Look at the picture please.

4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

5 0

3 years ago

3. Antony and Cleopatra are 100 miles apart . To meet at a planned location , Antony travels at 12 mph and Cleopatra travels at

Vlad1618 [11]

Answer:

60 miles

Step-by-step explanation:

Distance apart = 100

Rate of travel. :

Anthony = 12 mph

Cleopafda = 8 mph

Using the relation :

Speed = distance / time

Distance = speed * time

If they leave at the same time, travel time Can be represented as x

Anthony's distance + Cleopafda distance = total distance

12x +. 8x = 100

20x = 100

x = 5

Hence, they both traveled for 5 hours before meeting.

Distance covered by Anthony :

Speed * time

12 mph * 5h = 60 miles

Anthony must travel. For 60 miles.

5 0

3 years ago

how do you solve this problem. there are approximately 2.1 million deaths per year in country A. Express this quantity as deaths

slamgirl [31]

Well... we know that... there are 365 days in a year, unless is a leap-year, but we'll use 365 anyway

and each day has 24hrs, each hr has 60 minutes

so. let us use those ratios

$\bf 2.1million\iff 2.1E6\iff 2,100,000\qquad thus
\\\\\\
\cfrac{2100000\ deaths}{1\ year}\cdot \cfrac{1\ year}{365\ day}\cdot \cfrac{1\ day}{24\ hr}\cdot \cfrac{1\ hr}{60\ minute}$

so.. multiply and simplify, cancelling out any like-units atop and bottom

notice, all we do, is use the ratios, in a way, that if we need one unit to be changed, we flip the ratio

for example, to toss away "year" unit, since in the first fraction is at the bottom, then we put it on the top on the ratio, year/year = 1, effectively cancelling the unit

5 0

3 years ago

Read 2 more answers

Verify the identity. 4 csc 2x = 2 csc2x tan x

vlada-n [284]

Step-by-step explanation:

$4csc(2x) = 2csc^2(x) tan(x)$