Use the following function to complete this question:
f(x)=(x-1)^3+5

Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below​

Answer:

Step-by-step explanation:

4 out of the 5 people are adults (since 2 women and 2 men) therefore 80% of people are adults.

Answer:

80%

Step-by-step explanation:

Its either too easy or too hard. 2+2=4 obviously, and 4/5=8/10. 8/10, 0.80, or 80% is the answer. If I got this right I don't know how lol.

The slope is 2.5

The y-intercept is 5.8.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = 5.8 + 2.5x

This is in the form of y = mx + c

So,

m = 2.5

And,

The y-intercept is when x = 0.

So,

y = 5.8 + 2.5x

Substitute x = 0,

y = 5.8

Thus,

Slope is 2.5

The y-intercept is 5.8.

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f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = [tex]\lim_{x\to1^-}[/tex] f((h - 1)) = [tex]\lim_{h \to 0}[/tex] (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = [tex]\lim_{x\to1^+}[/tex] f(h + 1) = [tex]\lim_{h \to 0}[/tex] (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

An equation of the circle that satisfies the given condition is (x+3))^2 + (y - 2)^2 = 73

The formula for finding the equation of a circle is expressed as:

(x-a)^2 + (y - b)^2 = r^2

Determine the value of r^2 using the distance between two points

r^2 = (-6-2)^2 + (-6+3)^2
r^2 = 64 + 9

r^2 = 73

Given the centre (a, b) as (-3, 2), the equatio of the circle will be;

(x-(-3))^2 + (y - 2)^2 = 73

(x+3))^2 + (y - 2)^2 = 73

Hence the equation of the circle is (x+3))^2 + (y - 2)^2 = 73

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A triangle has three sides, three angles, and three vertices (also known as corners).

A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.

Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.

The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.

In summary, a triangle is defined by its three sides, three angles, and three vertices.

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The probability that exactly 4 out of 7 seeds planted do not grow is 0.0007 (approximately), given that each seed has a 95% chance of growing into a healthy plant.

The probability that a seed doesn't grow is 1 - 0.95 = 0.05.

To calculate the probability that exactly 4 seeds don't grow out of 7, we need to use the binomial distribution formula, which is:

P(X=k) = C(n, k) * [tex]p^k[/tex] * [tex](1-p)^{(n-k)}[/tex]

where:

X is the random variable representing the number of seeds that don't grow.

k is the specific number of seeds that don't grow (in this case, k=4)

n is the total number of seeds planted (n = 7)

p is the probability that a seed doesn't grow (p=0.05)

C(n,k) is the number of ways to choose k items out of n, also known as the binomial coefficient.

Plugging in the values, we get:

P(X=4) = C(7,4) * 0.05⁴ * 0.95³

          = 35 * 0.00000625 * 0.857375

          = 0.0006522

Rounding to four decimal places, the probability that exactly 4 seeds don't grow is 0.0007 (approximately).

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The number of text messages all of the teenagers in the United States send each month is 17600 million.

In mathematics, an integer is a grouping comprising both positive and negative numbers. Integers are similar to whole numbers in that they do not include the fractional portion. Integers are thus numbers that can be positive, negative, or zero but not fractions. All mathematical operations, including addition, subtraction, multiplication, and division, can be carried out on integers.

Given that,

Number of teenagers = 22 million

Text sent on average = 800

Total messages sent = (22)(800) = 17600 million

Hence, the number of text messages all of the teenagers in the United States send each month is 17600 million.

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4. Reflexive property

5. SSS

Answer: 39%

Step-by-step explanation:

using calculator

1 seat = 0.058%
1700 - 1037 = 663 seats are taken.

0.058% x 663 seats = 39%

Answer:

21

Step-by-step explanation:

(-9)([tex]-\frac{7}{3}[/tex]) = 63/3 = 21

Answer: 1/2 is

Step-by-step explanation:

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

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If a line has two points with the same x-value, then the two points are on a vertical line.

So we know that we have some kind of a linear equation, such that in two points on the line we have the same x-value.

Then we can write these two points like (x₁, y₁) and (x₁, y₂). If the x-value is the same one, then we have a line of the form:

x = x₁

Which is a vertical line, then that is the correct answer.

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The answer to the question on the value of x in a triangle is x = 60 degrees.

The fact that all the angles are labeled as x means that this is an equilateral triangle which is a triangle where all the angles are equal.

Should this be the case, the value of x would be:

= Sum of interior angles of triangles / Number of sides in triangle

Sum of interior angles of triangles = 180 degrees

Number of sides = 3 sides

The value of x is:

= 180 / 3

= 60 degrees

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One way to manage your staff to manage complaints would be  to establish clear procedures for handling complaints and regularly train staff on these procedures.

Establishing clear procedures for handling complaints and training staff helps to ensure that all complaints are handled consistently and effectively, reducing the potential for misunderstandings or conflicts to arise.

Additionally, creating an open-door policy for staff to voice their concerns and providing regular opportunities for feedback can help to identify and address issues before they escalate into complaints. Regular communication and coaching can also help to build strong working relationships and foster a positive workplace culture, reducing the likelihood of complaints in the first place.

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In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:

{x | -8 <= x < 17}

Explanation of set builder notation?

A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | },  where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.

In this case,

the set comprises of all figures higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint

-8 <= x < 17,where x is a real value. This predicts that x must exceed or equal to -8 and must be less than 17 to be a part of the set.

Thus, in set builder form, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows:  {x | -8 <= x < 17}

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The  fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.

One inch is equivalent to 25.4 millimeters internationally.

Expressing this relationship as a formula is as follows.

1 inch = 25.4mm

This official, standardized measurement has been used in international records since 1959.

Both inches and millimeters are units of measurement. Inches belong to the British system of units, and millimeters belong to the metric system of units.

Inches are used in the United States, but it is often necessary to convert this unit of measurement to a metric unit of measurement, such as "millimeters." for scientific purposes. Conversely, there are 0.0393700787402 inches in millimeters. 

Thus , the  fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.

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Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

The tape diagram helped to understand by that we can subtract the combined $25 at the concession stand from the total and divide it by 5.

A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication. It is also known as a divided bar model, fraction strip, length model or strip diagram.

Given that, a family of 5 went to a matinee movie on a Saturday afternoon. The movie tickets for the matinee were a special price for each person. The family spent a combined $25 at the concession stand on drinks and popcorn. Altogether, the family spent $57.50 at the movies.

By using the tape diagram we get an equation,

5x+25 = 57.50

5x = 32.5

x = 6.5

Therefore, the special price for each person was $6.5

The figure is attached

Hence, the tape diagram helped to understand by that we can subtract the combined $25 at the concession stand from the total and divide it by 5.

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The value of the network density is 0.9

Since the potential connections (PC) formula is n(n-1)/2 and number of nodes is 5 (i.e. n = 5). We have:

PC = n(n-1)/2

PC = 5(5-1)/2

PC = (5*4)/2

PC = 20/2

PC = 10

Actual connection (AC) = 9

Network Density = AC/PC

Network Density = 9/10

Network Density = 0.9

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The magnitude of the vector is 25.5 metres.

The magnitude of a vector is the length of the vector. Therefore, the magnitude of a vector can be found using Pythagoras's theorem as follows:

Hence,

c² = a² + b²

where

Therefore,

| N | = √22.2² + 12.6²

| N | =  √492.84 + 158.76

| N | =  √651.6

| N | = 25.5264568634

| N | = 25.5 metres

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Answer:

Step-by-step explanation:

The probability that someone could guess the correct code for the car model with a keypad of 5 numbers is 1 in 120,000, or approximately 0.0000083.

To calculate this, we need to determine the total number of possible combinations of 5 numbers (without repetition) from a set of 5 numbers. This can be calculated as 5!/(5-5)! = 5! = 5x4x3x2x1 = 120.

So, the probability of guessing the correct code is 1/120 or 0.0000083. This means that the chances of guessing the correct code are very low and the car's security system is fairly secure.

1. the number ( of people without college degree ) = 125 - (24 +38)= 63

2. number of people without experience ) = 125- ( 41+38) = 46

3. number ( of applicants with college degree but no experience) = 24

4. n( of applicants with either college degree or experience) = 24+41 + 38 = 103

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

number of people that have previous work experience only) = 79-38 = 41

number ( of persons that have college degree only) = 62- 38 = 24

1. the n( of people without college degree ) = 125 - (24 +38)= 63

2. n( of people without experience ) = 125- ( 41+38) = 46

3. n( of applicants with college degree but no experience) = 24

4. n( of applicants with either college degree or experience) = 24+41 + 38 = 103

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The initial value of the function is 1.

What is a function?

A function in mathematics from a set X to a set Y assigns 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. Initially, functions represented the idealized relationship between two varying quantities.

A relationship in which one input value exactly equals one output value is known as a function. A function's initial value is a crucial component. A starting value or starting point is exactly what it sounds like: It is an initial value.

The line intersects the y-axis at (0,1).

The initial value of the function is 1.

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This is a word problem and the value of the unknown number is equal to 25

Word problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.

Let us represent the unknown number with the letter x so that we derive the equation;

1 + 6x = 151

we subtract 1 from both sides of the equation

1 - 1 + 6x = 151 - 1

6x = 150

divide through by the coefficient of x which is 6

6x/6 = 150/6

x = 25

Therefore, the value of the unknown number for the word problem is equal to 25

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The solution is Option D.

The skate park should be build as the percentage of votes was 57.6 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage of votes be represented as A

Now , the skate park will be built if the percentage of votes is greater than 50 %

Now , the total number of voters = 125 voters

The number of voters who responded to building the park = 72 voters

Substituting the values in the equation , we get

A = ( number of voters who responded to building the park / total number of voters ) x 100

On simplifying the equation , we get

A = ( 72 / 125 ) x 100

A = 0.576 x 100

A = 57.6 %

And , A > 50 %

Therefore , they should plan for the skate park because the sample had about 57.6% people vote yes

Hence , the percentage of votes is 57.6 %

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Answer:

a -3.9

Step-by-step explanation:

Subtract 13 from both sides which makes it -19 > 5x. then divide by 5 on both sides

The congruence theorem that justifies the congruence of the two triangles is given as follows:

A. SSS.

The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.

In this problem, we have that:

Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.

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