The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter y as x^3. Do
not include "G(x) =" in your answer.

The Graphs Below Have The Same Shape. Complete The Equation Of The Bluegraph. Enter Exponents Using The

Answers

Answer 1

Answer:

The graphs below have the same shape. What is the equation of the blue graph? A. G(x) = (x + 3)^3 B. G(x) = x^3 + 3 C. G(x) = x^3 - 3 D. G(x) = (x - 3)^3

Answer 2

The blue graph is a horizontal shift to the left by 3 units of F(x) = x³.

G(x) = (x + 3)³.

What is translation?

In mathematics, translation is the process of moving an object from one position to another without changing its shape, size, or orientation.

It involves sliding the object in a particular direction by a certain distance.

We have,

From the graph, the blue graph is G(x) = (x + 3)³.

The function f(x) = (x + 3)³ is a transformation of the function f(x) = x³.

Specifically, it is a horizontal shift to the left by 3 units.

To see why,

Let's consider the effect of replacing x with x + 3 in the original function f(x) = x³.

f(x + 3) = (x + 3)³

Notice that f(x + 3) is equal to f(x) translated horizontally to the left by 3 units.

For example, when x = 0, we have:

f(0) = 0³ = 0

f(0 + 3) = 3³ = 27

So the point (0, 0) on the graph of f(x) = x³ is transformed to the point

(-3, 27) on the graph of f(x) = (x + 3)³.

Similarly, we can see that every point on the graph of f(x) = x³ is shifted horizontally to the left by 3 units to obtain the graph of f(x) = (x + 3)³.

Therefore,

The blue graph is G(x) = (x + 3)³.

Learn more about translation here:

https://brainly.com/question/12463306

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Related Questions

We are testing a new drug with potentially dangerous side effects to see if it is significantly better than the drug currently in use. If it is found to be more effective, it will be prescribed to millions of people.
1.
a. What does it mean in context to make a type I error in this situation?
b. What does it mean in context to make a type Il error in this situation?
c. Which error do you think is worse? Now we are testing to see whether taking a vitamin supplement each day has significant health benefits. There are no (known) harmful side effects of the supplement.
2.
a. What does it mean in context to make a type I error in this situation?
b. What does it mean in context to make a type Il error in this situation?
c. Which error do you think is worse? For a given situation, what should you do if you think that committing a type l error is much worse than committing a type Il error?
A. Increase the significance level.
B. Decrease the significance level.
C. Nothing, just be careful to take a good sample.

Answers

Answer:

1) a)  accepting the new drug is better based on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects

b) Accepting and using the current drug in use when it is not as effective as the new drug

c) Type 1 error

2) a) rejecting the vitamin supplement based on not knowing the harmful side effects

b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.

c) Type II error

3) Increase the significance level  ( A )

Step-by-step explanation:

1)

a) To make a type 1 error in this situation is accepting the new drug is better and prescribing it to the millions of people based only on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects

b) A type II error in context is :Accepting and using the current drug in use when it is not as effective as the new drug

c)  Type I error

2)

a) Type 1 error is rejecting the vitamin supplement based on not knowing the harmful side effects

b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.

c) Type II error

3) If committing a type 1 error is much worse

Increase the significance level

Help me pls
I put the picture in the attach file below
(Sorry i'm in secondary school but i have a problem with my settings)

Answers

Answer:

1,2,4,8

Step-by-step explanation:

1

2

1,2

4

4,1

4,2

4,2,1

8

8,1

8,2

8,2,1

8,4

8,4,1

8,4,2

8,4,2,1

An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?

Answers

Answer:

262.5 miles

Step-by-step explanation:

Correct me if I am wrong

The participants in a research study self-report their sleep quality levels by choosing the response option that best characterizes their average sleep quality per night from the following response options: 1 = extremely low sleep quality, 2 - very low sleep quality, 3 - low sleep quality, 4 = extremely high sleep quality. Which measurement scale is being used to classify sleep quality?

Answers

Answer:

This is a Categorical variable and the measurement scale is ordinal scale.

Step-by-step explanation:

The measurement scale that is being used to classify sleep is the ordinal measurement. In this question, the variable that is called sleep quality is a categorical variable. categorical variables are variables that have the data representing groups. sleep quality has been given this categorical order extremely low very low low and extreme high.

The ordinal scale is a scale that denotes order it has all variables in a specific order.

Question 4 of 10
Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Constant
O C. Increasing

Answers

The graph shown is decreasing.

The graph below represents the following system of inequalities.

Answers

Answer:

(2,3)

Step-by-step explanation:

Given the functions below, find f(x)+g(x)

CHECK MY ANSWERS PLEASE

Answers

The answer is (a)..........

Is a linear model or a quadratic model a better fit? Quadratic model graph quadratic model linear model

Answers

Linear model is a better fit due to my evidence of doing this answer

If JKL - PNM. then M = L and the sides NP and
KJ are proportional.
True
Or
False???

Answers

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

The answer is True because JKL and PNM are proportional. If they are proportional, JK is proportional to PN, NM is proportional to NM and JL is proportional to PM.

find the first 3 terms of the sequence below.​

Answers

Answer:

Step-by-step explanation:

1 - 8

2 - 14

3 - 22

Answer:

8,14,22

Step-by-step explanation:

Tn = n^2 +3n +4

n=1

    = 1^2 +3(1) +4

    = 1 +3+4

   = 8

n=2

    = 2^2 +3(2) +4

    = 4 +6+4

   = 14

n=3

    = 3^2 +3(3) +4

    = 9 +9+4

   = 22

Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square ([tex]A[/tex]), in square centimeters, is represented by the following function:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square ([tex]\frac{dA}{dt}[/tex]), in square centimeters per second:

[tex]\frac{dA}{dt} = 2\cdot l \cdot \frac{dl}{dt}[/tex]

[tex]\frac{dA}{dt} = 2\cdot \sqrt{A}\cdot \frac{dl}{dt}[/tex] (2)

Where [tex]\frac{dl}{dt}[/tex] is the rate of change of the side length, in centimeters per second.

If we know that [tex]A = 25\,cm^{2}[/tex] and [tex]\frac{dl}{dt} = 4\,\frac{cm}{s}[/tex], then the rate of change of the area of the square is:

[tex]\frac{dA}{dt} = 2\cdot \sqrt{25\,cm^{2}}\cdot \left(4\,\frac{cm}{s} \right)[/tex]

[tex]\frac{dA}{dt} = 40\,\frac{cm^{2}}{s}[/tex]

The area of the square is increasing at a rate of 40 square centimeters per second.

Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money?

Answers

Answer:

i hope you understand easily

mark me brainlist

Step-by-step explanation:

Negate this conditional statement. Please show proper work and an explanation. Those who attempt to just respond in order to get a lot of points shall be reported. Thank you.

Answers

Answer:

a AND ~c

Step-by-step explanation:

you can find the full explanation in wikipedia:

https://en.m.wikipedia.org/wiki/Material_conditional

under "Negated conditionals"

Please help ASAP !!! Thank you !

Answers

(1) =(a+b)(3c-d) =a(3c-d)+b(3c-d) =3ac-ad+3bc-bd

(2) =(a-b)(c+2d) =a(c+2d)-b(c+2d) =ac+2ad-bc-2bd

(3) =(a-b)(c-2d) =a(c-2d)-b(c-2d) =ac-2ad-bc+2bd

(4) =(2a+b)(c-3d) =2a(c-3d)+b(c-3d) =2ac-6ad+bc-3bd

Sketch the graph of y = 2(x – 2)2 and identify the axis of symmetry

Answers

Answer:

x = 2

Step-by-step explanation:

The minimum point of the curve is (2, 0). Hence, axis of symmetry is x = 2

convert the fraction 3/8 to a decimal WITHOUT the use of a calculator. Show your method clearly. SHOW ALL STEPS!

Answers

here you go it's too easy

Step-by-step explanation:

Explanation is in the attachment .

Hope it is helpful to you ❣️☪️❇️

The house-numbers on a certain street go from 1 to 88. The function B(n) models the type of the building whose number is n according to the following key:

(GRAPH ATTATCHED)

What number type is more appropriate for the domain of B?
A. Integer
B. Real Number

What's the appropriate domain?

Answers

Hello,

Answer A

[tex]dom (B(n)) =\{0,1,2,3\} =\{ z\ in \ \mathbb{Z} \ |\ 0 \leq z \leq 4\}[/tex]

In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

Answers

Answer:

B. 23

Step-by-step explanation:

BC = 32

CA = 44

To find the length of CD, apply the altitude of right triangle formula, (altitude-on-hypotenuse theorem) which is given as:

h = √(xy)

Where,

h = CB = 32

x = CA = 44

y = CD = ?

Plug in the values

32 = √(44 × CD)

Square both sides

32² = 44 × CD

1,024 = 44 × CD

Divide both sides by 44

1,024/44 = CD

CD = 23 units (nearest whole unit)

I NEED AN ANSWER ASAP
WILL GIVE BRAINLY THING

Answers

Answer:

1) C

2) D

3) A

4) B

hope it helps

What is the average rate of increase in enrollment
per
decade between 1950 and 2000?

Answers

Given:

The graph that represents the enrollment for college R between 1950 and 2000.

To find:

The average rate of increase in enrollment per decade between 1950 and 2000?

Solution:

The average rate of change of function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

So, the average rate of increase in enrollment per year between 1950 and 2000 is:

[tex]m=\dfrac{f(2000)-f(1950)}{2000-1950}[/tex]

[tex]m=\dfrac{7-4}{50}[/tex]

[tex]m=\dfrac{3}{50}[/tex]

[tex]m=0.06[/tex]

It is given average rate of increase in enrollment per year between 1950 and 2000 is 0.06.

We need to find the average rate of increase in enrollment per decade between 1950 and 2000, So, multiply the average rate of increase in enrollment per year by 10.

[tex]0.06\times 10=0.6[/tex]

Therefore, the average rate of increase in enrollment per decade between 1950 and 2000 is 0.6.

Solve the inequality 5x + 3 2 >48

Answers

Answer:

[tex]{ \tt{5x + 3 \geqslant 48}} \\ { \tt{5x \geqslant 45}} \\ { \tt{x \geqslant 9}}[/tex]

Answer:

x[tex]\geq[/tex]9

Step-by-step explanation:

5x+3[tex]\geq \\[/tex]48  /-3

5x[tex]\geq[/tex]45   //5

x[tex]\geq[/tex]9

I have sons but no daughter ,each of my sons has twice as many brothers as he has children . each of my sons has same no of children each of my grand children has many cousins as uncle. how many grand children do I have ?

Answers

Answer:

Step-by-step explanation:

keeping track of family relations can be difficult. If Edna marries your mother’s uncle Charlie, what should you call her? If your father’s cousin’s daughter just had a baby boy, how should you two be introduced? Who is your “great great aunt”, and how can you find your “first cousin twice removed”? Fortunately, a bit of mathematical logic can clarify who should be called what, and why – and even measure the degree of genetic similarity between different relatives.

Pls help this is rlly important!! You’ll get branliest bc this is hard and I’m stuck.

Answers

the median of restaurant b's cleanliness ratings is 2.

the median of restaurant b's food quality ratings is 4.

the median of restaurant b's service ratings is 3.

:))

A cyclist rides his bike at a speed of 6 miles per hour. What is this speed in miles per minute how many miles will the cyclist travel in 20 minutes? Do not round your answers.​

Answers

Answer:

1 mile per 10 minutes

Step-by-step explanation:

QUESTION 1
Express the following ratios as fractions.
4:6

Answers

The answer to this question is 4/6 because of the ratio changes to a division sign

Answer:

should just be 4/6 or 2/3 simplified lol

Step-by-step explanation:

ratios and fractions are very similar, just pronounced differently. 4:6 is read as "four to fix" while 4/6 is read as "four sixths". only difference is the punctuation

What is 30 percent as a fraction

Answers

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

[tex]30\% \: \: as \: fraction[/tex]

[tex] \frac{30}{100} [/tex][tex] \frac{10(3)}{10(10)} [/tex][tex] \frac{3}{10} [/tex]Hope it is helpful....

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

[tex] \frac{30}{100} [/tex][tex] \frac{10(3)}{10(10)} [/tex][tex] \frac{3}{10} [/tex]

- joonie

Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34. Give an approximate estimate of the standard deviation of the number of the points scored. Assume the points scored has a normal distribution.

Answers

Answer:

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34.

This means that there is 4 standard deviations within this interval. So

[tex]4s = 31.34 - 8.18[/tex]

[tex]4s = 23.16[/tex]

[tex]s = \frac{23.16}{4}[/tex]

[tex]s = 5.79[/tex]

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.

Suppose triangle ABC is reflected over the x-axis. If the distance between point A and A’ is 14, what is the distance between the x-axis and A’.

1. 7

2. -7

3. 3.5

4. There is not enough information given.

Answers

Given:

The triangle ABC is reflected over the x-axis.

The distance between point A and A’ is 14.

To find:

The distance between the x-axis and A’.

Solution:

If a figure is reflected across the x-axis then the corresponding parts are mirror image of each other about the x-axis.

It means the distance between A and x-axis is same as the distance between x-axis and A'.

The distance between point A and A’ is 14.

Let d be the distance between the x-axis and A’. Then,

[tex]d+d=14[/tex]

[tex]2d=14[/tex]

[tex]d=\dfrac{14}{2}[/tex]

[tex]d=7[/tex]

Therefore, the correct option is 1.

Will give brainliest answer

Answers

1...  > equivalent                                                                                                                 2...>equivalent                                                                                                                               3...>not equivalent                                                         mark if u want

5. Determine the total area of the figure below.
4 ft!
12 ft
10 ft
3 ft
9 ft

Answers

Area: 171ft^2

Explanation:
The triangles area is 24ft^2
The large rectangle is 120ft^2
The small rectangle is 27ft^2
24+120+27= 171ft^2
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