then 5^x is a  finite polynomial  and if x is infinite then  5^x is a  infinite polynomial.

Hence If x is finite then 5^x is a finite polynomial  and if x is infinite then  5^x is a  infinite polynomial.

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Answer:

Remember, ratios are just fractions, and fractions are just division problems.

Step-by-step explanation:

Step-by-step explanation:

25%of 20 is 5

subtract from the total of the whole candy.

The value of the unknown angle x is 22 degrees.

SV is a parallel to RU.

RV is a transversal line that cut across the parallel lines SV and RU.

Therefore,

x = ∠V(alternate angles)

Alternate angles are congruent.

Hence,

∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)

x + 44 + 5x + 4 = 180

x + 5x + 48  = 180

6x + 48 = 180

6x = 180 - 48

6x = 132

divide both sides by 6

x = 132  /6

x = 22 degrees

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Answer: 18.1 cm, ( i think you can use a ruler)

Step-by-step explanation:

Using the stated transformation, the graph of g(2x) is given at the end of the answer.

An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:

g(x) = f(ax).

The definition of stretch or compression depends on the value of the constant a, as follows:

In this problem, the rule is:

f(x) = g(2x).

Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:

That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.

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The number of customers he would have in the seventh week is 37.

The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.

The linear equation that represents the number of customers in the seventh week:

Initial number of customers + [ rate of increase x (number of weeks - 1)]

25 + [2 x (7 - 1)]

25 + (2 x 6)

25 + 12 = 37

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Answer: -2 and -3

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

−6 − 3

= −6 + −3

= -9

Answer:

-9!

Step-by-step explanation:

When you add negatives, it becomes more negative. Think of -6 getting 3 smaller.

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

A number is squared when it is multiplied by itself.

Hence, the correct option is Option B

The area of the rectangle is, 128 square inches.

What is perimeter, area?

The area of a shape or figure is the area it occupies, whereas the perimeter of a shape is the distance it encircles on all sides. 

The square unit or unit2 is used as the unit of area, and the unit is also used for the perimeter.

Given: A rectangle has a length that is twice the size of its width. The perimeter of the rectangle is 48 inches.

Suppose the width of the rectangle is x.

So, the length is 2x.

As perimeter is 48 inches.

So, x + x + 2x + 2x = 48

6x = 48

x = 8 inch.

The width of the rectangle is 8 inches.

Therefore, the length of the rectangle is 2x = 2(8) = 16 inches.

Now to find area of the rectangle,

Since,

Area of rectangle =  length x width

                             =  16 x 8

Area of rectangle = 128 inch^2.

Therefore, the area of the rectangle is 128 square inches.

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Answer:

n>-1/40

Step-by-step explanation:

Hope this helps!! (I promise...it's the right one)

Answer:

b) n > (-1/40)

Step-by-step explanation:

Given equation,

→ n - (3/8) > (-2/5)

Now the value of n will be,

→ n - (3/8) > (-2/5)

→ n > (-2/5) + (3/8)

→ n > (-16/40) + (15/40)

→ n > (-16 + 15)/40

→ [ n > (-1/40) ]

Hence, value of n is -1/40.

Given that the numbered disks are placed in a box, you need to find the probability of selecting an odd number, given that a green disk is selected.

Therefore, you need to use the Conditional Probability Formula:

In this case, let be "A" the event of selecting an odd number, and "B" the event of selecting a green disk.

You can identify that:

- There are a total of 8 disks.

- There are 4 green disks that have odd numbers.

- There are a total of 7 green disks.

Therefore, you can determine that:

And:

Then, you can substitute values into the formula and evaluate:

Hence, the answer is:

The inequalities are solved below

What are inequalities?

A connection in mathematics that compares two numbers or other mathematical functions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are employed. The following characteristics control inequalities. Any of these characteristics are also true if monotonic functions are restricted to strictly monotonic functions and all non-strict inequalities ( and ) are replaced by their equivalent strict inequalities ( and >). On each side of an inequality, a common constant c can be added to or removed from.

The inequalities are solved below

-2x-7>1                                   x-2≥-1

or, -2x>1+7                            or, x≥-1+2

or, -x>8/2                              or, x≥1

or, x<-4

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Answer:

1655.64 miles

Step-by-step explanation:

because 108 people times 15.33 miles for all the total people would be 1655.64 miles

Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A   3x + 1  (expression)

B  4x^2 2- 6 (unknow)

C) 5b (expeession)

D) 6y + 1z = 7x - 3w    (Equation)

Answer: The answer to the division problem is 21

Answer: I know 273 divided by 13 is 21 but without the model I don't know what else you need. sorry!

Step-by-step explanation: