Bevan Mcdonald

2021-01-24

Two practical applications in which “piecewise functions” are used either explicitly

Dora

Skilled2021-01-25Added 98 answers

Step 1

Consider the posed question

The two real-world uses of "piecewise functions," either explicitly or implicitly, that must be covered

First practical applications for "piecewise functions".

A man started drive a car from his home. he travels 25 km in 1 hr after this go to office by bus which is ahead 10 km from the bus stop point. to reach the office from bus step it take 1 hr.

The piecewise function is, in accordance with the preceding assertion

Let S represent the speed in km/hr and t represent the time in hrs.

Speed = Distance / time

$Speed(S)=\{(25km/hr,0\le t\le 1),(10km/hr,1\le t\le 2)\}$

Step 3

Second practical applications for "piecewise functions".

A man goes to the market to purchase the orange but on going there the shopkeeper told him that if you take more than 5 kg then the rate is 50 rs/kg otherwise is 70 rs/kg.

Let r represent the rate in rs/kg and q represent the quantity in kg.

$rate(r)=\{(70rs/kg,0\le q\le 5),(50rs/kg,q>5)\}$

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.