Solve
1 . 10(d+2)
0.25. Show your reasoning.

Answer:

[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]

Step-by-step explanation:

We are given the square root function below:

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.

From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.

Hence,

[tex] \large{y = \sqrt{x - a} }[/tex]

And thus, the domain is

[tex] \large \boxed{x \geqslant a}[/tex]

Since if x < a, the output would become an imaginary number.

From the given function,

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

From the form of sqrt(x-a) where domain is a-term which is 2.

Since a = 2, and thus

[tex] \large \boxed{x \geqslant 2}[/tex]

Answer:

Allowance = $24

Cost of book = $4.8

Cost of pen = $7.2

Step-by-step explanation:

[tex]Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12[/tex]

[tex]x = \frac{1}{5}x + (\frac{3}{8} \times \frac{4}{5})x +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24[/tex]

[tex]cost \ of \ book = \frac{1}{5} \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2[/tex]

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

Answer:

Step-by-step explanation:

-3y+11=20

-3y=20-11

y=9/-3

y=-3

Answer:

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-3y + 11 = 20

Step 2: Solve for y

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

Answer:

y = 2x -2

Step-by-step explanation:

This is only the answer if you need the slope-intercept form equation.

Step-by-step explanation:

[tex] \frac{ - 5 - 3}{6 - 3} [/tex]

which is

[tex] \frac{ - 8}{3} [/tex]

Answer:

5(2y - 3)

18(1 - y)

1.6 quatrz of corn syrup

Step-by-step explanation:

Using distributive property :

10y - 15

5(2y - 3)

6(3 - 3y)

6*3 - 6*3y

18 - 18y

18(1 - y)

C.)

20% of corn syrup

Amount of food to make = 8 quartz

20% of 8 quartz

20% of 8

0.20 * 8

= 1.6 quartz of corn syrup

Answer:

ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

Answer:

5^2 = 100

100 x 3.14 = 314

Now we multiply by 20 since it's the height.

314 x 20 = 6,280 cm^3 is your answer.

Formula of cylinder:

H x πr^2

Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).

Answer:

hey I don't know which one is the hight

Answer:

A) .8 x.6 = .48

Step-by-step explanation:

B, C, and D are all answered incorrect

Answer:

9!

Step-by-step explanation:

Use the given functions to set up and simplify  p ( 3 ) .

-barbara  

Answer:

9

Step-by-step explanation:

p(x)= 4X-3

P(3)= 4×3-3=9

Answer:

Simple Sentence

Step-by-step explanation:

Answer: 1436 units cubed (3.14) or 1437 units cubed (π)

Step-by-step explanation:

answer depends on if you substitute in 3.14 for π or not

Answer:

y = -2

Step-by-step explanation:

The formula for point-slope is as follows:

y - y1 = m(x - x1)

We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):

y + 2 = 0(x - 8)

y + 2 = 0

y = -2

Answer: the answer is 51.41281

Step-by-step explanation:

Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281

Answer: Yes

Step-by-step explanation:

You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.

Answer:

YES IT IS

Step-by-step explanation:

For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).

A squared + B squared = C squared

6 squared + 8 squared = 100

Since we squared our addends, we must find the square root of 100 (which is 10)

Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.

Hope this helps you. Have a great rest of your day.

Answer:

0.47 (Yes - This is a terminating decimal)

0.16666... (Yes - This is a repeating decimal)

0.5473... (No - This is a decimal that neither terminates nor repeates)

0.462 (Yes - This is a terminating decimal)

Step-by-step explanation:

A terminating decimal and a repeating decimal are both types of decimals that can be written as fractions. However, if the decimal is neither of these types, it cannot be written as a fraction.

Answer:

7

Step-by-step explanation: 5.5 divided by 0.75 is 7.3333333333

Answer:

x > -2

Step-by-step explanation:

-18 < 9x is the inequality, right?

We'll divide both sides by 9 to isolate x

-2 < x or x > -2

Answer:

$0.95

Step-by-step explanation:

total cost of 7 pens = total amount spent - cost of binder

$7.90 - $1.25 = $6.65

cost of each pen = total cost of 7 pens / 7

$6.65 / 7 = $0.95

Answer:

B. 12cm

Step-by-step explanation:

We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4 /3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),

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Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).

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Have a good day :)

Answer:10

Step-by-step explanation:

3x6=18 and 10-4=6

Answer:

3X + 4=18+ X

2X =14

X = 7

So the answer is equal to 7

Answer:

14.55'

Step-by-step explanation:

Cosine rule

c^2 = a^2 + b^2 - 2ab cos(C)

here

a=11

b=23

C = 150°

Substitute in cosine rule,

c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)

= 121 + 529 -2 (11) (23) sqrt(3)/2

=211.791

c = sqrt(211.791)

= 14.55