What key features do the functions f(x) = 3x and g of x equals the square root of the x minus 3 end root have in common?

1-Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
2- Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
3- Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions have a y-intercept in common.
4- Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions increase over the interval (–3, 0).

Answers

Answer 1

Functions can be represented using equations and graphs

The key features are (1) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.

How to determine the key features

The functions are given as:

[tex]f(x) = 3^x[/tex]

[tex]g(x) = \sqrt{ x - 3}[/tex]

Using a graphing calculator:

The domain of g(x) is [tex][3,\infty)[/tex]The range of g(x) is [tex][0,\infty)[/tex]The domain of f(x) is [tex](-\infty,\infty)[/tex]The range of f(x) is [tex](0,\infty)[/tex]Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (1)

Read more about function domain and range at:

https://brainly.com/question/10197594


Related Questions

1234567890987654321123456789

Answers

Answer:

1234567890987654321123456789 is the answer

Step-by-step explanation:

and also hey

Add: 6/10+7/100=____

Answers

Answer:

670/1000 un simplified, 67/100 simplified

how to find x in a parallelogram?

Answers

Answer:

Step-by-step explanation:

the shape is a parallelogram => angle E = angle G & angle F= angle D;

=> 11x-2=132

11x=134

x=12,(18)degree

Dave bought a golf club priced at $261.Shipping and handling cost an additional 15% of the price.What was the total cost of the golf club,including shipping and handling?

Answers

Answer:

$300.15

Step-by-step explanation:

The price of the golf club is 100% of its price.

The shipping and handling add 15% of the price.

That means he will pay a total of 115% of the price of the golf club.

115 of $261 = 1.15 × $261 = $300.15

Answer: $300.15

Kathleen and christine compared thier results on their results. Kathleen had 50 correct and christine had 60 correct answers. There were 42 words they both had correct and 6 they both had wrong. How many words were there on the spelling test.

Answers

Answer:

48

Step-by-step explanation:

42 + 6 = 48 total words

Answer:

74

Step-by-step explanation:

42+6+(50-42)+(60-42)

Find the perimeter and area of this triangle below.

Area: Perimeter:

Answers

Answer:

area = 79.1cm²

perimeter = 41cm

Answer:

Area of triangle=b*h*1/2

Area of triangle having-

Base- 14cm

Height/Altitude-11.3cm

Area= 14*11.3*1/2

=158.2/2

=79.1cm square

Perimeter of Triangle= side+side+side

=15+14+12

=29+12

=41cm

Step-by-step explanation:

-

Please help, Is this right? I’ll mark as brainliest

Answers

Yes, I believe so! If not I believe it would be (-2,2)

50 Points
Show your steps of the conversion of the decimal numbers write in your own steps.

1. 3



2. 8



3. 15



4. 18



5. 33



6. 49



7. 64


8. 108


9. 251

Answers

[tex]\\ \tt\longrightarrow 3=\dfrac{3}{10}=0.3[/tex]

[tex]\\ \tt\longrightarrow 8=\dfrac{8}{10}=0.8[/tex]

[tex]\\ \tt\longrightarrow 15=\dfrac{15}{100}=0.15[/tex]

[tex]\\ \tt\longrightarrow \dfrac{18}{10}=1.8[/tex]

[tex]\\ \tt\longrightarrow 33=\dfrac{33}{100}=0.33[/tex]

[tex]\\ \tt\longrightarrow 49=\dfrac{49}{100}=0.49[/tex]

[tex]\\ \tt\longrightarrow 64=\dfrac{64}{100}=0.64[/tex]

[tex]\\ \tt\longrightarrow 108=\dfrac{108}{100}=1.08=1.1[/tex]

[tex]\\ \tt\longrightarrow 251=\dfrac{251}{1000}=0.251[/tex]

I tried so many things to solve this. What do I do?

Answers

Answer:

x=67 degrees

Step-by-step explanation:

2x + 46 = 180

2x = 134

x = 67

5. What is the distance from V to W? V=8 cm W 15 cm m<VW= 90​

Answers

Answer:

17 cm

Step-by-step explanation:

If the angle between V and W is 90°, then this implies that V and W are legs of a right triangle (and the distance between them is the hypotenuse).

Use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle.

Let D = distance between V and W:

⇒ V² + W² = D²

⇒ 8² + 15² = D²

⇒ 289 = D²

⇒ D = √289

⇒ D = 17

Therefore, the distance from V to W is 17 cm

[tex]\huge \boxed{\sf 17\ cm}[/tex]

Pythagoras discovered that the square of the hypotenuse of a right-angled triangle, where one of the angles is 90 degrees, equals the sum of the squares of the other two sides.

[tex]\sf a^2 + b^2=c^2\\\\8^2 + 15^2=c^2\\\\ \sqrt{8^2 + 15^2} =c\\\\17=c[/tex]

Will anyone please help me with this

Answers

here a=1(coefficient of x^2)
b=-2(coef of x)
c=-8
delta =b^2-4ac

(x+2)(x-4)

True or false: If you apply a scale factor of 3 to the sides of a rectangle, then the area is 3 times larger.

Answers

Answer:

False, the area will be 9 times larger

Step-by-step explanation:

You are adding 3 to each dimension, and that extra 3 becomes 3 x 3 when finding area

What is the measure of angle y in this figure?

Enter your answer in the box.

y=__

Answers

Answer:

163°

Step-by-step explanation:

Since those 2 arrows are straight lines that go through each other, angles that are opposite are the same. So the opposite of y is 163°.

Calculate the difference between the 10th term and 50th term of the sequence 9,14,19,24, ... ...

Answers

Answer:

Step-by-step explanation:

Number series : 9, 14, 19, 24

First term = a1 = 9

common difference = a2 - a1 = 14 - 9=5

Find the nth term:

an = a1 + + (n - 1)d

an = 9+ (n - 1)(5)

an = 9+5n - 5

an = 4 + 5n

Find the 10th term:

an = 4 + 5n

a10 = 4 + 5(10)

a10 = 4 + 50

a10 = 54

Find the 50th term:

an = 4 + 5n

a50 = 4 + 5(50)

a50 = 254

Find the difference between the 10th and

50th term:

Difference = 254 - 54 = 200

Answer: The difference is 200

Given the data from the question, the difference between the 10th term and the 50th term is 200

What is an arithmetic sequence?

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth terma is the first term n is the number of termsd is the common difference

How to determine the 10th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 1010th term (T₁₀) =?

Tₙ = a + (n – 1)d

T₁₀ = 9 + (10 – 1)5

T₁₀ = 9 + (9)5

T₁₀ = 9 + 45

T₁₀ = 54

How to determine the 50th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 5050th term (T₅₀) =?

Tₙ = a + (n – 1)d

T₅₀ = 9 + (50 – 1)5

T₅₀ = 9 + (49)5

T₅₀ = 9 + 245

T₅₀ = 254

How to determine the difference 50th term (T₅₀) = 25410th term (T₁₀) = 54Difference =?

Difference = T₅₀ – T₁₀

Difference = 254 – 54

Difference = 200

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

Ms. Bales wants to purchase tickets to see Adele in Nashville for $50 from a company that charges a one time fee of $4.75 for using the service. She is on a budget, so her purchase cannot exceed $200. Enter an inequality to determine the number of tickets, t, Ms. Bales can purchase

Answers

Answer:

50x + 4.75 ≤ 200

Step-by-step explanation:

Let x = number of Adele tickets

Cost of 1 Adele ticket = $50

One-time service fee = $4.75

Therefore, 50x + 4.75 ≤ 200

Please help with solution needed!!

Answers

Step-by-step explanation:

you know how to multiply two expressions ?

every term of every expression is multiplied with every term of the other expression and the results are added (while considering any specific signs, if course).

(2x² + 3)(2x² - 3) = 2x²×2x² + -3×2x² + 3×2x² + 3×-3 =

4x² - 6x² + 6x² - 9 = 4x² - 9

and that is exactly the right side of the original equation.

so, it is correct.

solve the inequality 5(2h+8)+60

Answers

Answer:

h=10

Step-by-step explanation:

5(2h+8)+60

5 × 2h = 10h

5× 8 = 40

10h + 40 + 60

40 + 60 = 100

10h = 100

100/10h

h=10

I need help ls thank you!!!!!

Answers

Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:

a)what will be the chord of ab?
b)what wil be the chord of cd?​

Answers

Answer:

a) 16 cmb) 12 cm

Step-by-step explanation:

Connect the center with A and C:

OA = 10 cm or OC = 10 cm

Use Pythagorean to find half of AB:

[tex]AB/2=\sqrt{10^2-6^2} =\sqrt{64} =8[/tex][tex]AB = 16[/tex]

Similarly, find the length of CD:

[tex]CD/2=\sqrt{10^2-8^2} =\sqrt{36} =6[/tex][tex]CD=12[/tex]

Length of AB = 16 cm

h² = p² + b²

10² = 6² + b²

100 = 36 + b²

[tex]b = \sqrt{64} [/tex]

[tex]= 8 cm[/tex]

[tex]AB = 8 + 8[/tex]

[tex]= 16 cm[/tex]

a) Write down all the factors of 120.

Answers

1 2 3 4 6 8 10 12 15 20 24 30 40 60 and 120

Answer:

Factors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

Prime Factors:

2, 3,and 5

Step-by-step explanation:

Factors are: numbers that can be multiplied together to get a certain number

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

Identify the transformations of the graph

Answers

Answer:

Ans is D

Step-by-step explanation:

How many triangles can be formed with segments measuring 4.72 yd, 6.31 yd, and 1.67 yd?

none

one

more than one

Answers

Answer: Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8. Notice the angle is not between the given sides.

Step-by-step explanation:

3/5 x 1/3 Show your work as well

Answers

Answer:

1/5 to simplest terms

Step-by-step explanation:

[tex]\frac{3}{5}[/tex]×[tex]\frac{1}{3}[/tex]
To do this you simply multiply the numerators and you multiply the denominators:
3×1=3 (numerator)
5×3=15 (denominator)
[tex]\frac{3}{15}[/tex] = 1/5
To do the last step of making 3/15 to 1/5 I divided top and bottom by 3, that is how you simplify a fraction

1. Find the area.
7in
5in
3in

Answers

First we need to find the length of the missing triangle side which we can do with Pythagorean theorem
A2+B2=C2
5^2+3^2= x^2
25+9=x^2
34=x^2
You square booth sides and end up with a decimal of 5.831 rounded for the missing side.
Area for a rectangle is length times width so we multiply 7x5.831=40.817
Area of a triangle is the height times the base divided by 2 so 5.831x3= 17.493
Then you add those to together for the total area of the shape 40.817+17.493=58.31
58.31 is your approximate answer.

Please help me...................

Answers

Answer:

[tex]y = \frac{4}{3}x + 2[/tex]

Step-by-step explanation:

Find the equation for the line in slope-intercept form: [tex]y = mx + b[/tex]

where m is the slope (gradient) and b is the y-intercept.

To find the slope (m)

Choose 2 points on the line:  (0, 2) and (6, 10)

Let (0, 2) = [tex](x_1,y_1)[/tex]

Let (6, 10) = [tex](x_2,y_2)[/tex]

Use the slope formula:  [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{10-2}{6-0} =\frac{4}{3}[/tex]

Therefore, [tex]y = \frac{4}{3}x + b[/tex]

To find the y-intercept

The y-intercept is when x = 0 (where the line intersects the x-axis).

By inspection, the line intersects the y-axis at y = 2.  

Therefore, y-intercept = 2

So, [tex]y = \frac{4}{3}x + 2[/tex]

What is the average distance from the mean, using this data? 10, 8, 5, 12, 20

Answers

Hey there!

• When you hear the word “mean” in mathematics it usually defined as “average”.

• To find it you have to ADD all of the numbers DIVIDE all of the numbers you have in the given data plot.

YOUR EQUATION:

10 + 8 + 5 + 12 + 20 / 5

= 18 + 5 + 12 + 20 / 5

= 23 + 12 + 20 / 5

= 35 + 20 / 5

= 55 / 5

= 11


Therefore, your answer is: 11


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

solve the following please!
with steps

Answers

Answer:

X=-7

Step-by-step explanation:

X*5-4=3(X*3+8)

5x-4=9x+24

-4=4x+24

-28=4x

-7=x

2x^2-19x+9=0 does anyone know the answer

Answers

Answer:

x=1/2,x=9

Step-by-step explanation:

[tex]2x^{2} -19+9=0\\\\2x^{2} -18x-x+9=0\\\\2x(x-9)-1(x-9)=0\\\\(2x-1)(x-9)=0[/tex]

2x-1=0......I

x-9=0.......II

Solving I

2x-1=0

2x=1

x=1/2

Solving II

x-9=0

x=9

can someone please teach me how to do percentage ​

Answers

Answer:

value/total value • 100 = percentage

Step-by-step explanation:

if 5 out 100 kids have red backpacks then 5% of kids have red backpacks

5/100 • 100 = percentage

0.05 • 100 = percentage

5% = percentage

if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires

13/41 • 100 = percentage

0.31707317073... • 100 = 31.707317073... %

depending on your precision, you may include as many decimal places as you like, unless the question specifies it.  For our example, we will round to 2 decimal places.

31.707317073... % = 31.71%

if you're looking to find percentages for probability, you will use the same equation.

the odds of flipping a coin and it landing on heads are 50%

possibilities:

Heads, Tails

there is one outcome where our result occurs out of the two possible outcomes

1/2 • 100 = percentage

0.5 • 100 = percentage

50% = percentage

Hope this helps and wasn't confusing

please help me with angle sum theorem

Answers

Answer:

y = 90

Step-by-step explanation:

Y is a right angle, and if we check, 90 + 90 = 180. The total angle sum of a straight line is 180 degrees.

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