Answer:

Step-by-step explanation:
Given the function
, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

<em>Since we are not to solve for the constants, hence the partial fraction is </em>
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Y= 2x-1
Explanation: First, you find slope. If the first point it x-axis point is 0 and the second x-axis point is 1 then you already know the answer is over 1, so you have to figure out how many up you are going on the y-axis from -1 to 1. Which is 2, so your slope is 2/1 or just 2. Next, you find your y-intercept, which is where the line crosses the y-axis, and the easy way to find this is finding what y is equal to when x is equal to 0, in the problem you are told (0, -1) as a point, so they gave you your y-intercept right there, which is -1. Finally you right the equation in slip intercept form (y= mx+b) which is y= 2x-1
Answer:
lol
Step-by-step explanation:
Answer:
≈ 14.14 cm³
Step-by-step explanation:
First find the side length of the cube.
V=S³
27=S³
∛27=∛s³
3=S
Then the volume of the sphere.
V=
× π(pi) × r³(radius cubed)
V=
× π(pi) × (1.5³)
=
π cm³ ≈ 14.14 cm³