What is the product of yx^2 and (6y^2x-yx)

What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

Sati [7]

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

3 0

3 years ago

The quotient of 2x-1 and 3x +5

Hatshy [7]

"quotient of" means divide or fraction bar ... you should look for the word "and" to determine where to place your division sign or fraction bar
ANSWER:
$\frac{2x-1}{3x+5}$
or
(2x - 1) ÷ (3x + 5) ←Used parenthesis because they quantity 2x - 1 is separated from the quantity 3x + 5 by the word "and"

5 0

3 years ago

A swimming pool can be filled by any of three hoses A, B or C. Hoses A and B together take 4 hours to fill the pool. Hoses A and

yanalaym [24]

Answer:

3 hours 28 minutes

Step-by-step explanation:

Let A = the RATE at which hose A can fill the pool alone

Let B = the RATE at which hose B can fill the pool alone

Let C = the RATE at which hose C can fill the pool alone

Hoses A and B working simultaneously can pump the pool full of water in 4 hours

From Question. The combined RATE of hoses A and B is 1/4 of the pool PER HOUR

In other words, A + B = ¼

Hoses B and C working simultaneously can pump the pool full of water in 6 hours

From Question. The combined RATE of hoses A and C is 1/4 of the pool PER HOUR

In other words, B + C = 1/6

Hoses A and C working simultaneously can pump the pool full of water in 5 hours

From Question. The combined RATE of hoses A and C is 1/5 of the pool PER HOUR

In other words, A + C = 1/5

At this point, we have the following system:

A + B = 1/4 ...1

B + C = 1/6 ...2

A + C = 1/5 ...3

Considering equation one

$A = 1/4 -B$

$A = (1 - 4B)/4$ ....4

sub equation 4 into 2

$(1 - 4B)/4 + C = 1/5$

$C = B - (1/20)$

Considering equation 3

B + [B-(1/20)] = 1/6

B =7/80

Sub B Into enq 1 and 2

A =13/80

C = 3/80

A+B+C = 23/80

3.47

=> 3 hours

0.47 × 60 = 28minutes

7 0

3 years ago

Read 2 more answers

1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo

iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0

3 years ago