The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 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 ≤ x^2 – 3
y > –x^2 + 2

The Functions F(x) = X^2 3 And G(x) = X^2 + 2 Are Shown On The Graph.Explain How To Modify The Graphs

Answers

Answer 1

The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.

Now for the point (0, 0). Then we have

0 ≤ 0² – 3

0 ≤ – 3

which is false

Then the region is opposite to the origin.

Similarly, we have

0 > 0² + 2

0 > 2

which is false

Then the region is opposite to the origin.

Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The graph is shown below.

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The Functions F(x) = X^2 3 And G(x) = X^2 + 2 Are Shown On The Graph.Explain How To Modify The Graphs

Related Questions

The graph below shows a linear function and an exponential function.
What is the minimum y-value after which the exponential function will always be greater than the linear function?
y = 1
y = 3
y = 4
y = 5

Answers

Answer:

4

Step-by-step explanation:

Figure b 32.5 12.5 30 figure a 13 12 5

Answers

What are you asking?

Mr. Lee has 61 pencils. He gave some pencils away. Now he has 33 pencils left. Which equation can be used to find how many pencils Mr. Lee gives away.

Answers

Answer:

61-33...

Step-by-step explanation:

If he gave away 61 from his 33 then its 61-33

You would have to subtract in order to find your answer so basically do 61-33 then what ever you get you do your answer plus 33

Which statement best describes the value of 18 ?
A. The value of 18 is between 2 and 2.5.
B. The value of 18 is between 2.5 and 3.
C. The value of 18 is between 3 and 3.5.
D. The value of 8 is between 3.5 and 4.

Answers

Answer:

B.  The value of [tex]\sqrt{8}[/tex] is between 2.5 and 3.

Step-by-step explanation:

The square root of 8 is 2.83

Round each fraction to help you estimate the solution for the following equation: (2 points) nine tenths minus eight tenths equals a 0 b one half c 1 d one and one half

Answers

Answer: 9/10-8/10=1/10

Step-by-step explanation: The answer is 1/110

Consider the quadratic function.

f(p) = p2 – 8p – 5

What are the values of the coefficients and the constant in the functio

Answers

The values of the coefficients and constant are 1, -8 and -5

Standard quadratic equation

The standard quadratic expression is given as:

y = ax^2 + bx + c

where a, b and c are the constant

Given the quadratic function f(p) = p2 – 8p – 5, on comparing:

a = 1

b = -8

c = -5

Hence the values of the coefficients and constant are 1, -8 and -5

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The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.

What is the P(cheese | wheat) ? Show all work to receive full credit.

Answers

Answer:

The number of times people got cheese and wheat is 1200

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

[tex]\sf \dfrac{12}{19}[/tex]

Step-by-step explanation:

To begin, add the column and row totals to the table (see attachment).

Let W = Wheat

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]

As the events W and C are not independent, we can use the formula:

[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]

Substituting the values into the formula:

[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]

Selina is picking strawberries. She is using 5 boxes to hold them all. Each box has a width of 6 in, a height of 3 in, and a length of 4 in. What is the total volume of all 5 boxes? Explain how to solve this problem.

Answers

The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.

What is the volume of a cuboid?

The volume of a cuboid is the product of its length, width, and height. It is represented as,

[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]

The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,

[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]

Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,

[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]

Hence, the total volume with Selina is 360 in³.

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an electrician completes 1/6 of a job in 2/3 hour. at this rate, how long does it take the electrician to complete the job?


PLEASE HELP!!!! IM GONNA GET IN TROUBLE

Answers

Answer:

4 hours.

Step-by-step explanation:

2/3 * 6

= 12/3

= 4 hours.

Answer:

4

Step-by-step explanation:

1/6 x 2/3(flip 1/6 to 6/1 so its easier to calculate; they mean the same thing)6/1 x 2/3 = 12/33 x 12 = 4

Hope this helps <3

try to stay out of trouble lol

Rebecca bought 6 boys' bicycles and 8 girls' bicycles. If it takes her 22 minutes to unpack and assemble each one, how long will it be before they are all assembled?​

Answers

Answer:

308 minutes or 5 hours and 8 minutes

Step-by-step explanation:

First, let's add the bicycles of both boys and girls together:

6 + 8 = 14

Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:

22 x 14 = 308

It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.

The sum of two numbers is 53 The larger number is 11 more than the smaller number. What are the numbers?

Answers

Answer:

21 and 32 are the numbers

Step-by-step explanation:

Let assume that the the two numbers are X and Y and that X is the large number.

According to the question,

X + Y = 53 .................. Equation 1

then,  X = 11 + Y........... Equation 2

Substitute equation 2 into equation 1.

[11 + Y] + Y = 53

11 + 2Y = 53

2Y = 53 - 11 = 42

2Y = 42

Y = 42 / 2 = 21,

Therefore, Y = 21 [Small number].

According to equation 1,

X +Y = 53

X + 21 = 53

X = 53 - 21 = 32.

Therefore, X = 32 [Big number]

Propane is stored in a cylindrical tank with a diameter of 15 inches and a height of 48 inches. Which equation could be used to determine the radius of a spherical tank with the same volume?

Answers

Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

[tex]r = \sqrt[3]{2025} [/tex]

which would be 12.65148998... in.

The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the
variable t to represent the temperature. Which expression should Yuri write?A: t > -3 B: t > 3 C: t < -3 D: t < 3

Answers

Answer:

answer a

Step-by-step explanation:

thats rlly the only one that makes sense to me, i really hope this will help <3

The expression that Yuri should write will be t < -3. Then the correct option is C.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The temperature on a winter day was less than –3 degrees Fahrenheit.

Yuri wants to write an inequality for the temperature on the winter day.

Yuri uses the variable t to represent the temperature.

The sign used for less than is " < ".

t < -3

The expression that Yuri should write will be t < -3.

Then the correct option is C.

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Are these ratios equivalent? 4:5 12:20

Answers

Answer:

No

Step-by-step explanation:

[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]

Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
ОО

Answers

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

The Correct choice is 4

If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.

11 is a quotient of a number y and 6

Answers

Answer:

y = 66

Step-by-step explanation:

"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11

To solve, multiply both sides by 6.

y = 66.

What is
5d- 1 = -11
Can I get a breakdown on the answer please

Answers

the answer to this question is d=-2

Answer: d=-2

Step-by-step explanation:

As we know the order of operations are

1) Parenthesis/Brackets

2) Exponents

3) Multiplication/Division

4) Addition/Subtraction

However, when you solve equations you must do the order of operations backwards

So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side

[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]

Now divide both sides by 5 to isolate d

[tex]5d=-10\\\frac{5d}{5} =\frac{-10}{5} \\d=-2[/tex]

100 POINTS BRSAINLIEST ASAP 2 MINUTES LEFT

Answers

Answer: 12

Step-by-step explanation:

[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]

[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]

[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]

[tex]\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}[/tex]

[tex]\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}[/tex]

Answer:

I'm sure It's 12

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

11, 12, 12, 12, 13, 13, 14, 14

11=1

12=3 is the most common element

13=2

14=2

What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction

Answers

The solution of the given quadratic equation are,

[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]

The equation to solve is given as

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

Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]

where,  a,b and c are constants.

Therefore, we add 5x-8 on both sides to get,

[tex]x^2+5x-8=0[/tex]

Here, a=1,b=5 and c=-8

The solution to the above equation is

What is the quadratic formula?

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]

Use the value of a,b,c in the quadratic formula and solve for x

[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]

Therefore, the solutions are

[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]

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Answer:

answer is b

Step-by-step explanation:

Complete the equivalent equation for –7x – 60 = x2 10x. (x )(x ) = 0 what are the solutions of –7x – 60 = x2 10x? x =

Answers

Answer:

(x + 5)(x + 12) = 0

What are the solutions?

x = -12 or -5

Step-by-step explanation:

Hope it helps! :D

Answer:

(x + 5)(x + 12) = 0

and

x = -12 or -5

Step-by-step explanation:

The wavelength of a sound wave in this room is 4. 13 m and the frequency is 75 Hz. What is the speed of the wave in the room?

if you double the frequency of the sound wave but keep the wavelength the same, determine the new speed of the wave.​

Answers

Answer:

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

the perimeter of a room is pm and height hm write the formula to calculate the area of four walls​

Answers

Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

Jane has two savings accounts, Account S and Account C. Both accounts are opened with an initial
deposit of $400 and an annual interest rate of 4.5%. No additional deposits are made, and no withdrawals
are made. Account S earns simple interest, and Account c earns interest compound annually. Which account will earn more interest after 10 years? How much more?

Answers

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The account which is earning compount interest will earn $41.19 more on interest.

What is simple interest?

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\text{Simple Interest}= \dfrac{P \times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest on account S which earns simple interest at rate of 4.5% can be written as,

[tex]\text{Interest in Account S}= \dfrac{P \times R \times T}{100} = \dfrac{\$400 \times 4.5 \times 10}{100} = $180[/tex]

The interest on accout C which earns compound interest at a rate of 4.5% can be written as,

[tex]\text{Interest in Account C}=P(1+r\%)^n - P\\[/tex]

[tex]\text{Interest in Account C}=\$400(1+4.5\%)^{10} - $400 = $221.19[/tex]

The difference in the amount earned by the two account will be,

[tex]\rm Difference = (Interest\ in\ Account\ C) -(Interest\ in\ Account\ S)[/tex]

                [tex]=\$221.19 - \$180\\\\=\$ 41.19[/tex]

Hence, the account which is earning compount interest will earn $41.19 more on interest.

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The quotient of (x5 – 3x3 – 3x2 – 10x 15) and (x2 – 5) is a polynomial. what is the quotient? x5 – 3x3 – 2x2 – 10x 10 x7 – 8x5 – 3x4 5x3 30x2 50x – 75 x3 2x – 3 x5 – 3x3 – 4x2 – 10x 20

Answers

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a  (x^5-3x -3 - 24x/(x²-5)) polynomial.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

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Answer: C

Step-by-step explanation:

PLease help me i will give brainliest

Answers

B is correct the devotion is only 2 compared to 4.

A is wrong because variate A has higher trees then variate B
C is wrong because deviation for A is 4 compared to 2 ( opposite of B)
D is wrong because 4th one is 10 for A and 13 for B. 10 is not greater than 13

PLEASE HELP!!!!!!!!!!!!!!!! what is the perimeter of the trapezoid?

Answers

It would be 39

The bottom left and top side if you add them then it would equal 29. Then to find the right side, you would find the height and square it, then find the weight from where the right side stops and square it, then you would add the two together and then you would have to do the square root

Look at △ABC and △DEF on this coordinate grid.



Which transformation shows that △ABC and △DEF are similar?

A
a dilation of △ABC with a scale factor of 2

B
a translation of △ABC 1 unit up and 3 units to the right

C
a dilation of △ABC with a scale factor of 12

D
a translation of △ABC 3 units up and 3 units to the right

Answers

Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

Explain how to graph the point (-4, 6)

Answers

Answer:

four spaces to the left, and 6 spaces up.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.

Answers

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

What is the frequency?

Frequency describes the number of waves that pass a fixed place in a given amount of time.

A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.

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Answer:

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Step-by-step explanation:

...................................................................

Answers

Answer:

b=2 and c=6

Step-by-step explanation:

According to the question,

a+b=c

Let b=2 and c =6 then, we get,

4+2=6

or, 6=6

proved

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