What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?

Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).
Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Answer:

Area = 226.1 ft^2

and circumference = 61.7 ft.

Both to the nearest tenth.

Step-by-step explanation:

The area of shaded part

= 1/2 *3.14 r^2

= 1/2 * 3.14 * 12^2 = 226.1 ft^2.

Circumferences of the shaded part = diameter + length of the semicircle

= 2 *r + 3.14 * r

= 2*12 + 3.14 * 12

= 61.68 ft.

Answer:

164

Step-by-step explanation:

[tex]20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164[/tex]

Answer:

x = 10/-6 or 5/-3

Step-by-step explanation:

2x - 8 + 3x + 2 = 4x + 10 + 3x - 6

x - 6 = 7x + 4

+6            +6

---------------------

x = 7x + 10

-7x  -7x

---------------------

-6x = 10

x = 10/-6 or 5/-3

I hope this helps!

Answer:

a

Step-by-step explanation:

pounds because all will measure with it only even shop keepers........................................

Answer:

A. 28/253

B. 60/253

Step-by-step explanation

A. first step is to add all the grapes up which = 23

then you would put the

green grapes/ the total which would be 8/23

since henry ate one grape you would subtract 8-1 and then 23-1 and you would get 7 and 22

then you would put 7/22 and multiply 8/23 which gets you 28/253

B. first you put red grapes over total grapes which are 15/23

then,

you would do the green grapes which are 8/22

you would multiply 15/23 and 8/22 which = 60/253

[tex]~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10} \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4[/tex]

The value of  p + q + r + s in the equation 0.1{(5x + 4)(4x - 9)}.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 2x² - 2.9x - 3.6.

Now, 0.1(20x² - 29x - 36).

= 0.1{4x(5x + 4) - 9(5x + 4)}.

= 0.1{(5x + 4)(4x - 9)}.

∴ p + q + r + s = 5 + 4 + 4 - 9.

p + q + r + s = 4.

learn more about quadratic equations here :

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Answer:

g(3) = 0. g(-5) = 2. g(0) = -3

Step-by-step explanation:

simply put whatever is inside the brackets, into where t is in the equation

e.g:

|t| - 3 for g(3) is: |3| - 3 = 0

the two lines around t just mean that whatever is inside you should always turn positive. so |-1| = 1 and |-3 + 1| = 2

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: https://brainly.com/question/416343

Answer:

f(x) = |x - 2| - 2

Step-by-step explanation:

Based on the shape of the graph, it's an absolute value function.

so the template for it is f(x) = |x|

From there, you can make some additions to show how much the graph has shifted from the template equation

since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:

f(x) = |x - 2| - 2

Step-by-step explanation:

1 plus 1 equals 2

It's addition so u just add

1 + 1 = 2

Pls mark me brainiest

Answer:

i dont know what will i do that plss help me

Answer:

<1= 68 degree

<2= 112 degree

<3= 68 degree

<4= 112 degree

<5= 68 degree

<6= 112 degree

<7= 68 degree

<8= 112 degree

Step-by-step explanation:

steps in the image-

Answer:

16/27

Step-by-step explanation:

Formula for probability:

favourable outcomes/possible outcomes

using this we can find the answer.

let's first count all the consonants. there are 16 consonants and 27 total letters. that means that your answer would be 16/27.

80 donuts were made

i hope this helps !

Step-by-step explanation:

1 log 5² - 2 log 2⁵ - 2log3 + log 18 10

= 2log 5 - 10log2 - 2log3 + log 18 10

Answer:

Series Circuit

Step-by-step explanation:

In a series circuit, the total resistance is equal to the sum of all resistances.  Hope this helps u out!

Answer:

7a is not a factor because it doesnt divide into anything.

7a is not a term because it is not only the variable.

3 is a constant because it is a number in the expression.

7a is not a coefficient because it is not just the number.

8b and 5b are like terms because they have the same variables.

None of these are true Thats false because some of the answers are right

Answer:

5,10

Step-by-step explanation:

this is the answer

Answer:

y = 4x + 5

Step-by-step explanation:

Use point-slope formula to plug in the known point and slope.

Answer:Since we know the boat uses 25 gallons of gas per 64 miles, we can divide 64 miles by 25 gallons to get the rate of gallons per hour.

64 ÷ 25 = 2.56 gallons of gas every hour.

Using this information, we can multiply the amount of gas used for one hour, 2.56 gallons, by the 125 gallons of gas that the problem suggests, 125, to find the number of miles the boat can travel on the amount of gas.

2.56 x 125 = 320 miles

Answer: The boat can travel 320 miles on 125 gallons of gas.

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

Answer:

30 degrees

this is a guess but an educated one because the total angle adds up to 180 deg so one i assume is around 100 plus 50 plus 30 makes sense

Answer:

140000

Step-by-step explanation:

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

You see all the zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.

In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)

Therefore, the answer is 140,000

Hope this Helps!

Have a great day!

-Yuri-san

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

Learn more about rate on:

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Answer:

Step-by-step explanation:

The relevant area and volume formulas are ...

  A = 2(LW +H(L +W))

  V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

__

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

Answer:

See below ~

Step-by-step explanation:

1. D. cylinder

2. A. pyramid

3. E. rectangular prism

4. C. cone

5. F. cube