Which statement or inequalities describe the number line graph?

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

g(-1) = -1, g(2) + g(1) = 7

Step-by-step explanation:

Given: g(x) = x³ + x² - x - 2

g(-1) ==> x = -1

g(-1) = (-1)³ + (-1)² - (-1) - 2

g(-1) = -1 + 1 + 1 - 2

g(-1) = -1

g(2) ==> x = 2

g(2) = (2)³ + (2)² - (2) - 2

g(2) = 8 + 4 - 2 - 2

g(2) = 8

g(1) ==> x = 1

g(1) = (1)³ + (1)² - (1) - 2

g(1) = 1 + 1 - 1 - 2

g(1) = -1

g(2) + g(1) = 8 + (-1) = 7

Answer:

C

Step-by-step explanation:

(1/√y)^-1/5

= (1/sqrt(y))^(-1/5)

=sqrt(y)^(1/5)

=y^(1/10)

= (tenth root of y)

=C

:)

Answer:

Option B

Step-by-step explanation:

Options for the given question -

A. A histogram

B. A cumulative frequency table

C. A pie chart

D. A frequency polygon

Solution

Option B is correct

The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.

Answer:16 degree is the answer.

Since r and m are parallel:

10x-3=7x+45

3x=48

x=16

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

Answer:

hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

Answer:

0.5

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

calculator

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

Answer:

yes

Step-by-step explanation:

y = 4x + 4

24 = 4(5) + 4

24 = 20 + 4

24 = 24

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

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

Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

Answer: 120m

Step-by-step explanation:

Let the height of the building be represented by x.

Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:

= (2 × x) + 15

= 2x + 15

Since the tower is 255m tall, therefore,

2x + 15 = 255

2x = 255 - 15

2x = 240

x = 240/2

x = 120

The height of the building is 120m

Answer:

The number of courses they were currently enrolled in is a discrete random variable.

The time it took them to drive to campus is a continuous random variable.

Their heights is a continuous random variable.

Step-by-step explanation:

Random variables:

Random variables can be classified as continuous or discrete.

Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.

First, students were asked how many courses they were currently enrolled in.

Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.

Second, the commuter students were asked to estimate how long it took them to drive to campus.

Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.

And third, they were asked their heights.

Can also be decimal numbers, so continuous.

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

Answer:

It is C

Step-by-step explanation:

Trust me, i got it right

Answer:

C

Step-by-step explanation:

have a great rest of your day!! btw Ill view ur profile!! :)

Answer:

[tex]3e^{2} + 12e[/tex]

Step-by-step explanation:

[tex]3ee+3e4[/tex]

[tex]3ee+3 * 4e[/tex]

[tex]3e^{2} + 12e\\[/tex]

[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Answer:

p = 5(8)(6.88)

p = $275.20

Answer:

253.5 ft³

Step-by-step explanation:

Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height

Volume of a prism = base area × height

Volume of the pyramid

= [tex] \frac{1}{3} [/tex]× (6×6.5÷2) × 9

= [tex] \frac{1}{3} [/tex]× 19.5 × 9

= 58.5 ft³

Volume of the prism

= (6×6.5÷2) × 10

= 195 ft³

Volume of the solid

= 58.5 + 195

= 253.5 ft³

Answer:

A

Step-by-step explanation:

the base is 19.5 feet squared

(6 * 6.5 / 2)

multiplied by 10 gives you 195 feet cubed for the lower solid

19.5 * 9 / 3

gives you 58.5 feet cubed for the upper solid

just add both volumes together

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

Answer:

(32 ÷4) +8

Step-by-step explanation:

More than means it comes after

quotient of 32 and 4

32÷ 4

8 more than

(32 ÷4) +8

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

 6*5!3!                                     6*5!3!             6*3*2*1                   6

------------   which reduces to -------------  or  -------------------  or  ------------

   2!5!                                         2!5!              2*5*4*3*2*1          (2)*5*4  

                                                                  3

This final result simplifies further to ---------------

                                                                  20

Given:

The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

To find:

The distance between given points.

Solution:

Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

[tex]\text{Perpendicular}=y_2-y_1[/tex]

[tex]\text{Base}=x_2-x_1[/tex]

Using Pythagoras theorem,

[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Taking square root on both sides, we get

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]        [Distance is always positive]

Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³