The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 2 y ≥ –x2 + 5

The Functions F(x) = X2 2 And G(x) = X2 + 5 Are Shown On The Graph.Explain How To Modify The Graphs Of

Answers

Answer 1

Two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set can be identified by the fact that domain of quadratic functions is the real domain.

How to use rigid transformations

In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).

After a careful examination, we conclude that following two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.

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


Related Questions

how many students are involved in the school music program but not school sports

Answers

Answer:

45% of the school because some will sign up

What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20

Answers

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:

Ms. O'hara brought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'hara should receive?

A bag of cookies sells for $3.
A pie sells for $8.

Answers

Answer:

$6.00 (Six dollars)

Step-by-step explanation:

Two bags of cookies = $6 (2 x $3)

One pie = $8

$6 + $8 = $14

$20-$14 = $6

Ms. O'hara should receive $6 in change.

Which of the following is a linear function?
A. y=1 over x
B. y=x²
C. y=x
D. y=√x

Answers

Answer:

C

Step-by-step explanation:

Guys guys GUYS guys guYs HELPhelp helppp

Answers

Answer:

A is 3 x 3 = 9 so thats one multiple and the ones that have the same put in the middle

Step-by-step explanation:

Helppp mee plsssssss

Answers

Answer:

Option 3 (left object volume = right object volume)

For explanation:

The volume of a slanted cylinder is nothing but the same volume as the volume of the right circular cylinder of the same height

I hope my answer helps you.

A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence: a) How many square tiles are needed to make Pattern Number 7? [2 MARKS] b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS] c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS] !! PLEASE ANSWER ALL OF THE QUESTIONS !!

Answers

The patterns of tiles do not follow an arithmetic sequence or geometric sequence

When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern will always be odd

The square tiles needed to make Pattern Number 7?

From the question, we have the following pattern:

Pattern 1: 1 square and 8 circlesPattern 2: 4 squares and 12 circlesPattern 3: 9 squares and 16 circles

The number of square tiles is calculated using:

Tn= n²

So, we have:

T₇ = 7²

T₇ = 49

Hence, 49 square tiles are needed in pattern 7

The circular tiles needed to make Pattern Number 20

The number of circular tiles is calculated using:

Tn= 4n + 4

So, we have:

T₂₀= 4 * 20 + 4

T₂₀= 84

Hence, 84 circular tiles are needed in pattern 20

c) The conclusion on odd pattern number

Using the computations in (a) and (b), we have:

The total number of tiles in odd pattern number is always odd

Read more about pattern and sequence at:

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Help asap due in an hour

Answers

Answer:

7.    x-2y=-4      
     -x-y=-5


x-2x=-4
2x+2y=10

Step-by-step explanation:

sorry cant do the rest im sleeping now but use symbolab just add the equations there and easy good night

14
DEF is a dilation of ABC with center (0,0). What is the scale factor?
3
1/2
1/3
1/4

Answers

Answer:

that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.

Solve 5(x – 4) = 2(x + 5) for x.

Question 9 options:

x = 5


x = –10


x = 10


x = –5

Answers

Answer:

Step-by-step explanation:

the answer for 5(x – 4) = 2(x + 5)


is x=10

your welcome!

Answer:

x = 10

Step-by-step explanation:

5(x – 4) = 2(x + 5)               DISTRIBUTE

5x - 20 = 2x + 10                COMBINE LIKE TERMS

3x = 30                               ISOLATE X

x = 10                                  FINAL ANSWER

I hope this helps!

Please help with this and how to solve it.

Answers

Answer:

angle HMS = 62 degrees

x = 13 degrees

AT = 28

Step-by-step explanation:

angle SHM and angle HMS are both inside the triangle SMH.

We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.

Angle SHM = 28 (given)

Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)

Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)

x + 90 + 28 = 180

x = 62 ddegrees

HMS is 62 degrees

TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.

10x - 40 = 90

10x = 130

x = 13 degrees

AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other.  HT is congruent to AT while HM is congruent to AM.

So,

8x - 4 = 2x + 20

Subtraact 2 x from both sides

6x - 4 = 20

Add 4 to both sides

6x = 24

Divide 6 on both sides.

x = 4

Plug x back to AT.

AT = 2(4) + 20 = 28

A local maximum of the function f(x) occurs for which x-value?​

Answers

Answer:

-4

Step-by-step explanation:

This is according to my sense. please consider other answers as well

show how to use the unit circle to find tan60

Answers

[tex]\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)[/tex]

[tex]\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3[/tex]

tanA=y/x

This rule is enough

Now

y=sinAx=cosA

Here A=60°

tan60=sin60/cos60tan60=√3/2÷1/2tan60=√3

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer would be 6.2
Answer:   6.2

Work Shown:

[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]

The ratio of green cars to yellow cars in a car park is 89 : 61.

Rewrite this as an equivalent ratio of the form n :1.

Give any decimals in your answer to 2 d.p.

Answers

89:61 = 1.459016393442623:1

Hope this helps :)



A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?
90, 85, 86, 93, x

Answers

Answer:

she needs 96 in the fifth quiz

Which inequality is shown in this graph?
6
5
(-2, 2)
-5
5
(0, -2)

Answers

The inequality of the graph is a linear inequality

The inequality shown in the graph is y > -2x -2

How to determine the inequality?

The points on the graph are given as:

(x,y) = (-2,2) and (0,-2)

The slope (m) is calculatedusing:

m = (y2 - y1)/(x2 - x1)

This gives

m =(-2 - 2)/(0 + 2)

Evaluate

m = -2

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -2(x - 0) -2

y = -2x -2

The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality

The equation becomes

y > -2x -2

Hence, the inequality shown in the graph is y > -2x -2

Read more about inequality at:

https://brainly.com/question/11234618

first to answer correctly will be marked brainliest 40 points as well

Answers

Answer:

see explanation↓

Step-by-step explanation:

(a)

[tex](3x+2)-(x+5)=3x+2-x-5[/tex]

[tex](3x+2)-(x+5)=2x-3[/tex]

ANSWER: Linear binomial

(b)

[tex](3x+8)+(4x^{2}-x)=3x+8+4x^{2}-x[/tex]

[tex](3x+8)+(4x^{2}-x)=4x^{2} +2x+8[/tex]

ANSWER: Quadratic trinomial

(c)

[tex](x^{2}+7x)-(x^{2}+5)=x^{2}+7x-x^{2}-5[/tex]

[tex](x^2+7x)-(x^2+5)=7x-5[/tex]

ANSWER: Linear binomial

(d)

[tex](2x+8)+(3x^2-2)=2x+8+3x^2-2[/tex]

[tex](2x+8)+(3x^2-2)=3x^2+2x+6[/tex]

ANSWER: Quadratic trinomial

(e)

[tex](x^2+5x-2)+(8-5x)=x^2+5x-2+8-5x[/tex]

[tex](x^2+5x-2)+(8-5x)=x^2+6[/tex]

ANSWER: Quadratic binomial



What is the median of the data set represented by the dot plot?


Enter the answer in the box.

A number line with line with two dots above the number 10, one dot above the number 12, one dot above the number 13, one dot above the number 14, one dot above the number 15, one dot above the number 18, and two dots above the number 19.

Answers

Answer:

Median is 14

Step-by-step explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14

Answer:

14

Step-by-step explanation:

Step-1: Prepare a table that represents the number of dots above a specific number:

[tex]\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||[/tex]

Step-2: Put the values in ascending or descending upon your choice:

[tex]10, 10, 12, 13, 14, 15, 18, 19, 19[/tex]

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

[tex]\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}[/tex]

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

[tex]10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19[/tex]

The median of the dot plot is 14.

Which number is rational?
Ov2
M
O 10
O 16

Answers

O √2

O π

O √10

✔ O √16

rational numbers are decimals, whole numbers, fractions.

√16 = 4  || which is whole number

π and √a for non whole numbers fall under irrational numbers
Square root 16 because it simplifies to four.
Root 16
= root 4x root 4
= 2x2
= 4 which is a rational number because it’s whole

• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =


Answers

Step-by-step explanation:

3(7 + x) = 3×7 + 3x = 21 + 3x

remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).

The red figure is a dilated image of the blue figure. Which diagram shows the correct
center of dilation?

Answers

Dilating the blue figure to create the red figure ensures that both figures have different sizes

The correct center of dilation is (d)

How to determine the center of dilation?

The center of dilation influences the position of the image of the dilated figure.

For figure 1, the center of dilation would ensure that the red figure is to the left of the blue figureFor figure 2 and 3, the center of dilation would ensure that the red and the blue figure have the same vertexFor figure 4, the center of dilation would ensure that both triangles have the same center

The 4 diagrams show that both figures have the same center

Hence, the correct center of dilation is (d)

Read more about dilation at:

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Can someone solve this so that i can confirm that I’m doing it right?

Answers

Answer:

Below in bold.

Step-by-step explanation:

x /18 = 12/10

10x = 18*12

x = 216/ 10

= 21.6.

10/w = 18/24

10/w =  3/4

3w = 40

w = 40/3 =  13 33   to the neaest hundredth.

What is the value of the 9 3/4- 2 1/5 +1/2

Answers

Answer:

93 will the answer

Step-by-step explanation:

yes htey are good

Which object will have more inertia? Object A that has a mass of 250 grams, Object B, that has a mass of 25,000 grams, or Object C that has a mass of 1,250,000 grams.
1.object a
2.b
3.c
4.all have the same

Answers

Answer:

3.  Object C.

Step-by-step explanation:

The inertia of an object is the measure of the force required to set it in motion.  For two objects to have the same motion, the one with the greater mass will require a proportionately greater force to achieve the same motion.

Object C, with a mass of 1,250,000 grams (1,250 kg) will have the greatest inertia.

1 20 points Which statement describes an example of causation? When the wather becomes warmer, more meat is purchased at the supermarket. More people go to the mall when students go back to school. The greater the number of new television shows, the lesser the number of moviegoers. After operating costs are paid to a toy shop, as more toys are sold, more money is made.​

Answers

Answer:

after operating costs are paid to a toy shop, as more toys are sold, more money is made

Ashley arranged the following list of numbers below: 5,2,7,8,2,5,3. Find the mean and median.

Answers

Mean is the average of all numbers

(5+2+7+8+2+5+3)/7

Mean is 4.57

Median is the middle score so we have to arrange all the numbers from lowest to highest

2, 2, 3, 5, 5, 7, 8

Median is 5

People help me !!!!!!

Answers

Answer:

A

Step-by-step explanation:

Find Θ from the problem by using arcos. Find that Θ=64.158....

plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.

Paulina is driving 25 miles per hour. Which equation can be used to determine d, the distance Paulina traveled in miles after h hours?

Answers

Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is

d = 25*h

Speed, Distance and Time

Given Data

Speed = 25 miles per hoursDistance = d milesTime traveled = h ours

We know that the expression showing the relationship between speed, distance and time is given as

Speed = Distance/Time

Substituting our given data we have

25 = d/h

Making distance subject of formula we have

25*h = d

d = 25*h

Learn more about speed here:

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Select the correct answer.
A paper cup in the shape of a cone is used to get water from a water cooler. It has a height of 3 inches and a diameter of 22 inches
What is the lateral surface area of the paper cup to the nearest square Inch?
OA 15 square Inches
OB.
19 square Inches
ОС.
14 square Inches
OD. 18 square Inches

Answers

We will see that the lateral surface area of the cone is 14 square inches.

How to find the lateral surface area?

We know that for a cone of height H and radius R, the lateral surface of the cone is:

S = 3.14*R*H

In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:

R = (2 + 1/2) in = (1 + 1/4) in

Replacing that on the surface equation, we will get:

S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

it's 15

Step-by-step explanation:

guy above was close

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