Y α xz
y = kxz y = 72, when x = 6, and z = 4
72 = k*6*4
72 = k*24
24k = 72
k = 72/24
k = 3.
<span>y = kxz
</span>
<span>y = 3xz </span>
Finding y, when x = 3, z = 5.
y = 3xz
y = 3*3*5
y = 45
Answer:
The expression is not factorable with rational numbers.
x² − 4x + 7
Answer: Volume = 
Step-by-step explanation: The <u>washer</u> <u>method</u> is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be
V = 
For this case, the region generated by the conditions proposed above is shown in the attachment.
Because it is revolting around the y-axis, the formula will be:

Since it is given points, first find the function for points (3,2) and (1,0):
m =
= 1

y - 0 = 1(x-1)
y = x - 1
As it is rotating around y:
x = y + 1
This is R(y).
r(y) = 1, the lower limit of the region.
The volume will be calculated as:
![V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cint%5Climits%5E2_0%20%7B%5B%28y%2B1%29%5E%7B2%7D%20-%201%5E%7B2%7D%5D%7D%20%5C%2C%20dy)





The volume of the region bounded by the points is
.
<span>In the question of whether "3/47 is a rational number" - the answer is "yes". The definition for a rational number used in mathematics is that it can be expressed as a fraction in which both the nominator and the denominator are natural numbers , and this is the case here- both 3 and 47 are natural numbers, so 3/47 is a rational number. </span>
The vertex of the graph f(x)= lx+5l-6 is...
(-5,-6)
This is because of the picture above.
Hope this helps