Answer:
See attached picture.
Step-by-step explanation:
To graph linear inequalities, use the y=mx + b form to graph using the slope and y-intercept.
y ≤ -4x + 40 has slope -4 and y-intercept (0,40).
Start at (0,40) and mark it. Then move down 4 units and to the right 1. Mark this point at (1,36). Connect the points with a solid line since the inequality has equal to. Substitute a point like (0,0) to test where the solution set is.
0 ≤ -4(0) + 40
0 ≤ 0 + 40
0 ≤ 40
This is true so shade to the left of the line.
To graph y ≤ 10 mark a point on the y-axis at (0,10). Draw a horizontal solid line through the point. Then shade below the line.
Because the area in the drawing is 36 cm^2, one side length is 6 cm.
On the actual floor, this equates to 24 ft.
This means the area of the floor in real life is 576 square feet.
Therefore the ratio is 36 square centimetres : 576 square feet.
This is the same as 1 square centimetre : 16 square feet.
Answer:
2x - 4
Step-by-step explanation:
Additive inverse of -2x + 4 = 2x - 4
To find the additive inverse, change the sign of each term
Answer:
D(V) = 100,48 cm³
Step-by-step explanation:
The volume of a sphere is:
V(s) = 4/3 π*r³
Where r is the radius of the sphere
If we take derivative of V respect r
D(V)/ dr = 4/3*3*π*r² ⇒ D(V)/ dr = 4*π*r² ⇒ D(V) = 4*π*r²*dr
We know:
r = 20 cm and dr = 0,02 ( at most)
Then
D(V) = 4*π*(20)²*0.02 cm³
D(V) = 32*π
D(V) = 100,48 cm³
