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3 years ago

For this question, use the following functions.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18

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A man walked 6 km per hour how far does he work between 9:30 a.m. and 12 p.m.

kolbaska11 [484]

Answer:

15 km

Step-by-step explanation:

9:30 to 12:00 = 2.5 hours

2.5 x 6 = 15

8 0

3 years ago

Read 2 more answers

Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance

aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let $x$ miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled $x$ miles, the remaining distance is the distance between the lunch stop and the beach.

Let $y$ miles be the remaining distance, so

$y=125-x.$

Give that the ratio of the distance he has traveled, $x$ , to the distance he still has to travel, $y$ , is $2:3$ ,i.e

$x:y=2:3$

$\Rightarrow \frac x y =\frac 2 3$

$\Rightarrow \frac {x}{125-x}=\frac 2 3$

$\Rightarrow 3\times x=2\times(125-x)$

$\Rightarrow 3\times x=2\times125-2\timesx$

$\Rightarrow 3 x=250-2x$

$\Rightarrow 3x-2x=250$

$\Rightarrow x=250$

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

4 0

3 years ago

Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea

babymother [125]

Answer:

a) Jean b) Jean c) Vincent d) Jean

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

$\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}$

c) Comparative advantage in baking cakes

Opportunity cost of Vincent for baking cakes = $\frac{5}{10} = \frac{1}{2}$

Opportunity cost of Jean for baking cakes = $\frac{8}{12} = \frac{2}{3}$

The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

Opportunity cost of Vincent for making pizzas = $\frac{10}{5} = 2$

Opportunity cost of Jean for making pizzas = $\frac{12}{8} = \frac{3}{2}$

The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

8 0

3 years ago

I need helpppp:( like im failing this class

Olin [163]

Answer:

dont even stress i gotchu

It's 50*, 46* and 84*.

Ratio of the second problem is 1:1 they both have a slope of 1 (which is probably why all three points are on the same line)

Step-by-step explanation:

Since we know that the straight/flat angle would equal 180* we will set the total of all those angles to 180*

We will add them up to find x. Once we find x we can find the value of each angle.

6x-10 + 4x + 6 + 7x + 14 = 180

We will combine like terms and solve for x.

17x+10 = 180

17x = 170

x = 10.

Since we have x = 10, we will plug it into x of each angle to get the value of each angle.

6(10) -10 = 60-10 which equals 50*

4(10) + 6 = 40+6 which equals 46*

7(10) + 14 = 70 + 14 which equals 84*.

8 0

3 years ago

Find the value of c(5)<br>c(n)=10+2n

Dahasolnce [82]

Answer:

c = 10/n + 2

Step-by-step explanation:

3 0

2 years ago