What is the range of this function?

Answer:

hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)

Step-by-step explanation:

1) A = P (1+ r/n) ^ nt

interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12

A = 10,000(1 + .04/12)^(3*12)

A = 10000(1.00333)^36

A = $11,272.71

========================

2) [tex]A = pe^{rt}[/tex]  

A = 15,000 [tex]e^{.06 t}[/tex]

18,000= 15,000 [tex]e^{.06 t}[/tex]

1.2= [tex]e^{.6 t}[/tex]

ln(1.2) = .06t (ln e)

.1823 / .06 = 3.03 years

Note: ln e = 1

==========================

[tex]3^{5x+1} = 27[/tex]

[tex]3^{5x+1} = 3^{3}[/tex]

thus: 5x+ 1 = 3

5x = 2

x = 2/5

==============================

f(x) = 5x - 12

y = 5x - 12

inverse

x = 5y - 12

5y = x + 12

y = 1/5 x + 12/5

=====================

fog(X) =

f(X) =6x+12

g(x) = x^2 + 3

fog(X) = 6(x^2 + 3)+12

           = 6x^2 + 18 + 12

            = 8x^2 + 30

Domain (- infinity, + infinity)

======================

vertex 3x^2 - 6x + 2

verted = [-b/2a, f(-b/2a)]

a=3 , b=-6 , c = 2

-b/2a = 6/6 = 1

f(-b/2a) = -1

vertex = (1,-1)

=======================

30x - .4x^2

-30/-.8 = 37.5

max rev =  30(37.5) - .4(37.5)^2 = $562.5

Answer:

32

Step-by-step explanation:

1-4

Answer:

1331/x =x²/1331

cros multiplying

x³=1331²

x=³√(1331²)

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

Answer:

c.92,598

Step-by-step explanation:

20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)

= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08

= 92597.7

= 92,598

Answer:

9

Step-by-step explanation:

At the y axis the number is 4

At the x axis the number is -5

So 4-(-5)=9

Answer:

120 student and 80 adult tickets

Step-by-step explanation:

8x + 10y = 1760

x + y = 200

Answer:

x= 5.458

Step-by-step explanation:

x+15.92 = 21.378

  - 15.92   - 15.92

x = 5.458

Helpful hint: You just have to use inverse opperation to solve these problems

So, basically the opposite of what it is.

Answer: 3

Step-by-step explanation:

Answer:

reflection

Step-by-step explanation:

The transformation is a reflection across the dashed line.

Answer: reflection

Answer:

B) reflection

Step-by-step explanation:

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection.

Answer:

[tex]r = \sqrt{ {2}^{2} + {2}^{2} - 3 } = 5 \\ {(x - 2)}^{2} + {(y - 2)}^{2} = 3[/tex]

9514 1404 393

Answer:

  (d)  101,376 square inches

Step-by-step explanation:

At $5.50 each, Larry can afford ...

  $485/($5.50/board) ≈ 88.2 boards

Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...

  (88)×(8 in)(144 in) = 101,376 in²

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

Answer:

a

Step-by-step explanation:

Answer:

Angle RST is nowhere to be found

Step-by-step explanation:

Help us help you. Please include enough information to answer your question.

Answer:

66

Step-by-step explanation:

You multiply the length and the width. 11 times 6 equals 66

Answer:

yes do have in an any job that occurred the an evrey one to know you.

Answer:

8 days

Step-by-step explanation:

no of men                                             no of days

4                                                                   6

3                                                                     let be x

there is indirect variation

4/3=6/x

since it is in indirect variation do the reciprocal of any one fraction among these two fractions

4/3=x/6

do cross multiplicatin

3*x=6*4

x=24/3

x=8

therefore it take 8 days to complete the same work by 3 men.

Answer:

The correct answer would be 3/8.

Step-by-step explanation:

There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .

The theoretical probability that it will land on green is 1.

It is the likeliness of happening an event. It is calculated by the following formula:

Probability=number of events/number of total events.

Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.

Learn more about probability at https://brainly.com/question/25870256

#SPJ2

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

Answer:

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.

Answer:

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..

Answer:

2/3

Step-by-step explanation:

Find two points

(0,-2) and (3,0)

Using the slope formula

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

   = (0- -2)/(3-0)

  = (0+2)/(3-0)

   = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

From the graph, we can see the line passes through the points (3,0) and (0,-2).

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].

The slope of the line that passes through these points is:

[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

I hope this is help full to you

[tex]3) \: \: \: 4(2y + z) - 3(3y + z) \\ \\ = 8y + 4z - 9y + 3z \\ \\ = - y + 7z[/tex]

[tex]4) \: \: \: \: x(4x - 2) - 3x(x + 1) \\ \\ = 4x {}^{2} - 2x - 3 {x}^{2} - 3x \\ \\ = {x}^{2} - 5x[/tex]

[tex]5) a> \: \: 3(2 + c) \\ \\ = 6 + 3c[/tex]

[tex]b> \: \: \: 2a(b - 4) \\ \\ = 2ab - 8a[/tex]

[tex]c> \: \: \: ab(b + c) \\ \\ = ab {}^{2} + abc[/tex]

Answer:

-1.4 1,0,-0.2 so this is the solution for this problem

Answer:

((90*3)+(40*6))/9

=(90+90+90+40+40+40+40+40+40)/9

=66.66

Step-by-step explanation:

A, higher than her sisters score

Step-by-step explanation:

Let's solve for a.

a+b+c=4

Step 1: Add -b to both sides.

a+b+c+−b=4+−b

a+c=−b+4

Step 2: Add -c to both sides.

a+c+−c=−b+4+−c

a=−b−c+4

Answer:

a=−b−c+4

(hope this helped plz mark brilliant)