Find the the domain codomain and range of the graph

Answer:

y = 14 [tex](6)^{x}[/tex]

Step-by-step explanation:

For an exponential function of the form y = a[tex]b^{x}[/tex]

Use the given points to find a and b

Using (0, 14 ), then

14 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 14

y = 14[tex]b^{x}[/tex]

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = [tex]\sqrt[3]{216}[/tex] = 6 , thus

y = 14 × [tex]6^{x}[/tex] ← exponential function

Answer:

Rational

Step-by-step explanation:

A surd is an irrational number. An irrational number refers to any number that can not be written in the form a/b where a and b are integers.

Given √3600, which can be written as √36 × √100 = 6 ×10 = 60.

Hence √3600 is a rational number.

Answer: Length of RS = 13

Step-by-step explanation: Segment is a line connecting two points.

Length or Distance of a segment is the distance between these two points and is calculated as:

[tex]d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

For the line RS:

[tex]d=\sqrt{[1-(-4)]^{2}+[9-(-3)]^{2}}[/tex]

[tex]d=\sqrt{(1+4)^{2}+(9+3)^{2}}[/tex]

[tex]d=\sqrt{(5)^{2}+(12)^{2}}[/tex]

[tex]d=\sqrt{25+144}[/tex]

[tex]d=\sqrt{169}[/tex]

d = 13

The length of segment RS is 13 units.

Answer:

^ Answer is C

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

[tex]6x-3y=36\\\\-3y=36-6x\\\\y=\frac{36-6x}{-3} \\\\y=\frac{36}{-3}-\frac{6x}{-3}\\\\ y=-12 +2x \\ OR\\y=2x-12[/tex]

Answer:

-30x +20

Step-by-step explanation:

-5(6x-4)

Distribute

-5*6x -5*-4

-30x +20

Answer:

-30x + 20

Step-by-step explanation:

I think you need to expand the brackets

you will need to times -5 with 6x

then times -5 with -4

Answer:

Step-by-step explanation:

present value | $741.37 (US dollars)

Answer:

Step-by-step explanation:

let the rate of travel of bicycle=x m/h

rate of travel of motor scooter=2x+2

time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.

time taken by bicycle to travel 5 mi=5/x

as time is same

[tex]\frac{12}{2x+2}=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 \times 5+2=12 ~m/h[/tex]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

7)

a + 120 = 180

a = 60

b + 80 = 180

b = 100

8)

5c + 4c = 180

9c = 180

c = 20

9)

3d + d = 180

4d = 180

d = 45

Answer:

15.25 cm²

Step-by-step explanation:

Step 1: find the width of the rectangle, AE.

[tex] cos(60) = \frac{EA}{8} [/tex]

[tex] 8*0.5 = EA [/tex]

[tex] 4 = EA [/tex]

[tex] EA = 4 cm [/tex]

Step 2: Find the area of the rectangle

[tex] Area_{rectangle} = length * width = 8*4 = 32 cm^2 [/tex]

Step 3: Find the area of the sector.

Take π as 3.14

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 [/tex]

[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 [/tex]

Step 4: Find the area of the shaded region.

Area of shaded region = [tex] Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 [/tex]

Answer:

3

Step-by-step explanation:

[tex]3+11t-9u\\\\\rightarrow\boxed{t = 9; u = 11}\\\\3+11(9)-9(11)\\\\3+99-99\\\\102-99\\\\\boxed{3}[/tex]

Hope this helps.

Answer:

40

Step-by-step explanation:

94 + 125 - 17 / 5

Answer:

It would be 5.

Step-by-step explanation:

3 - 5 is -2, because it goes like this:

-5  -4  -3  -2  -1  0  1  2  3  4  5 (just count down)

Answer:

Step-by-step explanation:

We need to add the measurements together to get the answer.

___________________________________________________________

[tex]\frac{4}{5} + \frac{1}{4} + \frac{1}{4} + \frac{3}{5}[/tex]

___________________________________________________________

Since [tex]\frac{1}{4}[/tex] and

___________________________________________________________

[tex]\frac{3}{5} + \frac{4}{5}[/tex] = [tex]\frac{7}{5}[/tex] and [tex]\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}[/tex]

7/5 + 1/2 (we need to find a common denominator to add these)

14/10 + 5/10 = 19/10 or 1 9/10 hours

___________________________________________________________

Answer:

19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.

Step-by-step explanation:

jog = 4/5 hours

lifting = 1/4 hours

stretching = 1/4 hours

cycling = 3/5 hours

total hours for that week = 4/5 + 1/4 + 1/4 + 3/5 = 19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.

Answer:

2 < x < 3

Step-by-step explanation:

4x - 4 < 8    AND    9x + 5 > 23

4x < 12  AND   9x > 18

x < 3 AND x > 2 so the answer is 2 < x < 3.

  Solve  :    9x-28 = 0

Add  28  to both sides of the equation :

                     9x = 28

Divide both sides of the equation by 9:

                    x = 28/9 = 3.111

Answer:

Each team has 8 players. That means that the x players will be separated into x / 8 teams.

Hope this helps!

Step-by-step explanation:

According to rules of Proportionality :

[tex]a = k \frac{b}{ {c}^{2} } [/tex]

(A) When (a = 10, b = 8, c = 2)

K = 5

(B) When (b = 20, c = 5)

[tex]a = 5 \times \frac{20}{25} = 4[/tex]

Answer:

5041

Step-by-step explanation:

Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041

Answer:

Quadrant I

Step-by-step explanation:

Reflection is a type of solid transformation in which an object or a point is flipped with respect to a reference point or plane to produce its image. It changes the orientation of an object, but not its shape and size.

Reflecting the point X across x-axis produces an image in quadrant II. Now, reflecting it across the y-axis would fix its image now in quadrant I.

Therefore, reflecting point X across the x-axis and then y-axis would produce its image in quadrant I.

Answer:

[tex] \sqrt[5]{a^{3} b^{2}c}[/tex]

Step-by-step explanation:

Rationalization factor of [tex] \sqrt[5]{a^2 b^3 c^4} [/tex]

[tex] = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\

= \sqrt[5]{a^{3} b^{2}c^{1}}\\

= \sqrt[5]{a^{3} b^{2}c}\\ [/tex]

Answer:

x = 4

Step-by-step explanation:

8x – 13 = 3x + 7

add 13 to both sides

8x = 3x + 20

subract 3x from both sides

5x = 20

divide by 5 on both sides

x = 4  

1)Option B is the correct option.

231

2)Option A is the correct option.

6336

3)Option B is the correct option.

307 (not sure)

Answer:

r= square root of A /π

Step-by-step explanation:

to find the radius with the area

use the formula square root of area/pi

Answer:

18 quarters

Step-by-step explanation:

4.50/.25=18

Answer:

He has 18 quarters

Step-by-step explanation:

Each dollar is equivalent to 4 quarters, and max has $4. Therefore max has 16 quarters. Then you add the 50 cents, which is equivalent to 2 quarters. Now you add the 16to the 2 and you get 18. Max has 18 quarters.

Answer:

√29

Step-by-step explanation:

We have points (3,4) and (5,9), so the distance:

Answer: 2^6

Step-by-step explanation:

First, when we have:

x^n

this means that we are multiplicating x by itself n times.

Now, in this case we have:

6 factors of 2 would mean that we have:

(2)*(2)*(2)*(2)*(2)*(2)

2 multiplied by itself 6 times.

This is equal to:

(2)*(2)*(2)*(2)*(2)*(2) = 2^6

Answer:

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

[tex]Cylinder_{volume}[/tex] = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

[tex]Cylinder_{volume} = 3.14*2^2*4 = 50.24 in^3[/tex]

[tex]Sphere_{volume}[/tex] = ⁴/3πr³

Where,

π = 3.14

r = 2 in

[tex]Sphere_{volume} = \frac{4}{3}*3.14*2^3 = 33.49 in^2[/tex]

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

Answer:

A

Step-by-step explanation:

Answer:

The nth term for the given sequence can be written as:

[tex]a_n=6\,n+1[/tex]

Step-by-step explanation:

Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

Then, using the general expression for the nth term of an arithmetic sequence of first term "[tex]a_1[/tex]"  and common difference "d" we can write the nth term as:

[tex]a_n=a_1+(n-1)\,d[/tex]

which in this case translates as:

[tex]a_n=a_1+(n-1)\,d= 7\,+(n-1)\,6=7+6\,n-6=6\,n+1[/tex]

Answer:

Step-by-step explanation:

7,  13,  19,   25, .......

Arithmetic sequence.

First term = a = 7

Common difference = d = second term -  first term

            d = 13 - 7 = 6

nth term [tex]a_{n}=a+(n-1)d\\[/tex]

[tex]a_{n} = 7 +(n-1)*6\\\\\\a_{n}=7 + 6n - 6\\\\\\a_{n} = 1 + 6n[/tex]

Answer: a. y=5

b. RS = 37 ,  ST =16 and RT = 53 .

Step-by-step explanation:

Given: On number line we have,

RS = 7y + 2, ST = 2y +6, and RT = 13y - 12.

a. Since its on number line so we have

RT = RS+ ST

i.e. 13y - 12 = (7y + 2) + ( 2y +6)

⇒ 13y - 12 = 7y + 2 + 2y +6

⇒  13y-12 = 9y+8

⇒    13y-9y = 8+ 12   [Subtract 9y from both sides and add 12 in both sides]

⇒    4y = 20

⇒  y= 5  [Divide both sides by 4 ]

b. Now ,  RS = 7(5) + 2 = 35+2= 37,

ST = 2y +6 = 2 (5)+6 = 10+6 =16,

and RT = 13y - 12  = 13 (5)-12 = 65-12 = 53.

Hence, RS = 37 ,  ST =16 and RT = 53 .

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15