Given: f(x)=x²+1 and f(g(x)) = 4x² + 4x +2. Find g(x).

Answers

Answer 1

Answer:

g(x)=2x+1

Step-by-step explanation:

(2x+1)^2+1=4x^2+4x+2


Related Questions

A team of researchers measured the length of 5 different rainbow trout pulled from different locations in a lake. length, in.: {18, 22, 15, 28, 17} what is the estimated mean absolute deviation of the lengths of rainbow trout in the lake? 1.3 in. 4 in. 20 in. 61 in.

Answers

4IN

Step-by-step explanation:

I took the test for k12 and got 100% hope it helps

Answer:

4 in

Step-by-step explanation:

18 + 22 + 15 + 28 + 17 = 100

100 / 5 = 20

So, the mean for the data set: 18, 22, 15, 28, 17 is 20.

18 - 20 = |2|

22 - 20 = |2|

15 - 20 = |5|

28 - 20 = |8|

17 - 20 = |3|

2 + 2 + 5 + 8 + 3 = 20

20 / 5 = 4

So, 4 in is the mean absolute deviation (MAD).

I also took the test.

find the measure of angle R
i need help asap!

Answers

Answer: 68 degrees

Step-by-step explanation:

It is common knowledge that a fair coin lands heads up 50% of the time and tails up 50% of the time. For fair coins, a probability of 0 is assigned to the coin landing on its edge. But what if several coins were glued together? A teacher claims that if 10 pennies were glued together and flipped many times, the penny stack would land on heads 25% of the time, tails 25% of the time, and on its edge 50% of the time. To investigate this claim, a student glues 10 pennies together and flips the stack 200 times. The student would like to know if there is convincing evidence that the distribution differs from what the teacher claimed. What are the appropriate hypotheses?

H0: The distribution of flips is 25% heads, 25% tails, and 50% edge.
Ha: The distribution of flips is not 25% heads, 25% tails, and 50% edge.
H0: The distribution of flips is not 25% heads, 25% tails, and 50% edge.
Ha: The distribution of flips is 25% heads, 25% tails, and 50% edge.
H0: The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
Ha: The penny stack will not land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
H0: The penny stack will not land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times.
Ha: The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 tim

Answers

Answer:

The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times

Step-by-step explanation:

25% of 200=50

50% of 200=100

So, the coin will land 50 times on heads, 50 times on tails and 100 times on edge

Answer:

It's A on EDGE

Step-by-step explanation:

What is the area of the following circle?

Answers

Answer:

78.5 or 78 1/2 units

Step-by-step explanation:

The formula for the area of a circle using diameter is 1/4*pi.*d to the second power. Plug it in, and you get 78.5 or 78 1/2 units.

#6 You want to find out what type of pet is most commonly adopted from the shelter. Over the course of a month, you randomly survey 40 people who have just adopted a pet. Of those 40 people, 23 adopted dogs. If about 4,500 people adopt pets each year, about how many can you predict will dogs?​

Answers

Answer:

we predict 2,587 persons will adopt dogs

Step-by-step explanation:

out of 40 persons 23 adopt dogs

Then

out of 40×25 persons 23×25 adopt dogs

Then

out of 1000 persons 575 adopt dogs

Then

out of 1000×4.5persons 575×4.5 adopt dogs

Then

out of 4,500 persons 2,587.5 adopt dogs  

Method 2 :

Let x Ben the number of persons we predict they will adopt dogs:

Here we have a proportional relationship:

Then

[tex]\frac{4500}{40} =\frac{x}{23}[/tex]

[tex]\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5[/tex]

Instructions: Find the measure of the indicated angle.

Answers

Answer:

x = 35

Step-by-step explanation:

As it is an isosceles triangle, two sides are equal (that's why we took two x)

2x = 180- 110

2x = 70

x = 70/2

x = 35

I hope my answer helps you.

The measure of the indicated angle is 35 degrees.

What is the angle sum property?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

We are given that;

Angle = 110degree

Now,

x+x+110=180

2x+110=180

2x=180-110

2x=70

x=70/2

x=35

Therefore, by the angle sum property of triangles the answer will be 35degree.

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find the circumference of the circle using 3.14 for pi

Answers

Answer:
34.54

Explanation:
The hint states C=pid
D= diameter=11
Pi=3.14
C = (3.14)(11)
BOOM MUTI-LY THE 2 NUMBERS AND YOU GET YOUR ANSWER 34.54


Hope it helps, Let me know if you have any other questions !
Have a nice rest of your day :)

Answer: 34.54


 Multiple 11 by 3.14 and you'll get 34.54
and if you need the radius just divide 11 by 2 and get 5.5
I hope this helps! :)

What is 1050 rounded to the nearest thousand?

Answers

Answer:

1100

Step-by-step explanation:

We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 304º.

Answers

Answer:

124°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7 ( heptagon has 7 sides ) , then

sum = 180° × 5 = 900°

let x be the final interior angle , then

776° + x = 900° ( subtract 776° from both sides )

x = 124°

Answer:

C. 124

Step-by-step explanation:

E2020

A city library just received a grant that it can use to increase its book collection. If it currently has 1.3 million books and the grant will increase the book collection by 2%, how many books will it have in its collection?​

Answers

Answer:

1,326,000 books

Step-by-step explanation:

2% of 1.3 million is 26,000

1,300,000 + 26,000 = 1,326,000

A 30% discount on a
computer is $90. What was the
cost of the computer before the
discount?

Answers

Answer: $300 is the cost before the discount

Step-by-step explanation:

Divide $90 by 30% which = $300.

10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).
What is the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0)?

Answers

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

How to find the equation of a line?

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

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What is the end behavior of f(x)=5x^3-2x+5

Answers

Answer:

A

Step-by-step explanation:

positive leading coefficient means increasing

If I get a 100 on one assingment and a 57 on the other, what is my average of the assignments?

Answers

Answer:

78.5

Step-by-step explanation:

Add the two scores, and then divide this sum by 2 to obtain the average score:

[tex] \frac{100 + 57}{2} = \frac{157}{2} = 78.5[/tex]

Answer:

78.5

Step-by-step explanation:

To calculate the average of the assignments, you must find the mean of the assignments.

Mean = sum of the items divided by the number of items

[tex]\frac{100+57}{2}[/tex]

[tex]=\frac{157}{2}[/tex]

[tex]=78.5[/tex]

Given m||n find the value of x (x+ 20) (4x-5)

Answers

Answer:

x² + 80x - 5

Step-by-step explanation:

x (x+ 20) (4x-5)x [tex]*[/tex] x = x² x [tex]*[/tex] 20 = 20xx² + 20x [tex]*[/tex] 4x - 5 20x [tex]*[/tex] 4x = 80xso in all = x² + 80x - 5

what is 10 = 0.860(7) + 3.302

Answers

Hey there!

0.860(17) + 3.302 = 10

= 0.86(17) + 3.302

= 14.62 + 3.302

= 17.922


Thus, your answer is: FALSE because

17.922 ≠ 10


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

this is false btw

Step-by-step explanation:

u should give e brainiest, pls

Find the AREA OF THE BASE of the
cylinder!
base is 10yd and height is 15yd

Answers

the base would be a circle so we use the formula, A=r^2(pi)
I assume that 10yards is the diameter of the base and so the radius in this question would
be 5 yards.
we plug in our numbers into the formula
A=5^2(pi)
A=25(pi)
and then into the calculator,
A= 78.54

This question has two parts. Use the figure to answer Part A and Part B.
Angle ABC is a right angle.
a
Part A
Which equation could be used to correctly solve for X?
А
O A. 2x = 56
O B. 2x+56 = 90
OC. 2x + 56 = 180
Part B
What is the value of x? Enter the answer in the box.
56°
(2x)
B
C
X=
* not drown to scale

Answers

Answer:

Pt 1) B

Pt 2) 17

Step-by-step explanation:

a right angle is 90 so 56 plus 2x should equal 90. Subtract 56 from 90 and get 34, because it's 2x you divide by 2 and get 17

A Type II error is committed if we make A. an incorrect decision when the null hypothesis is false B. a correct decision when the null hypothesis is false C. a correct decision when the null hypothesis is true D. an incorrect decision when the null hypothesis is true

Answers

Answer:  A. an incorrect decision when the null hypothesis is false

Explanation:

A type I error is when we reject the null, but the null was true.

A type II error is when we fail to reject the null, but the alternative was true.

Refer to the chart below to help organize things.

Find the surface area of the cylinder. Type an exact answer in terms of pi.

Answers

Answer:

=150.79644...cm²

~150cm²

Step-by-step explanation:

cylinder surface area = 2 pi r h + 2 pi r²

Answer:

24π cm²

Step-by-step explanation:

Radius (r) = 3 cm

Height (h) = 5 cm

Surface area of cylinder

= 2πr (h + r)

= 2 × π × 3 (5 + 3)

= π × 3 (8)

= π × 24

= 24π cm²

______

#Rosé

Hope it helps ⚜

what expressions are equvilent to 9x^{2} - 256

Answers

Answer:

(3x + 16)(3x - 16)

Step-by-step explanation:

[tex]9 {x}^{2} - 256 \\ \\ = {(3x)}^{2} - {(16)}^{2} \\ \\ = (3x + 16)(3x - 16)[/tex]

Judy simplified the expression (3x+1)(x-3) -( 2-2x^2-3x)

Answers

It's the 3rd optionnn

Which Is Most Likely To Weigh 4 Tons?
A A Watermelon
B A Man
C A Clothes Dryer
D A Helicopter
(30 points)

Answers

The most likely object to weigh 4 tons will be Helicopter

The correct option is (D) Helicopter

What is ton in kg?

1 ton = 1000 Kg

First, a watermelon weigh= 0.001 to 0.003  tons(i.e., 1-3 Kg)

then, A man weigh= 0.09 to 0.1 tons (i.e., 90 - 100kg)

A clothes dryer weigh= 0.07 to 0.09 tons (i.e., 70- 90 Kg)

lastly, a Helicopter weigh= 0.275- 56 tons (i.e., 275 - 56,000 Kg)

The closest is Helicopter weight 0.275- 56 tons

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Walt collected random samples of data on the number of people who eat at who
restaurants daily. He created two dot plots to represent his data. Find the degree of
overlap and the mean of the two data sets. Write a paragraph, using the RACE
format, explaining how you got the answer.

Answers

The mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

What is mean of data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

Walt collected random samples of data on the number of people who eat at who restaurants daily. He created two dot plots to represent his data.  

Restaurants A- 10,15,16,18,18,18,19,19,20,20Restaurants B- 10,13,15,15,15,16,17,18,19,20

Mean of Restaurants A is,

[tex]X_A=\dfrac{10+15+16+18+18+18+19+19+20+20}{10}\\X_A=\dfrac{173}{10}\\X_A=17.3[/tex]

Mean of Restaurants B is,

[tex]X_A=\dfrac{ 10+13+15+15+15+16+17+18+19+20}{10}\\X_A=\dfrac{158}{10}\\X_A=15.8[/tex]

Degree of overlap is the difference of both the means.

[tex]DO=X_A-X_B\\DO=1.5[/tex]

Thus, the mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

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The sum of two numbers is 21. The difference of the two numbers is 1. What are the two numbers?

Answers

Answer:

10 and 11

Step-by-step explanation:

10+11=21

11-10=1

1 apart, and they add to 21

Need help with this homework question

Answers

The question is not attach!

Which best describes word choice in an academic paper? it’s the internal structure, sequence of ideas, and unity of paragraphs. it’s the transitions that connect one body paragraph to another. it’s the rhythm and flow of the language, aided by sentence variation. it’s the use of precise, rich, and colorful language to convey ideas.

Answers

The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.

What is an academic paper?

An academic paper is a research work that aims at conveying ideas to a limited group of experts in a given field. As a result of that, the structure of the paper must be such that it could be recieved by a professional auidience.

The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.

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Answer: D

Step-by-step explanation: On EDG

if i have 50 carrots and x potatos how do i get 520 please help me i don't know the x

Answers

Answer:

470 potatoes or toes

Answer:

X= 470

Step-by-step explanation:

You Just subtract 520 - 50

Hope this helps ^o^

A student wrote the following equations:
3y + 6 = 2x
2y - 3x = 6
The lines represented by these equations are
(1) parallel
(2) the same line
(3) perpendicular
(4) intersecting, but not perpendicular

Answers

Using linear function concepts, it is found that the two lines can be classified as:

(4) intersecting, but not perpendicular.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope defines if the lines are parallel or perpendicular, as follows:

If they are parallel, they have the same slope.If they are perpendicular, the multiplication of the slopes is of -1.If the multiplication of -1, and the slopes are different, they are intersecting.

In this problem, the lines in slope-intercept formula are:

[tex]y = \frac{2}{3}x - 2 \rightarrow = m = \frac{2}{3}[/tex]

[tex]y = \frac{3}{2}x + 3 \rightarrow m = \frac{3}{2}[/tex]

Then:

[tex]\frac{2}{3} \times \frac{3}{2} = 1[/tex]

So they are intersecting and not perpendicular, which means that option 4 is correct.

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A cylinder with height,h, and radius,r, has a volume of 1200pi cubic units. What could be the dimensions of this cylinder?

Answers

Answer:

h = 12 units, r = 10 units

Step-by-step explanation:

[tex]v=\pi (10)^{2} (12)=\pi (100)(12)=1200\pi[/tex]

Hope this helps

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