Explain how to modify the graphs F(x) and g(x) to graph the solution to set the following system of inequalities. How can the solution set be identified? Y>x^2-1
Y<-x^2+4

Explain How To Modify The Graphs F(x) And G(x) To Graph The Solution To Set The Following System Of Inequalities.

Answers

Answer 1

The following rigid transformations are applied:

Reflection around the line y = -1.Translation 5 units in the +y direction.

The solution set is found by the fact that the domain of quadratic functions is the entire real domain.

How to apply rigid transformations to understand the differences between two given functions

According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.

In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:

Reflection around the line y = -1.Translation 5 units in the +y direction.

The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538


Related Questions

Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.

Which of the following is a true statement?

He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.

Answers

Answer:

He is incroredct because he should have multiplied the bases

Step-by-step explanation:

Answer:

A: He is incorrect because he multiplied the bases.

Step-by-step explanation:

The correct answer would have been: [tex]6^{9}[/tex]

Which expression should you simplify to find the 90% confidence interval,
given a sample of 65 people with a sample proportion of 0.42?
O A. 0.42
1.645-0.42
165
OB. 0.42 65
0.42(1–0.42
1.645
O c. 0.42 +1.645.
0.42(1-0.42)
65
O D. 0.42 +1.645.
V0.42(1–0.42)
65

Answers

Answer:

i think is would be D

hope that helps if not i can change it

Step-by-step explanation:

PART A
Mrs. Jackson is planning an outdoor barbeque. She will cook 2 ears of corn per person plus two extra. If 16 people plan to come, how many ears of corn will Mrs. Jackson cook?

Answers

Answer:

34

Step-by-step explanation:

2 x 16 + 2

_________

2 x 16 = 32

_________

32 + 2 = 34

Answer:

30 or 64

Step-by-step explanation:

30 Because... 2 corns for every one till they rech 15..

that's mean (2 x 15)

64 Because... 2 corns plus 2 extra if they rech 16....

that's mean (4x16)

Find the perimeter of the composite figure using pi

Answers

Answer:

  (3 +1.5π) ft ≈ 7.71 ft

Step-by-step explanation:

We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:

  P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference

  P = d(1 +π/2)

  P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π

The perimeter of the figure is about 7.71 feet.

__

In terms of pi, the perimeter is ...

  P = (3 +1.5π) ft

2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?

Answers

Answer:

$399.75

Step-by-step explanation:

6.5% of $6,150 =

= 0.065 × $6,150

= $399.75

Answer: $399.75

He had to pay $399.75

formula:  Tax = Tax Rate * Purchase Price

$6,150 * 6.5%$399.75

Lisa deposits $625 in an account that earns 4% interest
annually. How much money is in the account
compounded
after 3 years? (8.12D)

Answers

Answer:

$703.04

Step-by-step explanation:

The equation for this is 625 x [tex]1.04^{years\\}[/tex].

So using the formula 625 x [tex]1.04^{3}[/tex] = $703.04

Answer:

$703.04

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $625r = 4% = 0.04n = 1t = 3

Substituting given values into the formula:

[tex]\implies \sf A=625(1+\frac{0.04}{1})^{3}[/tex]

[tex]\implies \sf A=625(1.04)^{3}[/tex]

[tex]\implies \sf A=703.04[/tex]

The bakers at healthy bakery can make 320 bagels in 10 hours. How many bagels can they make in 15 hours? What was the rate per hour?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Unitary method ~

[tex]\qquad \sf  \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]

So, the rate per hour is 32 bagels ~

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = 480\: bagels[/tex]

So, they can prepare 480 bagels in 15 hours

Answer:

480 bagels

Step-by-step explanation:

320 bagels in 10 hours.

⇒ 320 bagels = 10 hours

Divide 10 both sides to find the rate per hour:

⇒ 320/10 bagels = 10/10 hours

32 bagels = 1 hours

Multiply 15 both sides to find the number of bagels in 15 hours

⇒ 32 bagels = 1 hours

⇒ 32 x 15 bagels = 1 x 15 hours

480 bagels = 15 hours

Find the reciprocal of 7/2 multiplied by 3/5​

Answers

6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

The radius of a semicircle is 17 millimeters. what is the semicircle's perimeter?

Answers

Answer:

87.407

Step-by-step explanation:

circumference = 2*pie*r

= 2*pie*17

=106.8/2

=53.4

53.4+(17*2)

=87.4

Answer:

Step-by-step explanation:

it 87.38

TRUST ME

In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.

Answers

Answer: sqrt(182)

Step-by-step explanation:

ΔEDF is congurent with ΔBDC

DE/EF = DB/BC

The length of the ED is √182.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

EF is parallel to BC.

This means,

ΔEDF is congurent with ΔBDC

So,

DE/EF = DB/BC

BC = 2ED

DB = 26

EF = 14

Now,

DE/EF = DB/BC

DE/14 = 26/2ED

2ED² = 14 x 26

ED² = 7 x 26

ED = √182

Thus,

The length of the ED is √182.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Solve for w : 5w squared - 5w = 0

Answers

Answer:

The answer is 1

Step-by-step explanation:

5w² – 5w = 0

Add 5w both side

5w² – 5w + 5w = 5w – 5w

5w² = 5w

Now, Divide both side by 5w we get,

5w²/5w = 5w/5w

w = 1

Thus, The value of w is 1

Answer:

w = 1

Step-by-step explanation:

Given :

5w² - 5w = 0

Bring 5w to the other side.

5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1

what is the surface area of the cylinder

Answers

Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:

Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10

Answers

Question 1
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps

Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :

Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);


Question 4

Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():

Tom has read 5/8 of the 360 pages in the book how many pages are left to read?

Answers

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

7
In a circle, which ratio is equivalent to t?
- One
er
O A. area of a circle to its circumference
OB. radius of a circle to its area
-67
Q
67
O C. diameter of a circle to its radius
OD, circumference of a circle to its
diameter

Answers

Answer:

D

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]

I believe it will be D

A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?

A. 24
B. 11
C. 6
D. 9

Answers

Answer:

D.

Step-by-step explanation:

volume(12) pls help fast

Answers

Answer:

G

Step-by-step explanation:

Volume of a triangular prism = area of the base x height

(where the "bases" are the triangles)

Area of a triangle = 1/2 x base x height

Given:

base = 3.1 cmheight = 4.8 cm

⇒ area of base of prism = 1/2 x 3.1 cm x 4.8 cm = 7.44 cm²

Given:

area of base = 7.44 cm²height of prism = 2.6 cm

Volume of the prism = 7.44 cm² x 2.6 cm = 19.344 cm³

NEED HELP!! THX! please answer part b, I already have part a.

Answers

Answer:

See below ~

Step-by-step explanation:

3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to it

The function can be written as :

aₙ₊₁ = 0.325aₙ + 15000

9. The growth of mold in Specimen A can be modeled by A(t) = The growth
of mold in Specimen B can be modeled by B(t)

a. Find (A - B)(t).
b. Explain what the function (A - B)(t) represents

Answers

The value of the difference of the functions is 3t^2/3

The difference in the growth of the specimen is 3t^2/3

Exponential functions

Expoenential functions are written in the form y= ab^x

Given the following expoenential functions

A(t) = 5/6t^2/3

B(t) = 1/3t^2/3

a) Determine the function (A-B(t)

(A-B)(t) = A(t) - B(t)

Substitute

(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3

b) This means that the difference in the growth of the specimen is 3t^2/3

Learn more on exponential function here: https://brainly.com/question/12940982

What is the area of this rectangle?

Answers

Answer:

39

Step-by-step explanation:

You find the area by multiplying the length times the height which is what I did 13 x 3 = 39

What is the solution for the following equation 2(y+3) squared

Answers

Answer:

2y² + 12y + 18

Step-by-step explanation:

2(y + 3)²

First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:

(a + b)²

(y + 3)²

y² + 2*y*3 + 3²

y² + 6y + 9

Dont forget the 2:

2(y² + 6y + 9) <== distribute and multiply

2y² + 12y + 18

Hope this helps!

how to simplify 8 + ( -6 ) + 4

Answers

Answer:

6

Step-by-step explanation:

[tex]8-6+4[/tex]

[tex]2+4\\6[/tex]

Dwayne is making a documentary about the formation of rocks. He started on Wednesday with
a certain amount of film footage and then added 3.75 hours. Then, on Friday he cut 0.28 hours
of footage. Over the weekend he cut another 1.3 hours of footage. On Monday he added 1.25
more hours of footage and finally on Tuesday got rid of another 2.7 hours of footage to have his
final film length. If Dwayne started on Wednesday with 6.8 hours of footage, what was the final
length of his documentary? Round your answer to the nearest tenth if necessary.

Answers

Let x = the amount of film he started with on Wednesday
x + 3.75 - 0.28 - 1.3 + 1.25 - 2.7
x = 6.8
6.8 + 3.75 - 0.28 - 1.3 + 1.25 - 2.7 = 7.25
Dwayne has 7.25 hours of footage.
Hope that helps

Here’s another geometry workbook question I need help with!

Answers

Answer: D

Step-by-step explanation:

what are the magnitude and direction of u+v+w ?

Answers

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

How to determine the magnitude and the direction of a resultant

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

Resultant

[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

Magnitude

[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex]   (2)

Direction

[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex]   (3)

Where [tex]\theta[/tex] is resultant angle, measured in degrees.

If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:

Resultant

[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]

[tex]\vec r = (-54.824, 18.531)[/tex]

Magnitude

[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]

[tex]\|\vec r\| \approx 57.871[/tex]

Direction

[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]

[tex]\theta \approx 198.676^{\circ}[/tex]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Help, question is in image. ​

Answers

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

Divide.
0.4) 29
Enter your answer as a decimal in the box.

Answers

Answer:

0.0138

Step-by-step explanation:

the division gives a value which is almost recurring hence we round off to get 0.0138

Answer:

72.5 (I did the math)

b) The perimeter of a squared field is 60 m. Find its area.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Perimeter of square is :

[tex]\qquad \sf  \dashrightarrow \:4 \times side \: length[/tex]

so, we can take side length as a, and solve for a ~

[tex]\qquad \sf  \dashrightarrow \:4a = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 60 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 15[/tex]

Now, since we know the side length. let's find Area of square :

[tex]\qquad \sf  \dashrightarrow \: {15}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 225 \: m {}^{2} [/tex]

Find x . Round your answer to the nearest tenth of a degree.

Answers

The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

Trigonometry identity

From the given right angles triangle, we have the following parameters;

<A + 48 + 90 = 180 (sum of angles in a triangle)

<A =180 - 138

<A = 42 degrees

Using the SOH CAH TOA identity

sin48 = b/26

b = 26sin48

b = 19.3

For the value of a

sin42 = a/26

a = 26sin42

a = 19.3

a =17.4

Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

What is the perimeter?

Answers

Answer:

30 m is the original, and 60 m would be expanded

Step-by-step explanation:

perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe

The perimeter is gonna be the suma of all the sides
Other Questions
I will mark brainiest Ethel is packing two suitcases for her vacation. Thefirst suitcase weighs 24 pounds. The total weight ofthe suitcases is 49 pounds. What is the weight of thesecond suitcase? En espaol, que es la coma? Si sabes lo respondes. A preschoolers friendships to be based on proximity. True or false? What makes a culture unique ? As a student how can you contribute to our society to addressed such an issue of "Segregation Of Waste" In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total I need help, I got all these questions wrong in the unit test and I want to get them correct for my final exam! A lawyer charges a $75 consultation fee and then $120 per hour thereafter.a). Identify the dependent and independent variable.b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.c). What is the relationship between C and t linear?d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.e). For every increase of 1 hour for t, what is the change in C?f). For an appointment with the lawyer, what is the fixed cost and variable cost? brainiest if right... HELP ME WHOEVER ANSWERS IS THE SMARTEST AND I WILL TELL EVEYONE ABT YOUPLEASE HELP ME I NEED HELP define science with help of diagrams in a certain urban area, the relationship between number of students, x in thousands, and the umber of schools, y , has an x-intercept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form The Andes are folded mountains that form the longest mountain range on Earth. How do folded mountains form? O A. Tectonic plates crash into each other . O B. Continental plates slip past each other. O C. Magma rises to Earth's surface. O D. A block of crust tilts between two faults. Easy math 2 questions Based on their endings, what theme do both stories share?"MemoryHoloChamber""Cooking Is MySuperpower"Theme of BothStoriesJane is excitedabout exploring herinterest in technology. just likeher great-great-great-grand uncleRyanJason believes hecon explore hisinterest in cooking and become aMaster Chef, justlike his Great AuntJosie?Modern jobsare different inmony woys fromjobs in the pastConfusing careeradvice from otherscan lead tomistakes.If you work hard.you can help yourfamily businesssucceedTrust your ownchoices, and youcan do workthat you loveKDO ? Solve for j show work8j-5+j=67 Help pls I need step by step what is the quotient of 1,224 divided by 9 Following is the probability distribution for age of a student at a certain public high school.X131415161718P(x) 0.09 0.22 0.24 0.28 0.15 0.02(a) Find the variance of the ages. Round the answer to at least four decimal places.The variance of the ages is