Answer:
f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3
Step-by-step explanation:
Answer:
y =
x + 
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m =
=
= - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 =
+ c ⇒ c = 2 -
= 
y =
x +
← equation of perpendicular line
The answer is 2.25g/ml or 2.25 g/cm³
To do this, you need to know the formula of density. Density is the mass per unit of volume.

Where:
D = Density
M = Mass
V = Volume
You already have your mass, which is 45.0g, so what is your volume?
A graduated cylinder measures the volume of liquids. The procedure that was done here is called the displacement method. You can get an estimated volume of an irregular object by subtracting the initial volume from the final volume.
In this case, it would be:
<span>70.0mL - 50.0mL = 20.0 mL
</span>The volume is then 20.0mL.
Now that we have the volume we can solve for density.


Now take note that 1mL = 1cm³. So you can also express the answer as
2.25g/cm³.
Answer:
m = -3/5
Step-by-step explanation:
Since the line is going downwards towards the right, it is a negative slope.
We can use the points to solve for the slope.
m = -2 - 1 / 2 - (-3)
m = -2 - 1 / 2 + 3
m = -3/5
Therefore, the slope is -3/5.
Given the formula:

First term:

Second term:

Third term:

Fourth term:

Answer: the first four terms are: 4, 9, 16 and 25