Find the out put, y, when the input, x, is 30.
y= 14 - 0.5x

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]

Answer:

1(x+1)^2

Step-by-step explanation:

Answer: 0.00000124

Step-by-step explanation:

Answer:

the awnser is - 5.876

Step-by-step explanation:

i just did the test

Answer:

2x+3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The height of the wall of the building is 13.067 feet.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-

Applying the Pythagorean theorem to calculate the height of the building.

H² = P² + B²

14² = P² + 5²

P² = 14² - 5²

P = √171 = 13.07 feet

Therefore, the height of the wall of the building is 13.067 feet.

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Answer:

10

Step-by-step explanation:

because it is what it is i just did the math

Answer:

[tex]for \: - 1 \leqslant x < 1 \: y = - 3 \\ for \: \: 1 \leqslant x < 3 \: \: y = 1 \\ for \: 3 \leqslant x \leqslant 5 \: y = 5[/tex]

Answer:

we get 48 if we divide both:)

Answer:

100

Step-by-step explanation:

they sold 2 more that 4 times as many, so subtract two

402-2=400

then divide by four

400/4=100

Hope this helps!

Answer:

2/3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 3 / 9 - 6

2/3

I will assume you meant y = 2x + 13

Answer: y = 2x - 20

Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.

Opening times ::

Opening duration on Wednesdays :

Closing time - Opening time on weekdays :

17:15 - 09:30 = 7 hours, 45 minutes

Opening duration in a while year :

Opening duration on weekdays per week = 7 hours 45 minutes

Opening duration on weekends per week = 8 hours 30 minutes

Total opening duration per Week :

(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes

Number of weeks per year = 52

Total opening time per year :

Therefore, the park opens for a total of 845 hours per year.

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Step-by-step explanation:

1.5x + 6-3= 4.5x- 2

1.5x+3=4.5x-2

we transposed

4.5x-1.5x= 3+2

3x= 5

we divide both sides by 3

3x/3= 5/3

x= 5/3

We want to look at the given graph to estimate the value of f(5). We found that: f(5) = 2

In the coordinate axis, we can see a blue curve, which represents the function f(x).

To find the value of f(5), first, we need to locate the value x = 5 on the horizontal axis.

Once we find it, we need to move vertically until we meet the curve.

Once we meet the curve, we move horizontally until we meet the vertical axis, that intersection gives the value of the function when evaluated in x = 5.

By this method we can see that: f(5) = 2

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Answer:

D. y = -4/5x + 7

Step-by-step explanation:

y = -4/5x + b

7 = -4/5(0) + b

7 = 0 + b

7 = b

Answer:

sleep most definitely worth it

Answer:

heyyy

Step-by-step explanation:

I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL

Answer:

[tex]k = \frac{12r - 9}{4r - 5} \\ [/tex]

Step-by-step explanation:

[tex]k(4r - 5) \geqslant 12r - 9 \\ k = \frac{12r - 9}{4r - 5} \\ [/tex]

Answer:

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

hope it helps

-thank you

Answer:

420

Step-by-step explanation:

hey there!

multiple of 30=2*3*5

multiple of 42=2*3*7

multiple of 60=2*3*3*5

common factors=2*3*5

other factors=7*2

multiplying common factors and other factors we get;

the required answer as 420

hope it helps!!!

Answer: (b+5)(b-5)

Step-by-step explanation:

both b^2 and 25 are square numbers, so square root both of them to give b and 5, then put into brackets with a + and -

Answer:

3?

Step-by-step explanation:

Properties used:

All angles of a triangle add up to 180 degrees

180 is a straight line; so both sides of a straight line add up to 180

10) 180 - 153 = 27

180-27-133 = ?

? = 20 degrees

11) 180-87=93

180-93-23=?

? = 64 degrees

Answer:

11.) Angle FED = 20 Degrees | 12.) Angle FHG=74

Step-by-step explanation:

11.) Angle FED= 20 degrees

one side of a straight line = 180 degrees

all the angles of the insides of a triangle added together = 180 degrees

If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.

12.) Angle FHG=74

For this problem, we use the same formulas as before. So let's solve!

180-87=93. So angle GFH=83 degrees.

Now we need to add the angles together:

83+23+?=180. 83+23=106

180-106=74.

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Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

The graph of the solution set [tex]9 > 3 + 2x[/tex]  is represented by the inequality relation x < 3.

The correct answer is Option A.

Given data:

The inequality is represented as 9 > 3 + 2x

The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:

Subtract 3 from both sides: 9 - 3 > 2x

Simplify: 6 > 2x

Divide both sides by 2: 3 > x

So, the solution set is x < 3.

Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).

Hence, the inequality is x < 3.

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Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)  

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is  

nonnegative, number of items is a nonnegative integer, etc.

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps

Answer:

The equation has “one solution” because a = -4

Step-by-step explanation:

2a + 2 = 3 (a + 2)

2a + 2 = 3a + 6

     -2            -2

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

2a = 3a + 4

-3a   -3a

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

-1a = 4

/-1     /-1

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

a = -4

The equation has a solution which is a = -4 this means that there is "one solution".

Answer:

The equation has “one solution” because a = -4

Answer:

14:40

Step-by-step explanation: